Floor design system, floor design method, and floor design program

Abstract

To provide a floor design system, a floor design method, and a floor design program capable of designing a floor while evaluating vibration.SOLUTION: A floor design method is a method executed by a calculation unit for a floor including a plurality of floor panels and beam members. The floor design method includes a minimum value calculation step, a first determination step, a maximum value calculation step, a second determination step, an estimated eigenvalue calculation step, and a third determination step. The calculation unit calculates a minimum primary natural frequency fmin. When the minimum primary natural frequency fmin is smaller than the first set value S1, the maximum primary natural frequency fmax is calculated. When the maximum primary natural frequency fmax is equal to or greater than the second set value S2, the estimated primary natural frequency fx is calculated. Then, it is determined whether the estimated first natural frequency fx is equal to or greater than the third set value S3. When the estimated primary natural frequency fx is equal to or greater than the third set value S3, the calculation unit determines that the design of the flooring panel satisfies the panel vibration standard.SELECTED DRAWING: Figure 15

Description

[Technical Field]

[0001] The present disclosure relates to a floor design system, a floor design method, and a floor design program. [Background technology]

[0002] Systems for calculating the vibration of building floors are known. For example, the system described in Patent Document 1 calculates the vertical acceleration of a vibration evaluation point that changes over time when a time-varying excitation force acts as an external force in an evaluation area where a partition wall is located. [Prior art documents] [Patent documents]

[0003] [Patent Document 1] Japanese Patent Publication No. 2022-158338 Summary of the Invention [Problem to be solved by the invention]

[0004] The above technology can evaluate vibrations in an evaluation area where partition walls are arranged. The vibration evaluation is useful for floor design. However, there is no known technology that can design a floor while evaluating vibrations for a floor that is composed of one or more floor panels and does not have partition walls or the like. [Means for solving the problem]

[0005] (1) A floor design method that solves the above problem is a floor design method executed by a calculation unit for a floor that includes a plurality of floor panels that are connected to each other and beam members that are arranged to surround the periphery of the plurality of floor panels, wherein the calculation unit includes a minimum value calculation step in which the calculation unit calculates a minimum first-order natural frequency that is the minimum value of the first-order natural frequency of the floor panels based on a first model in which the vibration frequency of the floor panels is estimated to be low, a first determination step in which the calculation unit determines whether the minimum first-order natural frequency is equal to or greater than a first set value, and if the minimum first-order natural frequency is smaller than the first set value, the calculation unit calculates a maximum first-order natural frequency that is the maximum value of the first-order natural frequency of the floor panels based on a second model in which the vibration frequency of the floor panels is estimated to be high. a second determination step in which the calculation unit determines whether the maximum primary natural frequency is equal to or greater than a second set value which is set to a value smaller than the first set value; an estimated natural value calculation step in which, if the maximum primary natural frequency is equal to or greater than the second set value, the calculation unit calculates an estimated primary natural frequency as the primary natural frequency of the floor panel based on relationship information which indicates the relationship between the load bearing rate and the primary natural frequency and the load bearing rate of the floor panel; and a third determination step in which the calculation unit determines whether the estimated primary natural frequency is equal to or greater than a third set value which is smaller than the first set value, and determines that the design of the floor panel satisfies the panel vibration standard if the estimated primary natural frequency is equal to or greater than the third set value.

[0006] According to this configuration, in a floor where multiple floor panels are surrounded by beam members, floor panels can be designed while evaluating vibrations.

[0007] (2) In the floor design method described in (1) above, in the first determination step, if the minimum first-order natural frequency is equal to or greater than the first set value, the calculation unit determines that the floor satisfies the panel vibration standard. With this configuration, the suitability of the floor panel design can be determined.

[0008] (3) In the floor design method described in (1) or (2) above, in the second determination step, if the maximum first-order natural frequency is smaller than the second set value, the calculation unit determines that the floor panel parameters of the floor panel need to be reset. With this configuration, it is possible to determine whether or not the floor panel parameters of the floor panel need to be reset.

[0009] (4) The floor design method according to any one of (1) to (3) above, further comprising a load sharing rate calculation step of calculating the load sharing rate of the floor panel, the load sharing rate calculation step comprising: a connection information setting step of setting connection parameters related to a connection structure between the floor panels; a provisional value calculation step of the calculation unit calculating a provisional value of the load sharing rate based on the connection parameters; and a load sharing rate determination step of the calculation unit determining whether the provisional value of the load sharing rate is equal to or less than a load sharing rate setting value, and if the provisional value of the load sharing rate is equal to or less than the load sharing rate setting value, setting the provisional value of the load sharing rate to the load sharing rate. With this configuration, the load sharing rate can be set to a value equal to or less than the load sharing rate setting value. This makes it possible to prevent the estimated first-order natural frequency calculated using the load sharing rate from becoming a low value.

[0010] (5) In the floor design method described in (4) above, in the load sharing rate determination step, if the provisional value of the load sharing rate is greater than the load sharing rate setting value, the calculation unit determines that the connection parameters need to be reset. With this configuration, in the load sharing rate determination step, it is possible to determine whether or not the connection parameters between floor panels need to be reset.

[0011] (6) In the floor design method described in (5) above, in the third determination step, if the estimated first natural frequency is smaller than the third set value, the calculation unit determines that the connection parameters need to be reset. With this configuration, in the third determination step, it can be determined whether or not the connection parameters between floor panels need to be reset.

[0012] (7) In the floor design method described in (3) above, the floor panel parameters include the Young's modulus of the floor panel, the moment of inertia of the floor panel, the length of the floor panel, the mass including the finish and live load of the floor panel, and a panel end rotation spring stiffness coefficient indicating the stiffness spring coefficient related to rotation at the end of the floor panel. With this configuration, the floor panel can be redesigned based on these floor panel parameters.

[0013] (8) In the floor design method described in any one of (1) to (7) above, the calculation unit calculates the effective length of the floor panel based on the Young's modulus of the floor panel, the moment of inertia of the floor panel, the length of the floor panel, and a panel end rotational spring stiffness coefficient indicating stiffness related to rotation at the end of the floor panel, and calculates the minimum first-order natural frequency based on the effective length of the floor panel. With this configuration, the minimum first-order natural frequency can be calculated based on these parameters.

[0014] (9) In the floor design method described in any one of (1) to (8) above, the calculation unit calculates the converted mass of the floor panel in the second model based on a two-side support stiffness coefficient related to the stiffness of the floor panel supported on two sides and a three-side support differential stiffness coefficient related to the stiffness of the floor panel supported on three sides, and calculates the maximum first-order natural frequency based on the effective length of the floor panel and the converted mass. With this configuration, the maximum first-order natural frequency can be calculated based on these parameters.

[0015] (10) In the floor design method described in any one of (1) to (9) above, the relationship information is a relational expression, which, in a coordinate system with axes of natural frequency and load bearing rate, passes through a first point where the natural frequency is the minimum first-order natural frequency and the load bearing rate is 1, and a second point where the natural frequency is the maximum first-order natural frequency and the load bearing rate is a minimum value. With this configuration, the relational expression can be easily constructed.

[0016] (11) In the floor design method described in (4) above, the connection parameter is the shear spring stiffness coefficient between the two adjacent floor panels. With this configuration, the connection parameter can be replaced with a single coefficient. This allows the linkage effect of floor vibration between adjacent floor panels to be reflected and simplifies the calculations performed by the calculation unit.

[0017] (12) A floor design system that solves the above problem is a floor design system that designs a floor having a plurality of floor panels connected to each other and beam members arranged to surround the plurality of floor panels, and includes a minimum value calculation unit that calculates a minimum first-order natural frequency, which is the minimum value of the first-order natural frequency of the floor panels, based on a first model in which the vibration frequency of the floor panels is estimated to be low, a first determination unit that determines whether the minimum first-order natural frequency is equal to or greater than a first set value, and, if the minimum first-order natural frequency is smaller than the first set value, calculates a maximum first-order natural frequency, which is the maximum value of the first-order natural frequency of the floor panels, based on a second model in which the vibration frequency of the floor panels is estimated to be high. a second determination unit that determines whether the maximum primary natural frequency is equal to or greater than a second set value that is set to a value smaller than the first set value; an estimated natural value calculation unit that calculates an estimated primary natural frequency as the primary natural frequency of the floor panel based on relationship information that indicates the relationship between a load bearing rate and a primary natural frequency and the load bearing rate of the floor panel, if the maximum primary natural frequency is equal to or greater than the second set value; and a third determination unit that determines whether the estimated primary natural frequency is equal to or greater than a third set value that is a value smaller than the first set value, and determines that the design of the floor panel satisfies the panel vibration standard if the estimated primary natural frequency is equal to or greater than the third set value.

[0018] According to this configuration, in a floor where multiple floor panels are surrounded by beam members, floor panels can be designed while evaluating vibrations.

[0019] (13) A floor design program that solves the above problem is a floor design program that causes a computer to design a floor that includes a plurality of floor panels that are connected to each other and beam members that are arranged to surround the plurality of floor panels, the floor design program including: a minimum value calculation step that causes the computer to calculate a minimum primary natural frequency that is the minimum value of the primary natural frequency of the floor panels based on a first model in which the vibration frequency of the floor panels is estimated to be low; a first determination step that causes the computer to determine whether the minimum primary natural frequency is equal to or greater than a first set value; and a second determination step that causes the computer to calculate a maximum primary natural frequency that is the maximum value of the primary natural frequency of the floor panels based on a second model in which the vibration frequency of the floor panels is estimated to be high if the minimum primary natural frequency is smaller than the first set value. a second determination step of causing the computer to determine whether the maximum primary natural frequency is equal to or greater than a second set value which is set to a value smaller than the first set value; an estimated natural value calculation step of causing the computer to calculate an estimated primary natural frequency as the primary natural frequency of the floor panel based on relationship information which indicates the relationship between the load bearing rate and the primary natural frequency and the load bearing rate of the floor panel, if the maximum primary natural frequency is equal to or greater than the second set value; and a third determination step of causing the computer to determine whether the estimated primary natural frequency is equal to or greater than a third set value which is a value smaller than the first set value, and to determine that the design of the floor panel satisfies the panel vibration standard if the estimated primary natural frequency is equal to or greater than the third set value.

[0020] According to this configuration, in a floor where multiple floor panels are surrounded by beam members, it is possible to have a computer design the floor panels while evaluating vibrations.

[0021] (14) A floor design method for solving the above problem is a floor design method executed by a calculation unit for a floor including one floor panel and beam members arranged to surround the periphery of the floor panel, the floor design method including: a minimum value calculation step in which the calculation unit calculates a minimum primary natural frequency, which is the minimum value of the primary natural frequency of the floor panel, based on a first model in which the vibration frequency of the floor panel is estimated to be low; a first determination step in which the calculation unit determines whether the minimum primary natural frequency is equal to or greater than a first set value; and if the minimum primary natural frequency is smaller than the first set value, the calculation unit determines whether the vibration frequency of the floor panel is estimated to be high. The method includes a maximum value calculation step of calculating a maximum first-order natural frequency, which is the maximum value of the first-order natural frequency of the floor panel, based on a second model, and a second judgment step in which the calculation unit judges whether the maximum first-order natural frequency is equal to or greater than a second set value that is set to a value smaller than the first set value, wherein in the first judgment step, if the minimum first-order natural frequency is equal to or greater than the first set value, the calculation unit judges that the floor satisfies the panel vibration standard, and in the second judgment step, if the maximum first-order natural frequency is smaller than the second set value, the calculation unit judges that the floor panel parameters of the floor panel need to be reset.

[0022] According to this configuration, in a floor where one floor panel is surrounded by beam members, the floor panel can be designed while evaluating vibrations. [Effects of the Invention]

[0023] According to the floor design method, floor design system, and floor design program of the present disclosure, floors can be designed while evaluating vibrations. [Brief explanation of the drawings]

[0024] [Figure 1] FIG. [Figure 2] 2 is a cross-sectional view of the floor taken along line 2-2 in FIG. 1. [Figure 3] FIG. 2 is a block diagram of a calculation unit. [Figure 4] This is a schematic diagram of the floor model seen from the side. [Figure 5] This is a schematic diagram of a floor model viewed from an angle. [Figure 6] 1 is a flowchart of a floor design method. [Figure 7] FIG. 1 is a schematic diagram of a first model. [Figure 8] FIG. 10 is a diagram showing the relationship between bending moment and distance along the longitudinal direction of the floor panel. [Figure 9] FIG. 10 is a diagram showing the relationship between the first set value and the minimum first-order natural frequency in the first determination step. [Figure 10] FIG. 10 is a schematic diagram of a second model. [Figure 11] FIG. 10 is a diagram showing the relationship between the second set value and the maximum first-order natural frequency in the second determination step. [Figure 12] FIG. 10 is a schematic diagram of the third model. [Figure 13] FIG. 10 is a diagram illustrating an equation for deriving an equation relating to the load bearing rate of a floor panel. [Figure 14] FIG. [Figure 15] FIG. 10 is a diagram showing the relationship between the second set value and the estimated first-order natural frequency in the third determination step. [Figure 16] FIG. 10 is a diagram illustrating an equation for deriving an equation relating to the load bearing rate of a floor panel. DETAILED DESCRIPTION OF THE INVENTION

[0025] First Embodiment The floor design method of this embodiment will be described with reference to Figures 1 to 15. The floor design method is a method for designing a floor 1 of a building. Specifically, the floor design method is a floor design method that can evaluate the vibration of the floor 1.

[0026] When a floor 1 is supported by two beam members 3, as the distance between the two beam members 3 increases, the vibration of the floor panel 2 in response to walking increases. In particular, when the floor panel 2 vibrates at the natural frequency of the first mode, the amplitude is large and the period is low, which may cause discomfort to pedestrians or people in the area. Conventionally, the distance between the beam members 3 is sufficiently narrow, so there has been no problem with the vibration of the floor panel 2. However, in recent years, there has been a demand for larger indoor spaces, and attempts have been made to increase the size of the floor panel 2 and the distance between the beam members 3. In this case, vibration of the floor panel 2 becomes a concern. In this situation, this embodiment proposes a method for designing the floor 1 while simulating the vibration of the floor 1.

[0027] The floor 1 that is the subject of the floor design method comprises a plurality of floor panels 2 and beam members 3. The plurality of floor panels 2 are connected to one another by a floor underlayment 5. The beam members 3 support the plurality of floor panels 2. The beam members 3 are arranged so as to surround the periphery of the plurality of floor panels 2.

[0028] [Floor model] A model of a floor 1 to be designed will be described with reference to FIGS. The beam members 3 are made of H-shaped steel. The beam members 3 are assembled in a rectangular or square shape in plan view. A plurality of floor panels 2 are placed on the rectangular or square assembled beam assembly. The beam assembly is arranged so as to surround the periphery of the plurality of floor panels 2 in plan view.

[0029] The floor panels 2 are made of concrete building materials or lightweight aerated concrete building materials. In the model of floor 1 shown in Figure 1, the floor 1 is made up of three floor panels 2. The three floor panels 2 are arranged in parallel. The three floor panels 2 are equal in size and shape. The floor panels 2 have ends in the longitudinal direction and side ends in a direction perpendicular to the longitudinal direction. The three floor panels 2 are arranged in a direction perpendicular to the longitudinal direction (hereinafter referred to as the arrangement direction DA).

[0030] Of the three floor panels 2, the central floor panel 2 (hereinafter referred to as central floor panel 2A) has both ends fixed to beam members 3 with metal fittings 4. The central floor panel 2A is supported on two sides. Of the three floor panels 2, the floor panels 2 on both sides (hereinafter referred to as end floor panels 2B) have both ends fixed to beam members 3 with metal fittings 4, and the middle parts of the side ends of the end floor panel 2B are fixed to beam members 3 with metal fittings 4. The end floor panel 2B is supported on three sides.

[0031] The multiple floor panels 2 are connected to each other by underfloor materials 5 placed on top of the floor panels 2. Three underfloor materials 5 are placed on top of the multiple floor panels 2. Of the three underfloor materials 5, the central underfloor material 5 is larger than the other two underfloor materials 5. The three underfloor materials 5 are placed so as to intersect with the three floor panels 2. The three floor panels 2 are fixed to the floor panels 2 with fixing members such as fixing screws 5A, nails, or bolts. The connecting structure between the multiple floor panels 2 changes depending on the material of the underfloor materials 5, the thickness of the underfloor materials 5, and the number of fixing members. The vibration of the floor 1 changes depending on the connecting structure. For this reason, the connecting structure is an element that is considered when designing the floor 1.

[0032] The floor design method is executed by a calculation unit 8. An example of the calculation unit 8 is a computer. The calculation unit 8 may be a part of a computing system. The calculation unit includes a processor and a program that causes the processor to perform operations.

[0033] An example of the calculation unit 8 will be described with reference to FIG. As shown in FIG. 3, the calculation unit 8 includes an initial setting unit 9, a parameter setting unit 10, a minimum value calculation unit 11, a first judgment unit 12, a maximum value calculation unit 13, a second judgment unit 14, an estimated eigenvalue calculation unit 15, and a third judgment unit 16.

[0034] A display unit 25 is connected to the calculation unit 8. The display unit 25 displays the determination results determined by the calculation unit 8, the minimum first-order natural frequency fmin, the maximum first-order natural frequency fmax, and the estimated first-order natural frequency fx. The display unit 25 also displays a message that is generated when redesign is necessary. An example of the display unit 25 is a monitor.

[0035] An input unit 26 is connected to the calculation unit 8. The input unit 26 is a device for inputting information such as initial setting values ​​and floor panel parameters to the calculation unit 8. An example of the input unit 26 is a keyboard.

[0036] The initial setting unit 9 is a calculation unit that executes the settings performed in the initial setting step (see below). The parameter setting unit 10 is a calculation unit that executes the settings performed in the parameter setting step (see below). The minimum value calculation unit 11 is a calculation unit that executes the calculations performed in the minimum value calculation step (see below). The first judgment unit 12 is a calculation unit that executes the judgments performed in the first judgment step (see below). The maximum value calculation unit 13 is a calculation unit that executes the calculations performed in the maximum value calculation step (see below). The second judgment unit 14 is a calculation unit that executes the judgments performed in the second judgment step (see below). The estimated eigenvalue calculation unit 15 is a calculation unit that executes the calculations performed in the estimated eigenvalue calculation step (see below). The third judgment unit 16 is a calculation unit that executes the judgments performed in the third judgment step (see below).

[0037] The estimated eigenvalue calculation unit 15 includes a burden rate calculation unit 17 and an estimated primary eigenvalue calculation unit 18. The burden rate calculation unit 17 is a calculation unit that executes the calculation performed in the burden rate calculation step (see below). The burden rate calculation unit 17 includes a link information setting unit 21, a provisional value calculation unit 22, and a burden rate determination unit 23. The link information setting unit 21 is a calculation unit that executes the setting performed in the link information setting step (see below). The provisional value calculation unit 22 is a calculation unit that executes the calculation performed in the provisional value calculation step (see below). The burden rate determination unit 23 is a calculation unit that executes the determination performed in the burden rate determination step (see below).

[0038] In a computer, each arithmetic unit refers to a computing means temporarily configured in memory through cooperation between modular elements that make up a program and the computer's arithmetic device. Modular elements are provided corresponding to each part of the calculation unit 8. Each arithmetic unit may be configured with an electric circuit. Some arithmetic units may be distributed among multiple computers that communicate with each other.

[0039] The floor design method of this embodiment will be outlined with reference to FIGS. The floor 1 comprises a plurality of floor panels 2. The plurality of floor panels 2 are connected to one another by underfloor materials 5. In other words, the floor 1 has a connecting structure. The connecting structure makes the floor panels 2 into an integrated floor 1. Therefore, the connecting structure restrains the individual floor panels 2 from one another, thereby suppressing vibration of the individual floor panels 2.

[0040] Fig. 4 is a side view of a model of a floor 1 with a plurality of floor panels 2. Fig. 5 is an oblique view of a model of a floor 1 with a plurality of floor panels 2. In Fig. 5, the floor panels 2 are represented by line segments.

[0041] The multiple floor panels 2 are supported at least at both ends. That is, the floor panels 2 are supported on at least two sides. The floor panels 2 are considered to have a two-side support stiffness coefficient K2, which is a coefficient related to the stiffness of the floor panels 2 supported on two sides. Conceptually, the two-side support stiffness coefficient K2 can be defined as the self-borne load F0 borne by the floor panel 2 divided by the vertical displacement y when a load F is applied to the center of the longitudinal direction of the floor panel 2 (F0 / y). The two-side support stiffness coefficient K2 is calculated based on floor panel parameters (see below).

[0042] Of the multiple floor panels 2, the floor panels 2 at both ends in the arrangement direction DA are supported at both ends and at the side ends. In other words, the floor panels 2 are supported on three sides. The floor panels 2 are considered to have a two-side support stiffness coefficient K2 as well as a three-side support stiffness coefficient, which is a coefficient related to the stiffness of the floor panels 2 supported on three sides. Conceptually, the three-side support stiffness coefficient can be defined as the value (F0 / y-K2) obtained by dividing the self-borne load F0 borne by the floor panel 2 by the vertical displacement y when a load F is applied to the center of the floor panel 2 in the longitudinal direction, and then subtracting the two-side support stiffness coefficient K2. The three-side support stiffness coefficient is calculated based on the floor panel parameters (see below).

[0043] The end of the floor panel 2 is fixed to the beam member 3 with a metal fitting 4. When the floor panel 2 vibrates, the end of the floor panel 2 moves back and forth with the joint with the beam member 3 as a fulcrum. For this reason, the end of the floor panel 2 can be considered to be connected to the beam member 3 via a rotational spring. In this embodiment, the stiffness coefficient of the panel end rotational spring at the end of the floor panel 2 is called the panel end rotational spring stiffness coefficient Kr. The panel end rotational spring stiffness coefficient Kr is set in advance by testing or the like.

[0044] Adjacent floor panels 2 are connected by a floor underlayment 5 that is provided across multiple floor panels 2. Adjacent floor panels 2 can be considered to be connected by a shear spring. In this embodiment, the stiffness coefficient of the shear spring between two floor panels 2 is called the shear spring stiffness coefficient K1. The shear spring stiffness coefficient K1 is set by the connection parameters.

[0045] In this embodiment, first, vibration of the floor panel 2 is simulated under the condition that there is no constraint due to connections. This step corresponds to the first sub-step of the pre-step described below.

[0046] Second, the vibration of the floor panel 2 is simulated under the assumption that the constraint due to the connection is infinite and that the side ends of the floor panel 2 are indirectly fixed to the beam members 3. This process corresponds to the second sub-process of the previous process described below.

[0047] Third, the vibration of the floor panel 2 in the connected state is simulated. This process corresponds to the later process described below.

[0048] The floor design method can be broadly divided into two steps: a pre-process and a post-process. The pre-process is a process related to the design of the floor panel 2 itself. The pre-process includes a first process S1 to a sixth process S6. The pre-process is a process for evaluating whether the floor panel 2 itself is appropriate for a first set value S1 of vibration. The first set value S1 is set in advance as a target value for vibration.

[0049] The pre-processing step further includes two sub-processes. Hereinafter, one of the two sub-processes will be referred to as the first sub-process and the other as the second sub-process. The first sub-process includes a third process S3 and a fourth process S4.

[0050] In the first sub-process, the vibration of the floor panel 2 is simulated under conditions assuming no constraints due to connections. In this case, since there is no constraint from other floor panels 2, the floor panel 2 is most susceptible to vibration. Here, "susceptible to vibration" means that it is most susceptible to vibrating at a lower frequency. The first natural frequency calculated in the first sub-process can be regarded as the minimum value of the first natural frequency of the floor panel 2 under conditions in which the floor panel 2 is most susceptible to vibration. Therefore, if the first natural frequency calculated in the first sub-process is equal to or greater than the first set value S1, the design of the floor panel 2 can be evaluated as being sufficient against vibration. On the other hand, if the first natural frequency calculated in the first sub-process is smaller than the first set value S1, it can be evaluated that the design of the floor panel 2 may not be sufficient against vibration.

[0051] The second sub-process includes a fifth process S5 and a sixth process S6. The second sub-process is executed when the first natural frequency in the first sub-process is smaller than the first set value S1.

[0052] In the second sub-step, the vibration of floor 1 is simulated under conditions assuming infinite constraint due to connections. In this case, floor panel 2 is least likely to vibrate because the constraint due to the other floor panels 2 is infinite. Here, "less likely to vibrate" means less likely to vibrate at low frequencies. The first-order natural frequency calculated in the second sub-step can be regarded as the maximum first-order natural frequency of floor panel 2 under conditions in which floor panel 2 is least likely to vibrate. Therefore, if the first-order natural frequency calculated in the second sub-step is smaller than the second set value S2, which is the vibration tolerance, it can be evaluated that the floor panel 2 vibrates at a low frequency that is practically unacceptable. In this case, the floor panel 2 is redesigned. On the other hand, if the first-order natural frequency calculated in the second sub-step is equal to or greater than the second set value S2, which is the vibration tolerance, it can be evaluated that the design of floor panel 2 may be able to increase the first-order natural frequency above the second set value S2 by relaxing the maximum constraint restriction, i.e., by taking into account the connection structure. The second set value S2 is set in advance as an allowable value for vibration.

[0053] The post-processing is a process related to the floor panels 2 in a connected state. The post-processing includes a seventh process S7 to a ninth process S9. The post-processing is performed when the first natural frequency is equal to or greater than the second set value S2, which is the allowable value for vibration, in the second sub-processing. In other words, the post-processing is performed when there is a possibility that the first natural frequency will be equal to or greater than the second set value S2 due to the connection structure.

[0054] Specifically, in the post-process, the primary natural frequency of the floor panel 2 is calculated taking into account the connecting structure. If the primary natural frequency calculated in the post-process is equal to or greater than the third set value S3, it can be evaluated as being sufficient against vibration. On the other hand, if the primary natural frequency calculated in the post-process is smaller than the third set value S3, the connecting structure is redesigned.

[0055] [Floor design method] Each step of the floor design method will be described with reference to FIGS. The floor design method includes a minimum value calculation step, a maximum value calculation step, an estimated eigenvalue calculation step, a first determination step, a second determination step, and a third determination step. The floor design method further includes an initial setting step and a parameter setting step. The estimated eigenvalue calculation step includes a burden rate calculation step and an estimated primary eigenvalue calculation step. The burden rate calculation step includes a link information setting step, a provisional value calculation step, and a burden rate determination step.

[0056] The relationship between each step in the flowchart of FIG. 4 and each step in the floor design method will be described. The first step S1 corresponds to an initial setting step. The second step S2 corresponds to a parameter setting step. The third step S3 corresponds to a minimum value calculation step. The fourth step S4 corresponds to a first determination step. The fifth step S5 corresponds to a maximum value calculation step. The sixth step S6 corresponds to a second determination step.

[0057] The seventh step S7 corresponds to the link information setting step. The eighth step S8 corresponds to the provisional value calculation step. The ninth step S9 corresponds to the burden rate determination step. The tenth step S10 corresponds to the estimated primary eigenvalue calculation step. The eleventh step S11 corresponds to the third determination step. The estimated eigenvalue calculation step described above includes the seventh step S7 to the tenth step S10. The burden rate calculation step described above includes the seventh step S7 to the ninth step S9. Each step will be described below.

[0058] [Initial setting process] In the initial setting, the calculation unit 8 sets a target value for vibration of the floor 1. The calculation unit 8 sets a first set value S1, a second set value S2, and a third set value S3 as the target values. The calculation unit 8 sets the first set value S1, the second set value S2, and the third set value S3 based on values ​​input from the input unit 26. The first set value S1, the second set value S2, and the third set value S3 are set based on values ​​that are tolerable when walking on the floor 1 of a house (hereinafter referred to as the practical minimum vibration frequency).

[0059] The first set value S1 is set higher than the lowest practical frequency and is used to evaluate the minimum first-order natural frequency fmin calculated by simulation in the first sub-process of the previous process.

[0060] The second set value S2 is set to a value smaller than the first set value S1. The second set value S2 is a value used in evaluating the maximum first-order natural frequency fmax calculated by simulation in the second sub-process of the previous process.

[0061] The third set value S3 is set to a value smaller than the first set value S1. In this embodiment, the third set value S3 is equal to the second set value S2. The third set value S3 is a value used in a subsequent process to evaluate the estimated first-order natural frequency fx calculated by simulation.

[0062] In the initial setting, the calculation unit 8 also sets a burden rate setting value. The burden rate setting value is a value used to evaluate the provisional value of the burden rate RF in the burden rate determination step described later.

[0063] [Parameter setting process] In the parameter setting step, the calculation unit 8 sets floor panel parameters of the floor panel 2. The floor panel parameters are used to calculate the minimum first-order natural frequency fmin, the maximum first-order natural frequency fmax, and the estimated first-order natural frequency fx.

[0064] The floor panel parameters include a plurality of parameters. The floor panel parameters are the Young's modulus of floor panel 2 (N / m 2 ), moment of inertia of floor panel 2 against out-of-plane bending (m 4), the length L (m) of the floor panel 2, the mass (kg) of the floor panel 2 including the finish and live load, and the panel end rotational spring stiffness coefficient Kr (N·m / rad). The panel end rotational spring stiffness coefficient Kr indicates the stiffness spring coefficient for rotation at the end of the floor panel 2. The mass of the floor panel 2 including the finish and live load indicates the total mass including the floor panel 2 itself, the finishing materials, and the live load. The live load is preset as the total load of the load placed on the floor panel 2.

[0065] In this embodiment, the material, size, shape, and mass of each of the plurality of floor panels 2 are all the same. Therefore, the plurality of floor panels 2 have the same floor panel parameters.

[0066] In the formulas shown below, the symbols are defined as follows: E is the Young's modulus of floor panel 2 (N / m 2 ) I is the moment of inertia of the floor panel 2 against out-of-plane bending (m 4 ) L indicates the length L (m) of the floor panel 2. M indicates the mass (kg) of the floor panel 2 including the finish and live load. Kr indicates the panel end rotational spring stiffness coefficient Kr (N·m / rad). n indicates the number of floor panels 2 that make up the floor 1.

[0067] [Minimum value calculation process] The minimum value calculation step is included in the first sub-step of the preceding step and corresponds to the third step S3 in the flowchart.

[0068] In the minimum value calculation process, the vibration of the floor panel 2 is simulated under conditions that assume there is no constraint due to connections. A state in which there is no constraint due to connections is a state in which it is assumed that there is no load transmission between the floor panels 2. Under these conditions, each floor panel 2 vibrates independently, making it the most susceptible to vibration. Here, as mentioned above, "susceptible to vibration" means that it is susceptible to vibrating at a lower frequency. Under these conditions, the vibration frequency of the floor panel 2 can be estimated to be the lowest.

[0069] In the minimum value calculation step, the calculation unit 8 calculates the minimum first-order natural frequency fmin, which is the minimum value of the first-order natural frequency of the floor panel 2, based on the first model in which the frequency of the floor panel 2 is estimated to be low.

[0070] FIG. 7 is a schematic diagram of the first model. The first model is a model in which the vibration frequency of the floor panel 2 is underestimated. Specifically, the first model shows the state of the floor panel 2 when there is no constraint due to connections. In this state, the floor panel 2 can be considered to be supported on two sides. Therefore, the first natural frequency of the floor panel 2 can be easily derived from the formula for the first natural frequency of a simply supported beam.

[0071] In this embodiment, the ends of the floor panel 2 are not completely fixed, but are considered to be capable of relative rotational movement with respect to the beam member 3. In this case, the node in the vibration of the floor panel 2 is located inside the ends of the floor panel 2. The distance between the two nodes can be considered to be the effective length Le of the floor panel 2.

[0072] The calculation unit 8 calculates the actual length Le of the floor panel 2 based on the Young's modulus of the floor panel 2, the second moment of area of ​​the floor panel 2, the length L of the floor panel 2, and the panel end rotational spring stiffness coefficient Kr, which indicates the stiffness with respect to rotation at the end of the floor panel 2 (see equation (1)).

[0073] The calculation unit 8 calculates the minimum first-order natural frequency fmin based on the effective length Le of the floor panel 2 (see equation (2)). In this embodiment, the minimum first-order natural frequency fmin is calculated based on the formula for the first-order natural frequency of a beam simply supported at both ends and the effective length Le.

[0074] Specifically, the minimum first-order natural frequency fmin can be calculated using the following equations (1) and (2).

[0075]

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[0076]

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[0077] Equation (2) is the formula for the first natural vibration of a beam supported on two sides, in which the length of the beam is replaced with the effective length Le.

[0078] The effective length Le can be derived from the following equations (3) and (4).

[0079]

number

[0080] As shown in Figure 8, the bending moment Mo of the floor panel 2 supported on two sides is expressed as a square function of the distance. The distance indicates the distance along the longitudinal direction of the floor panel 2. The square function is M=kx, where x is the distance and k is the coefficient. 2 + a. The bending moment Mo at the end of the floor panel 2 is assumed to be Mo. The difference between the maximum and minimum values ​​of the bending moment Mo of the floor panel 2 is assumed to be L / 8. The bending moment M at a given distance x is expressed as "M = kx" shown in Figure 8. 2 + a", where x is the distance along the longitudinal direction of the floor panel 2. Equation (3) is derived based on the relationship shown in Figure 8.

[0081]

number

[0082] The bending moment Mo in equation (4) can be derived by solving the following equation (5): As shown in equation (5), the bending moment Mo is equal to the sum of the rotation angle of a beam simply supported at both ends when a uniformly distributed load is applied and the rotation angle of a beam simply supported at both ends when both ends are uniformly bent, multiplied by the panel end rotational spring stiffness coefficient Kr.

[0083]

number

[0084] [First judgment step] The first determination step will be described with reference to Fig. 9. In Fig. 9, the circle marked with fmin corresponds to the minimum first-order natural frequency fmin.

[0085] The first determination step is included in the first sub-step of the preceding step and corresponds to the fourth step S4 in the flowchart.

[0086] In the first determination step, the calculation unit 8 determines whether the minimum first-order natural frequency fmin is equal to or greater than the first set value S1. As described above, the first set value S1 is set to be higher than the lowest practical frequency.

[0087] The minimum first-order natural frequency fmin is the minimum value of the first-order natural frequency of the floor panel 2 under conditions in which the floor panel 2 is most likely to vibrate in the first model floor 1. Therefore, it is assumed that the actual vibration frequency of the floor panel 2 will be greater than the minimum first-order natural frequency fmin. For this reason, the first determination step is determined as follows:

[0088] In the first determination step, if the minimum first-order natural frequency fmin is equal to or greater than the first set value S1, the calculation unit 8 determines that the floor 1 satisfies the panel vibration standard. In the first determination step, if the minimum first-order natural frequency fmin is smaller than the first set value S1, the calculation unit 8 proceeds to the maximum value calculation step.

[0089] [Maximum value calculation process] The maximum value calculation step is included in the second sub-step of the preceding step and corresponds to the fifth step S5 in the flowchart.

[0090] In the maximum value calculation process, the vibration of the floor panel 2 is simulated under the condition that the constraint due to the connection is assumed to be infinite. A state in which the constraint due to the connection is infinite is a state in which the side ends of the floor panel 2 are indirectly fixed to the beam members 3. Under this condition, the floor panel 2 is most resistant to vibration because not only both ends of the floor panel 2 but also the side ends of the floor panel 2 are indirectly fixed to the beam members 3. Here, as mentioned above, "less resistant to vibration" means less resistant to vibration at low frequencies. Under this condition, the vibration frequency of the floor panel 2 can be estimated at the highest value.

[0091] In the maximum value calculation process, if the minimum primary natural frequency fmin is smaller than the first set value S1, the calculation unit 8 calculates the maximum primary natural frequency fmax, which is the maximum value of the primary natural frequency of the floor panel 2, based on the second model in which the frequency of the floor panel 2 is estimated to be high.

[0092] FIG. 10 is a schematic diagram of the second model. The second model is a model in which the vibration frequency of the floor panel 2 is estimated to be high. Specifically, the second model represents a state of the floor panel 2 in which the constraint due to the connection is infinite. In this state, the side ends of the floor panel 2 are considered to be indirectly fixed to the beam member 3. Therefore, the central floor panel 2 is supported at both ends and indirectly at the side ends, so it can be considered to be a panel that is essentially supported on three sides. However, support at the side ends contributes less to the load burden than support at both ends. Therefore, the first natural frequency of the floor panel 2 can be easily derived from the formula for the first natural frequency of a beam supported on two sides.

[0093] In this embodiment, the calculation unit 8 calculates the converted mass of the floor panel 2 in the second model based on the two-side support stiffness coefficient K2 and the three-side support differential stiffness coefficient K3. The two-side support stiffness coefficient K2 is a coefficient related to the stiffness of the floor panel 2 supported on two sides. The three-side support differential stiffness coefficient K3 is a coefficient related to the stiffness of the floor panel 2 supported on three sides.

[0094] In the formulas shown below, the symbols are defined as follows: K2 indicates the two-side support stiffness coefficient K2. K3 indicates the three-side support differential stiffness coefficient K3.

[0095] The calculation unit 8 calculates the maximum first-order natural frequency fmax based on the effective length Le and the reduced mass of the floor panel 2. In this embodiment, the maximum first-order natural frequency fmax is derived based on the formula for the first-order natural frequency of a beam supported on two sides and the reduced mass.

[0096] Specifically, the maximum primary natural frequency fmax can be calculated by the following equations (6) and (7).

[0097]

number

[0098] Here, M(nK2 / (nK2+2K3)) indicates the converted mass of the floor panel 2. (nK2 / (nK2+2K3)) is the mass conversion coefficient. The mass conversion coefficient can be defined as the ratio of the sum of the stiffness coefficients of the entire floor panel 2 (nK2+2K3) to the value (nK2) obtained by subtracting the two three-side support differential stiffness coefficients K3 from the sum of the stiffness coefficients of the entire floor panel 2.

[0099] In equation (6) for calculating the maximum primary natural frequency fmax, the two-side support stiffness coefficient K2 can be calculated using equation (7).

[0100]

number

[0101] Equation (7) can be defined as the reciprocal (1 / Dc) of the deflection Dc. As shown in equation (8), the deflection Dc can be calculated as the sum of the deflection of a simply supported beam at both ends when a uniformly distributed load is applied to a two-sided supported floor panel 2, and the deflection of a simply supported beam at both ends when both ends are uniformly bent. In equation (8), Mo is defined by the bending moment Mo in equation (4).

[0102]

number

[0103] In equation (6) for calculating the maximum primary natural frequency fmax, the three-side support differential stiffness coefficient K3 can be calculated using equation (9).

[0104]

number

[0105] In this embodiment, the three-side support differential stiffness coefficient K3 is defined as the value obtained by subtracting the two-side support contribution from the stiffness coefficient of the floor panel 2 supported on three sides. Note that K3 is not defined as a value equivalent to the stiffness of the floor panel 2 supported on three sides, but is defined as the value obtained by subtracting the two-side support contribution from the stiffness coefficient of the floor panel 2 supported on three sides, in order to simplify the equation (6). This definition of K3 allows the coefficient by which M is multiplied, i.e., (nK2 / (nK2+2K3)), to be written simply.

[0106] Equation (9) is derived based on a simple mathematical model and vibration tests of the floor panel 2. In equation (9), the two terms in the parentheses of the MAX function take negative values. When L<2B, the second term becomes negative. For this reason, equation (9) is configured so that the MAX function selects the larger of the first term in the parentheses of MAX, which is "0," and the second term, so that K3 does not become negative. According to equation (9), when L=2B or L<2B, K3 becomes "0." In other words, when the width B of the floor panel 2 is equal to or greater than L / 2, the contribution of the support of the third side of the three-side support to the rigidity of the floor panel 2 becomes "0."

[0107] [Second judgment step] The second determination step will be described with reference to Fig. 11. In Fig. 11, the circle marked with fmax corresponds to the maximum first-order natural frequency fmax.

[0108] The second determination step is included in the second sub-step of the preceding step and corresponds to the sixth step S6 in the flowchart.

[0109] In the second determination step, the calculation unit 8 determines whether the maximum primary natural frequency fmax is equal to or greater than the second set value S2. As described above, the second set value S2 is smaller than the first set value S1.

[0110] The maximum first-order natural frequency fmax is the maximum value of the first-order natural frequency of the floor panel 2 under conditions in which the floor panel 2 is least likely to vibrate in the second model floor 1. Therefore, it is assumed that the actual vibration frequency of the floor panel 2 will be smaller than the maximum first-order natural frequency fmax. For this reason, the second determination step is determined as follows:

[0111] If the maximum first-order natural frequency fmax is smaller than the second set value S2, the calculation unit 8 determines that the floor panel parameters of the floor panel 2 need to be reset. Specifically, the calculation unit 8 proceeds to a parameter setting process. Furthermore, when proceeding to the parameter setting process, the calculation unit 8 outputs a message urging the user to change the floor panel parameters. The message includes content urging the user to adjust the floor panel parameters so that the maximum first-order natural frequency fmax becomes larger.

[0112] If the maximum primary natural frequency fmax is equal to or greater than the second set value S2, the calculation unit 8 executes the estimated natural value calculation step.

[0113] [Estimated eigenvalue calculation process] In the estimated eigenvalue calculation process, the vibration of the floor panel 2 is simulated under conditions that take into account the connecting structure. When there is constraint from the connecting structure, multiple floor panels 2 are continuously connected by shear springs between the floor panels 2. In the third model under these conditions, the state in which multiple floor panels 2 are continuously connected by shear springs is reproduced, so the value calculated by the simulation is close to the actual first-order natural frequency.

[0114] FIG. 12 is a schematic diagram of the third model. The third model is a model in which the vibration frequency of the floor panel 2 is estimated to be close to the actual first natural frequency. In the third model, the first natural frequency is considered to be correlated with the load bearing rate RF. The fact that the first natural frequency is correlated with the load bearing rate RF is confirmed by testing. Specifically, the first natural frequency is related to the load bearing rate RF by a relational expression (see Figure 14). Therefore, by setting the load bearing rate RF of the floor panel 2, the first natural frequency of the floor panel 2 can be estimated from the relational expression. The estimated natural value calculation process will be described below.

[0115] The estimated eigenvalue calculation step includes a burden rate calculation step and an estimated primary eigenvalue calculation step. Each step will be described below.

[0116] [Contribution rate calculation process] The burden rate calculation process will be described. The burden rate calculation step is included in the above-mentioned subsequent steps and corresponds to the seventh step S7 to the ninth step S9 in the flowchart.

[0117] The load bearing rate calculation step calculates the load bearing rate RF of the floor panel 2. The load bearing rate RF is used to calculate an estimated first-order natural frequency fx, which will be described later.

[0118] As described above, the burden rate calculation step includes a linkage information setting step, a provisional value calculation step, and a burden rate determination step. Each step will be described below.

[0119] [Consolidation information setting process] The link information setting step is included in the subsequent steps described above and corresponds to the seventh step S7 in the flowchart.

[0120] In the connection information setting step, the calculation unit 8 sets connection parameters related to the connection structure between the floor panels 2. The connection parameters are used to calculate the load bearing rate RF. An example of the connection parameter is the shear spring stiffness coefficient K1 between two adjacent floor panels 2.

[0121] The shear spring stiffness coefficient K1 varies depending on the number and pitch of the fixing screws 5A that fix the underfloor material 5 to the floor panel 2. The shear spring stiffness coefficient K1 also varies depending on the distance of the fixing screws 5A from the edge of the floor panel 2 (hereinafter referred to as the fixing screw distance). It also varies depending on the material and thickness of the underfloor material 5.

[0122] The shear spring stiffness coefficient K1 is set by testing or theoretical estimation using the number of fixing screws 5A, the pitch of the fixing screws 5A, the fixing screw distance, the material of the subfloor material 5, and the thickness of the subfloor material 5 as parameters.

[0123] The shear spring stiffness coefficient K1 may be expressed as a function of the number of fixing screws 5A, the pitch of the fixing screws 5A, the fixing screw distance, the material of the underfloor material 5, and the thickness of the underfloor material 5. The shear spring stiffness coefficient K1 may be related to parameters consisting of the number of fixing screws 5A, the pitch of the fixing screws 5A, the fixing screw distance, the material of the underfloor material 5, and the thickness of the underfloor material 5.

[0124] [Provisional value calculation process] The provisional value calculation step is included in the subsequent steps described above and corresponds to the eighth step S8 in the flowchart.

[0125] In the provisional value calculation step, the calculation unit 8 calculates a provisional value of the load bearing rate RF based on the link parameter. In this embodiment, the link parameter is the shear spring stiffness coefficient K1.

[0126] The load bearing ratio RF indicates the proportion of the load that the central floor panel 2, which is the central floor panel 2 among the multiple floor panels 2 that make up the floor 1, supports by itself out of the load applied to the central floor panel 2. Part of the load applied to the central floor panel 2 is transmitted to the other floor panels 2 and also to the beam members 3 through the connecting structure of the floor 1 and the support structure of the floor 1 by the beam members 3. In other words, the load applied to the central floor panel 2 is dispersed. Therefore, the self-bearing load F0 that the central floor panel 2 itself bears is smaller than the load applied to the central floor panel 2.

[0127] FIG. 13 shows a model for calculating the load bearing rate RF. The model shown in FIG. 13 is an example of a floor 1 having an odd number of floor panels 2. Equation (12) for calculating the load bearing rate RF can be derived by solving equation (10), equation (11) expressed as a series equation, and the initial condition of the series. The initial condition of the series is that the value of the i=1th overall spring stiffness coefficient Zi is equal to K3. In other words, the initial condition is Z1=K3.

[0128] Equation (10) shows the load bearing rate RF of the central floor panel 2A. Z shows the overall spring stiffness coefficient Z of the springs that combine multiple springs. The central floor panel 2A is connected to the other floor panels 2 at both ends. Therefore, the central floor panel 2A is related to its own two-side support stiffness coefficient K2 and two overall spring stiffness coefficients Z.

[0129] The i in equation (11) indicates the ith floor panel 2, where the floor panel 2 closest to the beam member 3 among the multiple floor panels 2 is numbered 1. The overall spring stiffness coefficient Zi indicates the overall spring stiffness coefficient of the springs combined from the first to the ith springs. The overall spring stiffness coefficient Zi-1 indicates the overall spring stiffness coefficient of the springs combined from the first to the (i-1)th springs. Equation (11) shows the relationship between the overall spring stiffness coefficient Zi and the overall spring stiffness coefficient Zi-1. Equation (11) is derived using a model in which the ith floor panel 2 is considered to be supported by the first and second springs arranged in parallel. The first spring is a shear spring connecting the ith and (i+1)th floor panels. The second spring is considered to be an overall spring that combines the springs acting on the floor panels 2 connected continuously from the first to the (i-1)th.

[0130]

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[0131]

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[0132] The self-pay rate RF can be calculated using equations (12) to (21).

[0133]

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[0134]

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[0135]

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[0136]

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[0137]

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[0138]

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[0139]

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[0140]

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[0141] Equation (19) can be defined as the reciprocal (1 / Dc) of the deflection Dc. As shown in equation (20), the deflection Dc can be calculated as the sum of the deflection of a beam simply supported at both ends when a concentrated load is applied and the deflection of a beam simply supported at both ends when both ends are uniformly bent. In equation (20), Mo is defined by the bending moment Mo in equation (4).

[0142]

number

[0143]

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[0144] In this embodiment, the three-side support differential stiffness coefficient K3 indicates a value obtained by subtracting the two-side support contribution from the stiffness coefficient of the floor panel 2 supported on three sides. Equation (21) is derived based on a simple mathematical model and vibration tests of the floor panel 2.

[0145] [Contribution rate determination process] The burden rate determination step is included in the above-mentioned subsequent steps and corresponds to the ninth step S9 in the flowchart.

[0146] In the burden rate determination step, the calculation unit 8 determines whether the provisional value of the burden rate RF is equal to or less than the burden rate setting value. The burden rate setting value is set in advance in the initial setting step. The provisional value of the burden rate RF is a value calculated using equation (12).

[0147] In the burden rate determination step, if the provisional value of the burden rate RF is equal to or less than the burden rate setting value, the calculation unit 8 sets the provisional value as the burden rate RF.

[0148] Furthermore, in the burden rate determination step, if the provisional value of the burden rate RF is greater than the burden rate setting value, the calculation unit 8 determines that the linking parameters need to be reset. Specifically, the calculation unit 8 proceeds to the link information setting step. Furthermore, when proceeding to the link information setting step, the calculation unit 8 outputs a message urging the user to change the linking parameters. The message includes content urging the user to adjust the linking parameters so that the burden rate RF becomes smaller.

[0149] [Estimated primary eigenvalue calculation process] The estimated primary eigenvalue calculation step is included in the subsequent steps described above and corresponds to tenth step S10 in the flowchart.

[0150] In the estimated primary natural value calculation process, the calculation unit 8 calculates the estimated primary natural frequency fx as the primary natural frequency of the floor panel 2 based on the relationship information indicating the relationship between the load self-burden rate RF and the primary natural frequency and the load self-burden rate RF of the floor panel 2.

[0151] [Related information] An example of the relational information is a relational expression. The relational expression is defined as an equation passing through a first point P1 and a second point P2 in a coordinate system whose axes are the natural frequency and the load bearing rate RF. The first point P1 is a point where the natural frequency is the minimum first-order natural frequency fmin and the load bearing rate RF is 1 in the coordinate system whose axes are the natural frequency and the load bearing rate RF. The second point P2 is a point where the natural frequency is the maximum first-order natural frequency fmax and the load bearing rate RF is the minimum value RFmin in the coordinate system whose axes are the natural frequency and the load bearing rate RF. The minimum value RFmin of the load bearing rate RF can be defined as the load bearing rate RF of the floor panel 2 in the secondary model that was used as the basis for calculating the maximum first-order natural frequency fmax.

[0152] 14, the relational expression is a linear function passing through the first point P1 and the second point P2. The relational expression may be a quadratic function passing through the first point P1 and the second point P2 and in which the load bearing ratio RF monotonically decreases as the natural frequency increases. The relational expression may be an exponential function passing through the first point P1 and the second point P2 and in which the load bearing ratio RF monotonically decreases as the natural frequency increases.

[0153] The estimated primary natural frequency fx can be derived from such a relational expression. Specifically, the calculation unit 8 derives the estimated primary natural frequency fx by substituting the load self-burden rate RFx calculated in the burden rate calculation step into the relational expression. The estimated primary natural frequency fx is a value that is greater than the minimum primary natural frequency fmin and smaller than the maximum primary natural frequency fmax.

[0154] [Third judgment step] The third determination step will be described with reference to Fig. 15. In Fig. 15, the mark marked with fx corresponds to the estimated first-order natural frequency fx.

[0155] The third determination step is included in the above-mentioned subsequent steps and corresponds to the eleventh step S11 in the flowchart.

[0156] In the third determination step, the calculation unit 8 determines whether the estimated primary natural frequency fx is equal to or greater than the third set value S3. As described above, the third set value S3 is smaller than the first set value S1. In this embodiment, the third set value S3 is equal to the second set value S2.

[0157] The estimated first natural frequency fx is an estimated value of the first natural frequency of the floor panel 2 in the third model in which the connecting structure of the floor panel 2 is taken into account.

[0158] In the third determination step, if the estimated first-order natural frequency fx is equal to or greater than a third set value S3, the calculation unit 8 determines that the design of the floor panel 2 satisfies the panel vibration standard.

[0159] In the third determination step, if the estimated primary natural frequency fx is smaller than the third set value S3, the calculation unit 8 determines that the linking parameters need to be reset. Specifically, the calculation unit 8 proceeds to a linking information setting step. Furthermore, when proceeding to the linking information setting step, the calculation unit 8 outputs a message urging the user to change the linking parameters. The message includes content urging the user to adjust the linking parameters so that the estimated primary natural frequency fx becomes larger.

[0160] [Operation of this embodiment] The calculation unit 8 calculates the estimated first natural frequency fx, which makes it possible to estimate the vibration of the floor panel 2.

[0161] If the minimum first-order natural frequency fmin is equal to or greater than the first set value S1, the calculation unit 8 determines that the floor 1 satisfies the panel vibration standard. If the minimum first-order natural frequency fmin is smaller than the first set value S1, the calculation unit 8 calculates the maximum first-order natural frequency fmax. Then, if the minimum first-order natural frequency fmin is smaller than the first set value S1 and the maximum first-order natural frequency fmax is equal to or greater than the second set value S2, the calculation unit 8 calculates the estimated first-order natural frequency fx. If the estimated first-order natural frequency fx is equal to or greater than the third set value S3, the calculation unit 8 determines that the design of the floor panel 2 satisfies the panel vibration standard. By following this order of steps, the frequency of calculation of the estimated first-order natural frequency fx can be reduced, thereby shortening the calculation time.

[0162] If the minimum first-order natural frequency fmin is smaller than the first set value S1 and if the maximum first-order natural frequency fmax is smaller than the second set value S2, the calculation unit 8 determines that it is necessary to reset the floor panel parameters of the floor panel 2. This determination is made before calculating the estimated first-order natural frequency fx. This allows the floor panel parameters to be reset in the previous process, thereby improving the efficiency of the design of the floor 1.

[0163] The calculation unit 8 calculates the estimated first natural frequency fx when the minimum first natural frequency fmin is smaller than the first set value S1 and when the maximum first natural frequency fmax is equal to or greater than the second set value S2. Then, when the estimated first natural frequency fx is smaller than the third set value S3, the calculation unit 8 determines that the connection parameters need to be reset. This allows the connection parameters to be reset after the floor panel parameters have been reset, thereby improving the efficiency of designing the floor 1.

[0164] [Effects of this embodiment] The effects of this embodiment will be described. (1) In the floor design method, in the minimum value calculation step, the minimum first-order natural frequency fmin, which is the minimum value, is calculated based on the first model. In the maximum value calculation step, if the minimum first-order natural frequency fmin is smaller than the first set value S1, the maximum first-order natural frequency fmax is calculated based on the second model. In the estimated natural value calculation step, if the maximum first-order natural frequency fmax is equal to or greater than the second set value S2, the estimated first-order natural frequency fx is calculated as the first-order natural frequency of the floor panel 2. Then, in the third determination step, if the estimated first-order natural frequency fx is equal to or greater than the third set value S3, the calculation unit 8 determines that the design of the floor panel 2 satisfies the panel vibration standard.

[0165] According to this configuration, in a floor 1 in which a plurality of floor panels 2 are surrounded by beam members 3, the floor panels 2 can be designed while evaluating vibrations.

[0166] (2) In the first determination step, if the minimum first-order natural frequency fmin is equal to or greater than the first set value S1, the calculation unit 8 determines that the floor 1 satisfies the panel vibration standard. With this configuration, it is possible to determine whether the design of the floor panel 2 is appropriate.

[0167] (3) In the second determination step, if the maximum primary natural frequency fmax is smaller than the second set value S2, the calculation unit 8 determines that it is necessary to reset the floor panel parameters of the floor panel 2. According to this configuration, it is possible to determine whether it is necessary to reset the floor panel parameters of the floor panel 2.

[0168] (4) The floor design method may further include a burden rate calculation step of calculating a load bearing rate RF of the floor panel 2. In a connection information setting step in the burden rate calculation step, connection parameters related to the connection structure between the floor panels 2 are set. In a provisional value calculation step, the calculation unit 8 calculates a provisional value of the load bearing rate RF based on the connection parameters. In a burden rate determination step, the calculation unit 8 determines whether the provisional value of the load bearing rate RF is equal to or less than the burden rate setting value. Then, if the provisional value of the load bearing rate RF is equal to or less than the burden rate setting value, the calculation unit 8 sets the provisional value to the load bearing rate RF. According to this configuration, the load bearing rate RF can be set to a value equal to or less than the burden rate setting value. This makes it possible to prevent the estimated primary natural frequency fx calculated using the load bearing rate RF from becoming a low value.

[0169] (5) In the burden rate determination step, if the provisional value of the load self-bearing rate RF is greater than the burden rate setting value, the calculation unit 8 determines that the connection parameters need to be reset. According to this configuration, in the burden rate determination step, it can be determined whether or not the connection parameters between the floor panels 2 need to be reset.

[0170] (6) In the third determination step, if the estimated primary natural frequency fx is smaller than the third set value S3, the calculation unit 8 determines that the connection parameters need to be reset. According to this configuration, in the third determination step, it can be determined whether or not the connection parameters between the floor panels 2 need to be reset.

[0171] (7) The floor panel parameters include the Young's modulus, the second moment of area, the length L of the floor panel 2, the mass of the floor panel 2, and the panel end rotational spring stiffness coefficient Kr of the floor panel 2. According to this configuration, the floor panel 2 can be redesigned based on these floor panel parameters.

[0172] (8) The calculation unit 8 calculates the effective length Le of the floor panel 2 based on the Young's modulus, the moment of inertia of area, the length L of the floor panel 2, and the panel end rotational spring stiffness coefficient Kr of the floor panel 2. Then, the calculation unit 8 calculates the minimum first-order natural frequency fmin based on the effective length Le of the floor panel 2. With this configuration, the minimum first-order natural frequency fmin can be calculated based on these parameters.

[0173] (9) The calculation unit 8 calculates the converted mass of the floor panel 2 in the second model based on the two-side support stiffness coefficient K2 and the three-side support differential stiffness coefficient K3. Then, the calculation unit 8 calculates the maximum first-order natural frequency fmax based on the effective length Le and the converted mass of the floor panel 2. With this configuration, the maximum first-order natural frequency fmax can be calculated based on these parameters.

[0174] The relational expression (10) is an equation that passes through the first point P1 and the second point P2 in a coordinate system whose axes are the natural frequency and the load bearing rate RF. The first point P1 is the point where the natural frequency is the minimum first-order natural frequency fmin and the load bearing rate RF is 1. The second point P2 is the point where the natural frequency is the maximum first-order natural frequency fmax and the load bearing rate RF is the minimum value. This configuration makes it possible to easily construct the relational expression.

[0175] (11) The connection parameter is the shear spring stiffness coefficient K1 between two adjacent floor panels 2. With this configuration, the connection parameter can be replaced with a single coefficient. This allows the linkage effect of floor 1 vibration between adjacent floor panels 2 to be reflected, and also simplifies the calculations performed by the calculation unit 8.

[0176] Second Embodiment A floor design system 30 of this embodiment will be described. In the description of this embodiment, the same components as those in the first embodiment will be denoted by the same reference numerals, and the description thereof will be omitted. The floor design system 30 substantially corresponds to the calculation unit 8 (see FIG. 1) of the first embodiment.

[0177] The floor design system 30 designs the floor 1 having a plurality of floor panels 2 connected to each other and beam members 3 arranged so as to surround the periphery of the plurality of floor panels 2.

[0178] The floor design system 30 includes a minimum value calculation unit 11, a first determination unit 12, a maximum value calculation unit 13, a second determination unit 14, an estimated eigenvalue calculation unit 15, and a third determination unit 16.

[0179] The minimum value calculation unit 11 calculates the minimum first-order natural frequency fmin, which is the minimum value of the first-order natural frequency of the floor panel 2, based on the first model in which the frequency of the floor panel 2 is estimated to be low. The specific execution contents performed by the minimum value calculation unit 11 are substantially the same as those in the minimum value calculation step.

[0180] The first determination unit 12 determines whether the minimum first-order natural frequency fmin is equal to or greater than the first set value S1. The specific execution contents performed by the first determination unit 12 are substantially the same as those in the first determination step.

[0181] When the minimum primary natural frequency fmin is smaller than the first set value S1, the maximum value calculation unit 13 calculates the maximum primary natural frequency fmax, which is the maximum value of the primary natural frequency of the floor panel 2, based on the second model that overestimates the frequency of the floor panel 2. The specific execution contents performed by the maximum value calculation unit 13 are substantially the same as those in the maximum value calculation step.

[0182] The second determination unit 14 determines whether the maximum primary natural frequency fmax is equal to or greater than the second set value S2. The specific execution contents performed by the second determination unit 14 are substantially the same as those in the second determination step.

[0183] When the maximum primary natural frequency fmax is equal to or greater than the second set value S2, the estimated natural value calculation unit 15 calculates the estimated primary natural frequency fx as the primary natural frequency of the floor panel 2 based on the relationship information indicating the relationship between the load bearing rate RF and the primary natural frequency and the load bearing rate RF of the floor panel 2. The specific execution contents performed by the estimated natural value calculation unit 15 are substantially the same as those in the estimated natural value calculation step.

[0184] The third determination unit 16 determines whether the estimated primary natural frequency fx is equal to or greater than a third set value S3, and if the estimated primary natural frequency fx is equal to or greater than the third set value S3, determines that the design of the floor panel 2 satisfies the panel vibration standard. The specific execution contents performed by the third determination unit 16 are substantially the same as those in the third determination step.

[0185] According to the floor design system 30, in a floor 1 in which a plurality of floor panels 2 are surrounded by beam members 3, the floor panels 2 can be designed while evaluating vibrations.

[0186] Third Embodiment The floor design program of this embodiment will be described. In the description of this embodiment, the same components as those in the first embodiment will be given the same reference numerals, and the description thereof will be omitted.

[0187] The floor design program causes a computer to design a floor 1 that includes a plurality of floor panels 2 connected to one another and beam members 3 that are arranged to surround the periphery of the plurality of floor panels 2.

[0188] The floor design program is executed by a computer. The computer may be any device capable of executing the floor design program. The computer may be a personal computer or a general-purpose computer.

[0189] The floor design program includes a minimum value calculation step, a first determination step, a maximum value calculation step, a second determination step, an estimated eigenvalue calculation step, and a third determination step.

[0190] In the minimum value calculation step, the floor design program causes the computer to calculate the minimum first-order natural frequency fmin, which is the minimum value of the first-order natural frequency of the floor panel 2, based on the first model in which the frequency of the floor panel 2 is underestimated. The specific execution contents performed in the minimum value calculation step are substantially the same as those in the minimum value calculation process.

[0191] In the first determination step, the floor design program causes the computer to determine whether the minimum first-order natural frequency fmin is equal to or greater than a first set value S1. The specific execution contents performed in the first determination step are substantially the same as those in the first determination process.

[0192] In the maximum value calculation step, if the minimum primary natural frequency fmin is smaller than the first set value S1, the floor design program causes the computer to calculate the maximum primary natural frequency fmax, which is the maximum value of the primary natural frequency of the floor panel 2, based on the second model that overestimates the frequency of the floor panel 2. The specific execution contents performed in the maximum value calculation step are substantially the same as those in the maximum value calculation process.

[0193] In the second determination step, the floor design program causes the computer to determine whether the maximum first-order natural frequency fmax is equal to or greater than the second set value S2. The specific execution contents performed in the second determination step are substantially the same as those in the second determination process.

[0194] In the estimated eigenvalue calculation step, when the maximum primary natural frequency fmax is equal to or greater than the second set value S2, the floor design program causes the computer to calculate an estimated primary natural frequency fx as the primary natural frequency of the floor panel 2 based on the relationship information indicating the relationship between the load bearing rate RF and the primary natural frequency and the load bearing rate RF of the floor panel 2. The specific execution contents performed in the estimated eigenvalue calculation step are substantially the same as those in the estimated eigenvalue calculation process.

[0195] In the third determination step, the floor design program causes the computer to determine whether the estimated first-order natural frequency fx is equal to or greater than a third set value S3, and if the estimated first-order natural frequency fx is equal to or greater than the third set value S3, determines that the design of the floor panel 2 satisfies the panel vibration standard. The specific execution contents performed in the third determination step are substantially the same as those in the third determination process.

[0196] According to the floor design program, in a floor 1 in which a plurality of floor panels 2 are surrounded by beam members 3, it is possible to have a computer design the floor panels 2 while evaluating vibrations.

[0197] <Modification> The above-described embodiments are examples of forms that the floor design system 30, floor design method, and floor design program can take, and are not intended to limit the forms. The floor design system 30, floor design method, and floor design program can take forms different from those exemplified in the above-described embodiments. Examples of such forms include forms in which part of the configuration of the embodiments is replaced, modified, or omitted, or forms in which new configurations are added to the embodiments. Modified examples of the embodiments are shown below.

[0198] In the embodiment, a floor design method for a floor 1 having multiple floor panels 2 connected to each other was described. Here, a floor design method for a single floor panel 2 (hereinafter, a modified floor design method) will be described. In the case of a single floor panel 2, since it is not necessary to consider the connecting structure, the subsequent steps are omitted in the modified floor design method. Specifically, the modified floor design method includes the minimum value calculation step shown in the embodiment, a first determination step, a maximum value calculation step, and a second determination step. In the first determination step, if the minimum first-order natural frequency fmin is equal to or greater than the first set value S1, the calculation unit 8 determines that the floor 1 satisfies the panel vibration standard. In the second determination step, if the maximum first-order natural frequency fmax is smaller than the second set value S2, the calculation unit 8 determines that the floor panel parameters of the floor panel 2 need to be reset. With this configuration, for a floor 1 in which one floor panel 2 is surrounded by beam members 3, the floor panel 2 can be designed while evaluating vibrations.

[0199] In the embodiment, an example of calculating the load bearing rate RF in a model with an odd number of floor panels 2 has been described. The same concept can be used to derive the load bearing rate RF in a model with an even number of floor panels 2. Below, an example of calculating the load bearing rate RF in a model with an even number of floor panels 2 will be described.

[0200] FIG. 16 shows a model for calculating the load bearing rate RF. The model shown in FIG. 16 has an even number of floor panels 2. Equation (24) for calculating the load bearing rate RF can be derived by solving equation (22), equation (23) expressed as a series equation, and the initial condition of the series. The initial condition of the series is that the value of the i=1th overall spring stiffness coefficient Zi is equal to K3. In other words, the initial condition is Z1=K3.

[0201] Equation (22) shows the load bearing rate RF of one of the two central floor panels 2A located in the center. Z shows the overall spring stiffness coefficient Z of the spring that combines multiple springs. One of the central floor panels 2A is connected to the other floor panels 2 at both ends. Therefore, one of the central floor panels 2A is related to its own two-side support stiffness coefficient K2 and two overall spring stiffness coefficients Z. Equation (23) is the same as equation (11) in the embodiment.

[0202]

number

[0203]

number

[0204] The self-pay rate RF can be calculated using equation (24).

[0205]

number

[0206] Here, a can be defined by the same formula as equation (13). b can be defined by the same formula as equation (14). C1 can be defined by the same formula as equation (15). C2 can be defined by the same formula as equation (16). C3 can be defined by the same formula as equation (17). C4 can be defined by the same formula as equation (18). K2 included in equations (13) to (18) can be defined by the same formula as equation (19). K3 included in equations (13) to (18) can be defined by the same formula as equation (21).

[0207] This specification discloses the following techniques: [Appendix 1] Supplementary Note 1 is a floor design method. The floor design method is a method executed by a calculation unit for a floor including a plurality of floor panels connected to each other and beam members arranged to surround the periphery of the plurality of floor panels. The floor design method includes a minimum value calculation step, a first determination step, a maximum value calculation step, a second determination step, an estimated eigenvalue calculation step, and a third determination step. In the minimum value calculation step, the calculation unit calculates a minimum first-order natural frequency, which is the minimum value of the first-order natural frequency of the floor panel, based on a first model in which the vibration frequency of the floor panel is estimated to be low. In the first determination step, the calculation unit determines whether or not the minimum first-order natural frequency is equal to or greater than a first set value. In the maximum value calculation process, if the minimum primary natural frequency is smaller than the first set value, the calculation unit calculates the maximum primary natural frequency, which is the maximum value of the primary natural frequency of the floor panel, based on a second model in which the frequency of the floor panel is estimated to be high. In the second determination step, the calculation unit determines whether or not the maximum primary natural frequency is equal to or greater than a second set value that is set to a value smaller than the first set value. In the estimated natural value calculation process, if the maximum primary natural frequency is equal to or greater than the second set value, the calculation unit calculates an estimated primary natural frequency as the primary natural frequency of the floor panel based on relationship information indicating the relationship between the load self-burden rate and the primary natural frequency and the load self-burden rate of the floor panel. In the third judgment step, the calculation unit judges whether the estimated first-order natural frequency is equal to or greater than a third set value that is smaller than the first set value, and if the estimated first-order natural frequency is equal to or greater than the third set value, judges that the design of the floor panel satisfies the panel vibration standard.

[0208] [Appendix 2] Supplementary Note 2 is the floor design method described in Supplementary Note 1, wherein in the first determination step, if the minimum first-order natural frequency is equal to or greater than the first set value, the calculation unit determines that the floor satisfies the panel vibration standard.

[0209] [Appendix 3] Supplementary Note 3 is a floor design method according to Supplementary Note 1, wherein in the second determination step, if the maximum first-order natural frequency is smaller than the second set value, the calculation unit determines that the floor panel parameters of the floor panel need to be reset.

[0210] [Appendix 4] Supplementary note 4 is the floor design method according to Supplementary note 1, further comprising a load bearing rate calculation step of calculating the load bearing rate of the floor panel. The burden rate calculation process includes a connection information setting process in which connection parameters related to the connection structure between the floor panels are set; a provisional value calculation process in which the calculation unit calculates a provisional value of the load self-pay rate based on the connection parameters; and a burden rate determination process in which the calculation unit determines whether the provisional value of the load self-pay rate is equal to or less than a burden rate setting value, and if the provisional value of the load self-pay rate is equal to or less than the burden rate setting value, sets the provisional value of the load self-pay rate to the load self-pay rate.

[0211] [Appendix 5] Supplementary note 5 is a floor design method according to Supplementary note 4, wherein in the burden rate determination step, if the provisional value of the load self-burden rate is greater than the burden rate setting value, the calculation unit determines that the connection parameters need to be reset.

[0212] [Appendix 6] Supplementary note 6 is the floor design method according to Supplementary note 5, wherein in the third determination step, if the estimated first-order natural frequency is smaller than the third set value, the calculation unit determines that the connection parameters need to be reset.

[0213] [Appendix 7] Supplementary Note 7 is a floor design method according to Supplementary Note 3, wherein the floor panel parameters include the Young's modulus of the floor panel, the second moment of area of ​​the floor panel, the length of the floor panel, the mass of the floor panel including the finish and live load, and a panel end rotation spring stiffness coefficient indicating the stiffness spring coefficient related to rotation at the end of the floor panel.

[0214] [Appendix 8] Appendix 8 is a floor design method described in Appendix 1, wherein the calculation unit calculates the effective length of the floor panel based on the Young's modulus of the floor panel, the second moment of area of ​​the floor panel, the length of the floor panel, and a panel end rotational spring stiffness coefficient indicating stiffness related to rotation at the end of the floor panel, and calculates the minimum first-order natural frequency based on the effective length of the floor panel.

[0215] [Appendix 9] Supplementary Note 9 is a floor design method according to Supplementary Note 1, wherein the calculation unit calculates the converted mass of the floor panel in the second model based on a two-side support stiffness coefficient related to the stiffness of the floor panel supported on two sides and a three-side support differential stiffness coefficient related to the stiffness of the floor panel supported on three sides, and calculates the maximum first-order natural frequency based on the effective length of the floor panel and the converted mass.

[0216] [Appendix 10] Supplementary Note 10 relates to the floor design method according to Supplementary Note 1, wherein the relational information is a relational expression. The relational expression is an expression that passes through a first point where the natural frequency is the minimum first-order natural frequency and the load bearing rate is 1, and a second point where the natural frequency is the maximum first-order natural frequency and the load bearing rate is a minimum value, in a coordinate system with axes of the natural frequency and the load bearing rate.

[0217] [Appendix 11] Supplementary Note 11 is the floor design method according to Supplementary Note 4, wherein the connection parameter is a shear spring stiffness coefficient between two adjacent floor panels.

[0218] [Appendix 12] Appendix 12 is a floor design system. The floor design system is a system for designing a floor including a plurality of floor panels connected to each other and beam members arranged to surround the periphery of the plurality of floor panels. The floor design system includes a minimum value calculation unit, a first determination unit, a maximum value calculation unit, a second determination unit, an estimated eigenvalue calculation unit, and a third determination unit. The minimum value calculation unit calculates a minimum first-order natural frequency, which is the minimum value of the first-order natural frequency of the floor panel, based on a first model in which the frequency of the floor panel is estimated to be low. The first determination unit determines whether or not the minimum first-order natural frequency is equal to or greater than a first set value. When the minimum primary natural frequency is smaller than the first set value, the maximum value calculation unit calculates the maximum primary natural frequency, which is the maximum value of the primary natural frequency of the floor panel, based on a second model in which the frequency of the floor panel is estimated to be higher. The second determination unit determines whether the maximum primary natural frequency is equal to or greater than a second set value that is set to a value smaller than the first set value. When the maximum primary natural frequency is equal to or greater than the second set value, the estimated natural value calculation unit calculates an estimated primary natural frequency as the primary natural frequency of the floor panel based on relationship information indicating the relationship between the load self-burden rate and the primary natural frequency and the load self-burden rate of the floor panel. The third judgment unit judges whether the estimated first-order natural frequency is equal to or greater than a third set value that is smaller than the first set value, and if the estimated first-order natural frequency is equal to or greater than the third set value, judges that the design of the floor panel satisfies the panel vibration standard.

[0219] [Appendix 13] Appendix 13 is a floor design program that causes a computer to design a floor that includes a plurality of floor panels that are connected to one another and beam members that are arranged to surround the periphery of the plurality of floor panels. The floor design program includes a minimum value calculation step, a first determination step, a maximum value calculation step, a second determination step, an estimated eigenvalue calculation step, and a third determination step. In the minimum value calculation step, the floor design program causes the computer to calculate the minimum first-order natural frequency, which is the minimum value of the first-order natural frequency of the floor panel, based on a first model in which the vibration frequency of the floor panel is estimated to be low. In the first determination step, the floor design program causes the computer to determine whether or not the minimum first-order natural frequency is equal to or greater than a first set value. In the maximum value calculation step, the floor design program causes the computer to calculate the maximum first-order natural frequency, which is the maximum value of the first-order natural frequency of the floor panel, based on a second model in which the frequency of the floor panel is estimated to be high when the minimum first-order natural frequency is smaller than the first set value. In the second determination step, the floor design program causes the computer to determine whether or not the maximum first-order natural frequency is equal to or greater than a second set value that is set to a value smaller than the first set value. In the estimated natural value calculation step, when the maximum primary natural frequency is equal to or greater than the second set value, the floor design program causes the computer to calculate an estimated primary natural frequency as the primary natural frequency of the floor panel based on relationship information indicating the relationship between the load self-burden rate and the primary natural frequency and the load self-burden rate of the floor panel. In the third determination step, the floor design program causes the computer to determine whether the estimated first-order natural frequency is equal to or greater than a third set value that is smaller than the first set value, and if the estimated first-order natural frequency is equal to or greater than the third set value, determines that the design of the floor panel satisfies the panel vibration standard.

[0220] [Appendix 14] Supplementary note 14 is a floor design method. The floor design method is a method executed by a calculation unit for a floor including one floor panel and beam members arranged to surround the periphery of the floor panel. The floor design method includes a minimum value calculation step, a first determination step, a maximum value calculation step, and a second determination step. In the minimum value calculation step, the calculation unit calculates a minimum first-order natural frequency, which is the minimum value of the first-order natural frequency of the floor panel, based on a first model in which the vibration frequency of the floor panel is estimated to be low. In the first determination step, the calculation unit determines whether or not the minimum first-order natural frequency is equal to or greater than a first set value. In the maximum value calculation process, if the minimum primary natural frequency is smaller than the first set value, the calculation unit calculates the maximum primary natural frequency, which is the maximum value of the primary natural frequency of the floor panel, based on a second model in which the frequency of the floor panel is estimated to be high. In the second determination step, the calculation unit determines whether or not the maximum primary natural frequency is equal to or greater than a second set value that is set to a value smaller than the first set value. In the first determination step, if the minimum first-order natural frequency is equal to or greater than the first set value, the calculation unit determines that the floor satisfies the panel vibration standard. In the second determination step, when the maximum first-order natural frequency is smaller than the second set value, the calculation unit determines that the floor panel parameters of the floor panel need to be reset. [Explanation of symbols]

[0221] fx...estimated first natural frequency, K1...shear spring stiffness coefficient, K2...two-side support stiffness coefficient, K3...three-side support differential stiffness coefficient, Kr...panel end rotational spring stiffness coefficient, L...length, Le...actual length, RF...load self-bearing rate, S1...first set value, S2...second set value, S3...third set value, 1...floor, 2...floor panel, 3...beam member, 8...calculation unit, 11...minimum value calculation unit, 12...first judgment unit, 13...maximum value calculation unit, 14...second judgment unit, 15...estimated natural value calculation unit, 16...third judgment unit, 30...floor design system.

Claims

1. A floor design method executed by a calculation unit for a floor including a plurality of floor panels connected to each other and beam members arranged to surround the periphery of the plurality of floor panels, A minimum value calculation step in which the calculation unit calculates a minimum first-order natural frequency, which is the minimum value of the first-order natural frequency of the floor panel, based on a first model in which the vibration frequency of the floor panel is estimated to be low; a first determination step in which the calculation unit determines whether the minimum first-order natural frequency is equal to or greater than a first set value; When the minimum first-order natural frequency is smaller than the first set value, the calculation unit calculates a maximum first-order natural frequency, which is the maximum value of the first-order natural frequency of the floor panel, based on a second model in which the vibration frequency of the floor panel is estimated to be high. a second determination step in which the calculation unit determines whether the maximum first-order natural frequency is equal to or greater than a second set value that is set to a value smaller than the first set value; When the maximum primary natural frequency is equal to or greater than the second set value, the calculation unit calculates an estimated primary natural frequency as the primary natural frequency of the floor panel based on relationship information indicating the relationship between the load bearing rate and the primary natural frequency and the load bearing rate of the floor panel; and a third determination step in which the calculation unit determines whether the estimated first-order natural frequency is equal to or greater than a third set value that is smaller than the first set value, and determines that the design of the floor panel satisfies the panel vibration standard if the estimated first-order natural frequency is equal to or greater than the third set value. Floor design method.

2. In the first determination step, when the minimum first-order natural frequency is equal to or greater than the first set value, the calculation unit determines that the floor satisfies the panel vibration standard. The floor design method according to claim 1.

3. In the second determination step, when the maximum first-order natural vibration frequency is smaller than the second set value, the calculation unit determines that resetting of the floor panel parameters of the floor panel is necessary. The floor design method according to claim 1.

4. The floor panel further includes a load bearing rate calculation step of calculating the load bearing rate of the floor panel, The burden rate calculation step includes: a connection information setting step of setting connection parameters related to the connection structure between the floor panels; a provisional value calculation step in which the calculation unit calculates a provisional value of the copayment rate based on the connection parameters; a burden rate determination step in which the calculation unit determines whether the provisional value of the co-payment rate is equal to or less than a burden rate setting value, and if the provisional value of the co-payment rate is equal to or less than the burden rate setting value, sets the provisional value of the co-payment rate to the co-payment rate. The floor design method according to claim 1.

5. In the burden rate determination step, when the provisional value of the weight bearing rate is greater than the burden rate setting value, the calculation unit determines that the connection parameters need to be reset. The floor design method according to claim 4.

6. In the third determination step, when the estimated first natural frequency is smaller than the third set value, the calculation unit determines that the connection parameters need to be reset. The floor design method according to claim 5.

7. The floor panel parameters include the Young's modulus of the floor panel, the second moment of area of ​​the floor panel, the length of the floor panel, the mass of the floor panel including the finish and live load, and a panel end rotation spring stiffness coefficient indicating a stiffness spring coefficient related to rotation at the end of the floor panel. The floor design method according to claim 3.

8. The calculation unit Calculating the effective length of the floor panel based on the Young's modulus of the floor panel, the second moment of area of ​​the floor panel, the length of the floor panel, and a panel end rotation spring stiffness coefficient indicating stiffness related to rotation at the end of the floor panel; Calculating the minimum first natural frequency based on the effective length of the floor panel. The floor design method according to claim 1.

9. The calculation unit Calculating the converted mass of the floor panel in the second model based on a two-side support stiffness coefficient related to the stiffness of the floor panel supported on two sides and a three-side support differential stiffness coefficient related to the stiffness of the floor panel supported on three sides; Calculating the maximum first-order natural frequency based on the effective length of the floor panel and the reduced mass. The floor design method according to claim 1.

10. the relationship information is a relational expression, The above relation is: In the coordinate system with the natural frequency and the load bearing rate as axes, A first point in which the natural frequency is the minimum first-order natural frequency and the load bearing rate is 1; a second point at which the natural frequency is the maximum first-order natural frequency and the load bearing rate is the minimum value; The floor design method according to claim 1.

11. The connection parameter is a shear spring stiffness coefficient between two adjacent floor panels. The floor design method according to claim 4.

12. A floor design system for designing a floor including a plurality of floor panels connected to each other and beam members arranged to surround the periphery of the plurality of floor panels, A minimum value calculation unit that calculates a minimum first-order natural frequency, which is the minimum value of the first-order natural frequency of the floor panel, based on a first model in which the vibration frequency of the floor panel is estimated to be low; a first determination unit that determines whether the minimum first-order natural frequency is equal to or greater than a first set value; When the minimum primary natural frequency is smaller than the first set value, a maximum value calculation unit calculates a maximum primary natural frequency, which is the maximum value of the primary natural frequency of the floor panel, based on a second model in which the frequency of the floor panel is estimated to be high; a second determination unit that determines whether the maximum primary natural frequency is equal to or greater than a second set value that is set to a value smaller than the first set value; an estimated natural value calculation unit that calculates an estimated primary natural frequency as the primary natural frequency of the floor panel based on relationship information indicating the relationship between a load bearing rate and the primary natural frequency and the load bearing rate of the floor panel when the maximum primary natural frequency is equal to or greater than the second set value; a third determination unit that determines whether the estimated first-order natural frequency is equal to or greater than a third set value that is smaller than the first set value, and determines that the design of the floor panel satisfies a panel vibration standard if the estimated first-order natural frequency is equal to or greater than the third set value. Floor design system.

13. A floor design program that causes a computer to design a floor comprising a plurality of floor panels connected to each other and beam members arranged to surround the periphery of the plurality of floor panels, a minimum value calculation step of causing the computer to calculate a minimum first-order natural frequency, which is the minimum value of the first-order natural frequency of the floor panel, based on a first model in which the vibration frequency of the floor panel is estimated to be low; a first determination step of causing the computer to determine whether the minimum first-order natural frequency is equal to or greater than a first set value; a maximum value calculation step in which, when the minimum primary natural frequency is smaller than the first set value, the computer calculates a maximum primary natural frequency, which is the maximum value of the primary natural frequency of the floor panel, based on a second model in which the frequency of the floor panel is estimated to be high; a second determination step of causing the computer to determine whether or not the maximum first-order natural frequency is equal to or greater than a second set value that is set to a value smaller than the first set value; an estimated natural value calculation step of causing the computer to calculate an estimated first natural frequency as the first natural frequency of the floor panel based on relationship information indicating the relationship between a load bearing rate and the first natural frequency and the load bearing rate of the floor panel when the maximum first natural frequency is equal to or greater than the second set value; a third determination step of causing the computer to determine whether the estimated first-order natural frequency is equal to or greater than a third set value that is smaller than the first set value, and determining that the design of the floor panel satisfies a panel vibration standard if the estimated first-order natural frequency is equal to or greater than the third set value. Floor design program.

14. A floor design method executed by a calculation unit for a floor including one floor panel and a beam member arranged to surround the periphery of the floor panel, A minimum value calculation step in which the calculation unit calculates a minimum first-order natural frequency, which is the minimum value of the first-order natural frequency of the floor panel, based on a first model in which the vibration frequency of the floor panel is estimated to be low; a first determination step in which the calculation unit determines whether the minimum first-order natural frequency is equal to or greater than a first set value; When the minimum first-order natural frequency is smaller than the first set value, the calculation unit calculates a maximum first-order natural frequency, which is the maximum value of the first-order natural frequency of the floor panel, based on a second model in which the vibration frequency of the floor panel is estimated to be high. a second determination step in which the calculation unit determines whether the maximum first-order natural frequency is equal to or greater than a second set value that is set to a value smaller than the first set value, In the first determination step, when the minimum first-order natural frequency is equal to or greater than the first set value, the calculation unit determines that the floor satisfies the panel vibration standard, In the second determination step, when the maximum first-order natural vibration frequency is smaller than the second set value, the calculation unit determines that resetting of the floor panel parameters of the floor panel is necessary. Floor design method.

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