Information processing method, information processing system, and information processing program

Abstract

To set a spring constant of a vertical spring without executing convergence calculation when setting the spring constant of the vertical spring by separating a foundation of a building from the ground.SOLUTION: The information processing system divides the foundation in the top view into a plurality of segment regions. The information processing system sets a relationship between a matrix S having a settlement amount sj in each of a plurality of divided regions as an element, a matrix F having a settlement amount fj, I generated in a divided region j when a unit ground contact pressure is applied to a divided region I as a load per unit area as an element, and a matrix P having a ground contact pressure pj in each of the plurality of divided regions as an element. The information processing system models the foundation and the ground using a three dimensional finite element method, and acquires the matrix S by calculating the settlement amount sj which is an element of the matrix S. Then, the information processing system calculates the matrix P based on the inverse matrix F-1 and the matrix S, and calculates the spring constant of the vertical spring based on pj, which is an element of the matrix P.SELECTED DRAWING: Figure 5

Description

[Technical Field]

[0001] The present invention relates to an information processing method, an information processing system, and an information processing program. [Background technology]

[0002] A conventional method for analyzing a foundation structure built in contact with the ground using the finite element method (see, for example, Patent Document 1) is known. In this analysis method, the subgrade reaction coefficient, applied load, and the relationship between the bending stiffness and shape of the foundation structure and the displacement amount are created as basic equations using a beam model on elastic supports, and the relationship between the basic equations and the deflection angle, bending moment, and shear force is created as a transfer matrix with the foundation structure as an element. This analysis method then rearranges the order of the bending moment and shear force in the transfer matrix, expands it to convert it into a stiffness matrix in the displacement method, and performs analysis using the finite element method using the stiffness matrix and boundary conditions.

[0003] Also, a structural calculation device that reduces the time and effort required for structural calculations of buildings is known (see, for example, Patent Document 2). This structural calculation device receives the frame of the superstructure, receives the load acting on the superstructure, calculates the stress and deformation caused by the load acting on the superstructure, receives the shape and arrangement of the foundation structure, receives the load acting on the foundation structure, and calculates the stress caused by the load acting on the foundation structure.

[0004] Also, a structural design method is known that can perform structural design by integrating the superstructure and substructure of an architectural structure (see, for example, Patent Document 3). This structural design method sets the structural mechanical concentration point at the pile head that integrates the superstructure and substructure of the architectural structure as a node, and performs structural design of the architectural structure by setting the global coordinate system member stiffness matrix of the node. [Prior art documents] [Patent documents]

[0005] [Patent Document 1] Patent No. 5857297 [Patent Document 2] Japanese Patent Application Laid-Open No. 2003-233640 [Patent Document 3] Japanese Patent Application Laid-Open No. 2005-316645 Summary of the Invention [Problem to be solved by the invention]

[0006] In recent years, there has been an increase in buildings that concentrate building loads on the central core and periphery of the building in order to increase the span of each floor and make the buildings super-tall. These buildings tend to have larger differential settlements in their foundations than standard buildings. For this reason, it is necessary to properly evaluate the differential settlement of the foundation when designing the foundation, and when the differential settlement is particularly large, it is necessary to also consider analysis of the superstructure during construction. Broadly speaking, there are four methods for studying buildings that can take differential settlement into account:

[0007] (1) A method in which the foundation and the ground are separated, a predetermined ground pressure is applied to the ground (floor) surface to calculate the amount of settlement, the fulcrum spring is found from the relationship between the load at the fulcrum position and the amount of settlement, and a vertical spring is input as the fulcrum spring into the frame model of the upper structure including the foundation. (2) A method in which the foundation and the ground are separated, a predetermined ground pressure is applied to the ground (floor) surface to calculate the amount of settlement, the ground spring is determined from the relationship between the ground pressure and the amount of settlement, and the vertical spring is input as the ground spring into the foundation frame modeled using an analysis tool using the three-dimensional finite element method. (3) A method in which the foundation and ground are modeled using an analytical tool that uses the three-dimensional finite element method, and by applying a column load, the stress of the pressure plate is calculated at the same time as the settlement is calculated. (4) A method in which the entire building and the ground are modeled using an analytical tool that uses the three-dimensional finite element method, and the stress of the pressure plate is calculated simultaneously with the settlement calculation.

[0008] Figure 8 is a diagram for explaining the above four methods. P2 shown in (1) and (2) of Figure 8 represents the ground pressure generated by the load, y2 represents the amount of subsidence, and K2 represents the spring constant. Also, FEM shown in Figure 8 is an abbreviation for the Finite Element Method.

[0009] Of the four methods above, let's consider the case where method (1) or (2) is adopted. Methods (1) and (2) are methods in which the foundation of the building is separated from the ground and the spring constant of the vertical spring is calculated. Methods (1) and (2) are methods in which a specified ground pressure is applied to the foundation or ground, the fulcrum spring or ground spring in the foundation or ground is calculated, and a vertical spring, which is a fulcrum spring or ground spring, is set in the upper structure of the foundation.

[0010] Here, in the study methods (1) or (2), to obtain a predetermined ground pressure, the planar foundation is divided and the column load value included in or in contact with each divided area is divided by the divided area. Specifically, as shown in Figure 9, the ground pressure at each location on the foundation is geometrically calculated according to the divided areas. When calculating the ground pressure of the shaded area shown on the left side of Figure 9, the ground pressure of the shaded area is calculated by dividing the ground pressure P9 applied to the node at the bottom left of the shaded area by 4, the ground pressure P10 applied to the node at the bottom right of the shaded area by 2, the ground pressure P14 applied to the node at the top left of the shaded area by 4, and the ground pressure P15 applied to the node at the top right of the shaded area by 2, and then dividing the sum by the area of ​​the shaded area. Furthermore, when calculating the ground pressure of the shaded area shown on the right side of Figure 9, the ground pressure of the shaded area is calculated by dividing the load applied to each shaded area by the area of ​​the shaded area.

[0011] However, because the actual ground pressure is determined by the interaction between the building and the ground, in order to calculate the ground pressure accurately, it is necessary to perform convergence calculations and convergence calculations within the calculation program. For example, it is necessary to perform convergence calculations such as (A) load setting → (B) settlement calculation → (C) support spring setting → (D) load resetting → return to (B). At this time, the following two problems can arise.

[0012] The first issue is that when the foundation shape is complex, if the divided area is not divided appropriately, the number of convergence calculations increases significantly. In particular, if a support spring is installed in a position where there is no column load (for example, the inside of both ends of a foundation beam in a strip foundation), the number of convergence calculations until the results converge increases significantly.

[0013] The second issue is that when calculating a vertical spring as a ground spring and inputting the vertical spring into a foundation modeled using an analysis tool that uses the 3D finite element method, if the rigid center position of the ground spring in the divided area differs from the center of gravity position determined by the column load, the results of the ground settlement analysis and the amount of settlement of the foundation model will differ significantly.

[0014] Of the four above-mentioned methods, (3) and (4) do not have the above problems, but these methods are limited to special conditions, such as when it is necessary to evaluate the impact on surrounding structures. The reason for this is that there are many changes in specifications during the design stage of a building, and it is not efficient to repeat large-scale calculations, including the ground, every time a minor change is made to a component, etc., and the license fees for each analysis tool are high, so methods (1) and (2) are the most commonly used.

[0015] However, as mentioned above, when using methods such as (1) and (2) above, in which the foundation of the building is separated from the ground and the spring constant of the vertical spring is set, there is a problem in that it is necessary to perform convergence calculations until the results converge.

[0016] The technology disclosed in Patent Document 1 considers horizontal springs, not vertical springs. The technology disclosed in Patent Document 2 separates the foundation and the ground, but does not disclose a detailed calculation method for this. The technology disclosed in Patent Document 3 is a technology that performs an integrated analysis of the ground and the foundation without separating them.

[0017] The present invention has been made in consideration of the above facts, and aims to set the spring constant of a vertical spring without performing convergence calculations when separating the foundation of a building from the ground and setting the spring constant of the vertical spring. [Means for solving the problem]

[0018] In order to achieve the above object, an information processing method of the present invention is an information processing method for calculating a spring constant of a vertical spring, which is a fulcrum spring or a ground spring used in designing a foundation of a building, by separating the foundation and the ground, and for dividing the foundation into a plurality of sectional areas when viewed from above, by setting first sectional areas each having a center at a position where a column or a fulcrum spring is set for the foundation, and second sectional areas each being a sectional area different from the first sectional areas, and calculating a subsidence amount s in each of the plurality of sectional areas. j (j is an index for identifying the subdivision area) as an element of the matrix S, and the amount of settlement f that occurs in the subdivision area j when a unit ground pressure is applied to the subdivision area i (i is an index for identifying the subdivision area) as a load per unit area. j,i A matrix F having as elements, and a ground contact pressure p j The relationship with the matrix P having the elements is set as follows:

number

[0019] According to the present invention, when setting the spring constant of a vertical spring by separating the foundation of a building from the ground, the spring constant of the vertical spring can be set without performing convergence calculations. [Brief explanation of the drawings]

[0020] [Figure 1] FIG. 10 is a diagram for explaining setting of a segmented region. [Figure 2] FIG. 10 is a diagram for explaining setting of a segmented region. [Figure 3] FIG. 1 is a diagram for explaining Steinbrenner's approximate solution method. [Figure 4] FIG. 1 is a diagram for explaining Steinbrenner's approximate solution method. [Figure 5] 1 is a block diagram illustrating an example of a configuration of an information processing system according to an embodiment of the present invention. [Figure 6] FIG. 2 is a diagram illustrating an example of the configuration of a computer in the information processing system according to the present embodiment. [Figure 7] FIG. 4 is a diagram illustrating an example of an information processing routine according to the present embodiment. [Figure 8] FIG. 10 is a diagram for explaining a method for examining a building that can take differential settlement into account. [Figure 9] FIG. 10 is a diagram for explaining calculation of ground pressure at each point of the foundation according to the divided area. DETAILED DESCRIPTION OF THE INVENTION

[0021] Hereinafter, embodiments of the present invention will be described in detail with reference to the drawings.

[0022] <Outline of this embodiment> In this embodiment, we propose a method for calculating the ground pressure and vertical spring used in the above-mentioned study methods (1) and (2) without performing convergence calculations, using the settlement obtained from a three-dimensional finite element method that models the building foundation and the ground. However, in this embodiment, the ground model is elastic so that the principle of superposition holds. Using the method proposed in this embodiment, it is possible to install a support spring at any position where there is no column load, so that the center of gravity of the load coincides with the rigid center position of the ground spring, and convergence calculations can be significantly reduced. This will be explained in detail below.

[0023] In this embodiment, the following processes from Step 1 to Step 7 are executed.

[0024] Step 1 (Setting the first partition area) First, the shape of the foundation is divided so that the positions of the pillars and the positions where the fulcrum springs are to be installed are the rigid center positions when the foundation of the building is viewed from above. Figure 1 is a diagram for explaining the setting of the sectional areas. Note that, hereinafter, the sectional areas set in Step 1 are referred to as first sectional areas. The diagram shown in Figure 1 is a plan view of the foundation of the building when viewed from above. As shown in Figure 1, multiple first sectional areas R1 are set as sectional areas centered on the pillar positions or the fulcrum springs. Note that, although the first sectional areas shown in Figure 1 are rectangular, this is to simplify the calculation process and does not necessarily have to be rectangular.

[0025] Step 2 (Setting the second division area) A second segmented region is set by dividing a region different from the first segmented region set in Step 1. FIG. 2 is a diagram for explaining the second segmented region. As shown in FIG. 2, a plurality of second segmented regions R2 different from the first segmented region R1 are set. However, of the segmented regions set in Step 1 and Step 2, the shape and area of ​​at least one segmented region must be different from the other segmented regions. This is a necessary condition when calculating the inverse matrix of matrix F, which will be described later.

[0026] Step 3 (Setting the relational equation) Next, when a load q per unit area is applied to a certain divided area i, the amount of settlement at the rigid center position of each divided area is calculated. Here, the amount of settlement that occurs in divided area j due to the load q occurring in divided area i is calculated as f j,i The matrix F is the amount of settlement f when a unit ground pressure generated by a load q is applied. j,i In this case, the base of a building consisting of n divided areas is subjected to unit ground pressure p1,...p i ,···p n When the force acts on the ground, the settlement of each point is s1, s j ,···s n In this case, we consider calculating the unit ground pressure p1,...p i ,···p n and the subsidence amounts s1, s j ,···s n The following relational expression (1) holds between the matrix S1 having elements:

[0027]

number

[0028] where s j is the subsidence of the division area j, and p i is the unit ground pressure in the division area i.

[0029] In this embodiment, the Steinbrenner approximation method is used to calculate the amount of subsidence f occurring in the division area j when a unit ground pressure is applied to the division area i. j,i It should be noted that methods other than Steinbrenner's approximate solution may be used to calculate the amount of settlement. Steinbrenner's approximate solution is a method for calculating the amount of settlement at a corner when ground pressure is applied to a rectangular area. Figures 3 and 4 are diagrams for explaining Steinbrenner's approximate solution. Consider the case where the positional relationship between sectional area i and sectional area j is as shown in Figure 3. In this case, by adding and subtracting the amounts of settlement due to the loads of the four areas (X1, X2, X3, X4) shown in Figure 4, the amount of settlement f that occurs in sectional area j due to a unit load q that occurs in sectional area i can be calculated. j,i is calculated.

[0030] For example, consider the amount of subsidence δ occurring at a depth d (m) as shown in Figure 4. In this case, the amount of subsidence f occurring in the divided area j is calculated by subtracting the amount of subsidence δ2 occurring in the area X2 and the amount of subsidence δ3 occurring in the area X3 from the amount of subsidence δ1 occurring in the area X1, and adding the amount of subsidence δ4 occurring in the area X4 to the result. j,i Therefore, the settlement f of the section j caused by the unit load q of the section i shown in Figure 4 is j,i becomes:

[0031] f j,i =δ1-δ2-δ3+δ4

[0032] The settlements of all the sections set for the foundation are calculated using the method described above. For details of Steinbrenner's approximate solution method, please refer to various documents.

[0033] Step 4 (Transformation of relational expressions) Next, let P2 be the matrix whose elements are the contact pressures of each sectional area when the actual building load is applied to the foundation and ground. In this case, the relationship between the matrix P2 of the contact pressures of each sectional area and the matrix S2 of the settlement amount in the above formula (1) can be rewritten as follows:

[0034] P2=F -1 ×S2 (2)

[0035] In addition, F -1 is the inverse matrix of the matrix F calculated in Step 3, and corresponds to the stiffness matrix.

[0036] Step 5 (Calculating settlement using the 3D finite element method) Next, using a 3D finite element analysis tool, the ground is modeled using solid elements, and the foundation is modeled using plate elements with bending rigidity equivalent to that of the foundation frame. After that, a matrix S2 is calculated, with the settlement amount at each location as an element, by applying a specified column load.

[0037] Step 6 (Calculating ground pressure) Next, the matrix P2, whose elements are the contact pressure of each divided area, is calculated using the relationship in equation (2) above. This method eliminates the need for convergence calculations in settlement analysis. However, if the contact pressure is calculated from the nodal stress, which is the result of a 3D finite element method analysis, the accuracy of the average calculation will decrease if there are areas where the contact pressure within each divided area changes suddenly. In addition, since the averaged contact pressure value depends on the mesh shape, symmetry may be lost, and the accuracy of the calculation of the vertical spring will decrease slightly.

[0038] Step 7 (Calculating the spring constant) Next, the spring constant k of the ground spring in the divided area i is calculated using the matrix P2 and the matrix S2. i =p i / s i In addition, the support spring can be calculated by multiplying the spring constant of the ground spring by the area of ​​the divided area.

[0039] According to the above procedure, the present embodiment makes it possible to calculate the vertical spring required when examining the foundation and the ground separately without performing convergence calculations. Specifically, the processing in Step 5 (calculating the amount of settlement using the three-dimensional finite element method) eliminates the need to perform convergence calculations.

[0040] <Configuration of information processing system according to this embodiment> Fig. 5 shows an example of the configuration of an information processing system 10 according to an embodiment of the present invention. Functionally, the information processing system 10 can be represented as a configuration including a reception unit 12, a computer 14, and an output unit 16, as shown in Fig. 5.

[0041] The receiving unit 12 receives various data. Specifically, the receiving unit 12 receives data related to the foundation and ground of the building, data used to perform various calculations, data indicating the positions of pillars or fulcrum springs, etc. These data are set in advance by the user.

[0042] The computer 14 includes a CPU (Central Processing Unit), a ROM (Read Only Memory) storing programs for implementing various processing routines, a RAM (Random Access Memory) for temporarily storing data, a memory serving as a storage means, a network interface, etc. As shown in FIG. 6, the computer 14 includes a CPU 51, a memory 52 serving as a temporary storage area, and a non-volatile storage unit 53. The computer 14 also includes an input / output interface (I / F) 54 to which the reception unit 12 and the output unit 16, which are input / output devices (not shown), are connected, and a read / write (R / W) unit 55 that controls reading and writing of data from and to a recording medium 59. The computer 14 also includes a network I / F 56 that is connected to a network such as the Internet. The CPU 51, the memory 52, the storage unit 53, the input / output I / F 54, the R / W unit 55, and the network I / F 56 are connected to one another via a bus 57.

[0043] The storage unit 53 can be realized by a hard disk drive (HDD), a solid state drive (SSD), a flash memory, etc. The storage unit 53 as a storage medium stores a program for causing the computer to function. The CPU 51 reads the program from the storage unit 53, loads it into the memory 52, and sequentially executes the processes contained in the program.

[0044] As shown in FIG. 5, the computer 14 functionally comprises a data storage unit 20, a partitioned region setting unit 24, a relationship setting unit 26, and a calculation unit .

[0045] The data storage unit 20 stores various data accepted by the accepting unit 12.

[0046] The sectional area setting unit 24 refers to the data stored in the data storage unit 20 and divides the foundation when viewed from above into a plurality of sectional areas. Specifically, as shown in Figures 1 and 2, the sectional area setting unit 24 sets first sectional areas R1 each centered on a position where a pillar is set on the foundation or a position where a fulcrum spring is set, and second sectional areas R2 each being a sectional area different from the first sectional area R1.

[0047] In this case, the shape and area of ​​at least one of the plurality of partitioned regions, including the plurality of first partitioned regions R1 and the plurality of second partitioned regions R2, is set to be different from the shape and area of ​​the other partitioned regions. This makes it possible to make the determinant of the matrix F |F| ≠ 0, and the inverse matrix F -1 This makes it easier to calculate

[0048] The relationship setting unit 26 calculates the subsidence amount s in each of the plurality of divided regions. j (j is an index for identifying the divided area) as an element, and the settlement amount f that occurs in the divided area j when a unit ground pressure is applied to the divided area i (i is an index for identifying the divided area) as a load per unit area. j,i and the ground pressure pj The relationship with the matrix P1 having these as elements is set as shown in the above formula (1).

[0049] The calculation unit 28 calculates the settlement amount f, which is an element of the matrix F, using the Steinbrenner approximation method. j,i Next, the calculation unit 28 calculates the inverse matrix F of the matrix F using a known calculation method. -1 Calculate.

[0050] Next, the calculation unit 28 models the foundation and ground of the building using the three-dimensional finite element method, and calculates the settlement amount s j In this embodiment, the matrix S2 is obtained by calculating the subsidence amount s j By using the three-dimensional finite element method to calculate the spring constant of the vertical spring, it is possible to obtain the spring constant of the vertical spring without performing convergence calculations.

[0051] Next, the calculation unit 28 calculates the inverse matrix F -1 The calculation unit 28 calculates a matrix P2 based on the matrix S2. Then, the calculation unit 28 calculates p j Specifically, the calculation unit 28 calculates the spring constant k of the ground spring of the divided area i using the matrix P2 and the matrix S2. i =p i / s i The calculation unit 28 also calculates the spring constant k of the ground spring. i The fulcrum spring is calculated by multiplying by the area of ​​the divided region.

[0052] The output unit 16 outputs the spring constant obtained by the calculation unit 28 as a result. Note that the output unit 16 is realized by, for example, a display.

[0053] <Operation of the information processing system 10> Next, we will explain the operation of the information processing system 10. When the reception unit 12 of the information processing system 10 receives input of various data, it stores the data in the data storage unit 20. Then, when the computer 14 of the information processing system 10 receives an instruction signal to execute processing, it executes the processing routine shown in FIG.

[0054] In step S100, the segmented region setting unit 24 sets each of the first segmented regions R1, each centered on a position where a pillar is set on the foundation or a position where a fulcrum spring is set, as shown in FIG.

[0055] In step S102, the segmented region setting unit 24 sets, for the base, second segmented regions R2 that are segmented regions different from the first segmented region R1, as shown in FIG.

[0056] In step S104, the relationship setting unit 26 sets the relationship between the matrix S1, the matrix F, and the matrix P1 as shown in the above formula (1).

[0057] In step S106, the calculation unit 28 calculates the subsidence amount f j,i and obtain the matrix F.

[0058] In step S108, the calculation unit 28 calculates the inverse matrix F of the matrix F obtained in step S106 using a known calculation method. -1 Calculate.

[0059] In step S110, the calculation unit 28 models the foundation and ground of the building using the three-dimensional finite element method, and calculates the subsidence amount s j The matrix S2 is obtained by calculating

[0060] In step S112, the calculation unit 28 calculates the inverse matrix F obtained in step S108. -1 and the matrix S2 obtained in step S110, the matrix P2 is calculated according to the above equation (2).

[0061] In step S114, the calculation unit 28 calculates the spring constant k of the vertical spring based on the ground pressure p, which is each element of the matrix P2 obtained in step S112.

[0062] The output unit 16 outputs the spring constant k of the vertical spring calculated by the calculation unit 28 as a result.

[0063] As explained in detail above, the information processing system of this embodiment calculates the spring constant of a vertical spring, which is a fulcrum spring or ground spring used when designing a foundation for a building, by separating the foundation from the ground. Specifically, when dividing the foundation into a plurality of divided areas when viewed from above, the information processing system sets first divided areas each centered on a position where a column or a fulcrum spring is set for the foundation, and second divided areas each different from the first divided areas. The information processing system calculates the amount of subsidence s in each of the plurality of divided areas. j (j is an index for identifying the subdivision area) as an element of the matrix S, and the amount of settlement f that occurs in the subdivision area j when a unit ground pressure is applied to the subdivision area i (i is an index for identifying the subdivision area) as a load per unit area. j,i and the ground pressure p j The relationship with the matrix P having these as elements is set as follows:

[0064]

number

[0065] The information processing system then calculates the subsidence amount f j,i Calculate the inverse matrix F -1 Next, the information processing system uses the three-dimensional finite element method to model the foundation and the ground, and calculates the settlement amount s j Then, the information processing system calculates the inverse matrix F -1Based on the matrix S, the matrix P is calculated, and p j The spring constant of the vertical spring is calculated based on the above equation. This makes it possible to set the spring constant of the vertical spring without performing convergence calculations when separating the foundation of a building from the ground and setting the spring constant of the vertical spring.

[0066] In addition, in the information processing system of this embodiment, the shape and area of ​​at least one of the plurality of partitioned areas, including the plurality of first partitioned areas and the plurality of second partitioned areas, is set to be different from the shape and area of ​​the other partitioned areas. This makes it possible to make the determinant of the matrix F |F| ≠ 0, and the inverse matrix F -1 This makes it easier to calculate

[0067] In addition, the information processing system of this embodiment uses a hybrid of the conventional "method of separating the foundation and the ground to determine the support spring or ground spring" and the "method of performing settlement calculations and stress checks using the three-dimensional useful element method," thereby enabling improved accuracy of calculation results and a significant reduction in review time.

[0068] In the latter method, "calculating settlement and conducting stress analysis using the 3D useful element method," the analysis area of ​​the ground must extend from the bottom of the foundation in the depth direction to 1.5 to 2.0 times the width of the short side of the foundation, and from the building perimeter to the glass plane, 1.5 to 2.0 times the width of the short side of the foundation. On the other hand, stress analysis of building components often uses small elements with sides of 500 mm or less, which requires a huge amount of calculation and is time-consuming. Furthermore, design changes occur frequently, and even minor changes to components require extensive recalculation. Furthermore, since the license fees for the 3D finite element method analysis tools for ground analysis in the above methods (3) and (4) are very expensive, avoiding recalculation due to design changes has the advantage of reducing the number of licenses required.

[0069] The former "method of determining the fulcrum spring or ground spring by separating the foundation and the ground" is a method that can easily accommodate frequent design changes, but because it is a simple method, there are problems with the need for convergence calculations and accuracy. In this embodiment, these problems are solved by using the settlement amount calculated from the model of the ground and simplified foundation using the 3D finite element method, and it is a method that can calculate the fulcrum spring or ground spring with dramatically high accuracy in a short time.

[0070] The present invention is not limited to the above-described embodiment, and various modifications and applications are possible without departing from the spirit and scope of the present invention.

[0071] For example, in the above embodiment, the Steinbrenner approximation method is used to obtain the matrix F, but the present invention is not limited to this. The matrix F may be obtained using other methods.

[0072] Furthermore, although the above describes a case in which the program is pre-stored (installed) in a storage unit (not shown), the program can also be provided in a form in which it is recorded on any of the recording media such as a CD-ROM, DVD-ROM, or microSD card.

[0073] (Addendum) The following additional notes are provided regarding aspects of the present disclosure.

[0074] (Appendix 1) An information processing method for calculating the spring constant of a vertical spring, which is a fulcrum spring or a ground spring used in designing the foundation of a building, by separating the foundation and the ground, comprising: When dividing the foundation into a plurality of partitioned areas when viewed from above, each of the first partitioned areas is set to a position where a pillar is set or a position where a fulcrum spring is set on the foundation, and each of the second partitioned areas is set to a partitioned area different from the first partitioned area; The subsidence amount s in each of the plurality of divided regions j(j is an index for identifying the subdivision area) as an element of the matrix S, and the amount of settlement f that occurs in the subdivision area j when a unit ground pressure is applied to the subdivision area i (i is an index for identifying the subdivision area) as a load per unit area. j,i A matrix F having as elements, and a ground contact pressure p j The relationship with the matrix P having the elements is set as follows:

number

number

number

[0075] 10 Information Processing Systems 12 Reception 14 Computer 16 Output section 20 Data storage unit 24 Sectional area setting section 26 Relationship Setting Section 28 Arithmetic section

Claims

1. An information processing method for calculating the spring constant of a vertical spring, which is a fulcrum spring or a ground spring used in designing the foundation of a building, by separating the foundation and the ground, comprising: When dividing the foundation into a plurality of partitioned areas when viewed from above, each of the first partitioned areas is set to a position where a pillar is set or a position where a fulcrum spring is set on the foundation, and each of the second partitioned areas is set to a partitioned area different from the first partitioned area; The subsidence amount s in each of the plurality of divided regions ｊ (j is an index for identifying a segmented region) as an element, and the amount of subsidence f that occurs in segmented region j when a unit ground pressure is applied to segmented region i (i is an index for identifying a segmented region) as a load per unit area. ｊ，ｉ A matrix F having as elements, and a ground contact pressure p ｊ The relationship with the matrix P having these elements is set as follows: [Equation 1] The subsidence amount f ｊ，ｉ Calculate The inverse matrix F of the matrix F －１ Calculate The foundation and the ground are modeled using a three-dimensional finite element method, and the settlement amount s ｊ to obtain the matrix S by calculating The inverse matrix F －１ and the matrix S, and calculate the matrix P; p, which is an element of the matrix P ｊ Calculating the spring constant of the vertical spring based on An information processing method in which processing is performed by a computer.

2. a shape and an area of ​​at least one of the plurality of partitioned areas including the plurality of first partitioned areas and the plurality of second partitioned areas is set to be different from a shape and an area of ​​the other partitioned areas; The information processing method according to claim 1 .

3. An information processing system for calculating the spring constant of a vertical spring, which is a fulcrum spring or a ground spring used in designing the foundation of a building, by separating the foundation and the ground, comprising: When dividing the foundation into a plurality of partitioned areas when viewed from above, each of the first partitioned areas is set to a position where a pillar is set or a position where a fulcrum spring is set on the foundation, and each of the second partitioned areas is set to a partitioned area different from the first partitioned area; The subsidence amount s in each of the plurality of divided regions ｊ (j is an index for identifying a segmented region) as an element, and the amount of subsidence f that occurs in segmented region j when a unit ground pressure is applied to segmented region i (i is an index for identifying a segmented region) as a load per unit area. ｊ，ｉ A matrix F having as elements, and a ground contact pressure p ｊ The relationship with the matrix P having these elements is set as follows: [Equation 2] The subsidence amount f ｊ，ｉ Calculate The inverse matrix F of the matrix F －１ Calculate The foundation and the ground are modeled using a three-dimensional finite element method, and the settlement amount s ｊ to obtain the matrix S by calculating The inverse matrix F －１ and the matrix S, and calculate the matrix P; p, which is an element of the matrix P ｊ Calculating the spring constant of the vertical spring based on An information processing system that executes processing.

4. An information processing program for calculating the spring constant of a vertical spring, which is a fulcrum spring or a ground spring used in designing the foundation of a building, by separating the foundation and the ground, comprising: When dividing the foundation into a plurality of partitioned areas when viewed from above, each of the first partitioned areas is set to a position where a pillar is set or a position where a fulcrum spring is set on the foundation, and each of the second partitioned areas is set to a partitioned area different from the first partitioned area; The subsidence amount s in each of the plurality of divided regions ｊ (j is an index for identifying a segmented region) as an element, and the amount of subsidence f that occurs in segmented region j when a unit ground pressure is applied to segmented region i (i is an index for identifying a segmented region) as a load per unit area. ｊ，ｉ A matrix F having as elements, and a ground contact pressure p ｊ The relationship with the matrix P having these elements is set as follows: [Equation 3] The subsidence amount f ｊ，ｉ Calculate The inverse matrix F of the matrix F －１ Calculate The foundation and the ground are modeled using a three-dimensional finite element method, and the settlement amount s ｊ to obtain the matrix S by calculating The inverse matrix F －１ and the matrix S, and calculate the matrix P; p, which is an element of the matrix P ｊ Calculating the spring constant of the vertical spring based on An information processing program that causes a computer to execute a process.

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