Sloshing water level estimation method, overflow volume estimation method and overflow volume estimation system

Abstract

To provide a sloshing water level estimation method, an overflow volume estimation method, and an overflow volume estimation system that can easily estimate a sloshing water level or an overflow volume in a short time.SOLUTION: A sloshing water level estimation method calculates water level fluctuations from an input target acceleration using numerical fluid analysis on a 3D model of a pool, calculates an equivalent damping constant of a frequency response analysis that can reproduce the water level fluctuations calculated by the numerical fluid analysis from the input target acceleration using frequency response analysis on a 2D model of the pool, creates a first relationship equation correlating the water level fluctuations calculated by the numerical fluid analysis and the equivalent damping constant calculated by the frequency response analysis, performs the frequency response analysis on the 2D model of the target pool using any input acceleration and equivalent damping constant, and estimates a sloshing water level by adjusting the equivalent damping constant so that the relationship between the water level fluctuations and the equivalent damping constants falls within a threshold calculated by the first relationship equation.SELECTED DRAWING: Figure 9

Description

Technical Field

[0001] The present invention relates to a sloshing water level estimation method, an overflow water volume estimation method, and an overflow water volume estimation system.

Background Art

[0002] The following Patent Document 1 discloses an evacuation support system including a prediction processing unit that predicts the behavior of a pool based on external information of a location where the pool is located and observation information near the pool, an evacuation determination unit that determines the necessity of evacuation based on the prediction result of the prediction processing unit, and an output unit that outputs information related to evacuation to a user when it is determined that evacuation is necessary.

Prior Art Documents

Patent Documents

[0003]

Patent Document 1

Summary of the Invention

Problems to be Solved by the Invention

[0004] In the evacuation support system described in Patent Document 1 above, in a building where a pool is installed, the behavior of the pool is predicted to support the evacuation behavior of users who use the pool. Therefore, it does not estimate the sloshing water level and the overflow water volume in a short time for determining the design stage of the pool and the seismic motion under consideration.

[0005] In consideration of the above facts, an object of the present invention is to provide a sloshing water level estimation method, an overflow water volume estimation method, and an overflow water volume estimation system that can easily estimate the sloshing water level or the overflow water volume in a short time.

Means for Solving the Problems

[0006] The sloshing water level estimation method according to the first aspect calculates the water level fluctuation from the input target acceleration by numerical fluid analysis of the 3D model of the pool, and calculates the equivalent damping constant of the frequency response analysis that can reproduce the water level fluctuation calculated by the numerical fluid analysis from the input target acceleration by frequency response analysis of the 2D model of the pool, creates a first relational expression that correlates the water level fluctuation by numerical fluid analysis and the equivalent damping constant by frequency response analysis, performs frequency response analysis of the 2D model of the pool to be estimated with an arbitrary input acceleration and equivalent damping constant, and estimates the sloshing water level by correcting the equivalent damping constant so that the relationship between the water level fluctuation and the equivalent damping constant falls within the threshold value calculated by the first relational expression.

[0007] According to the sloshing water level estimation method described in the first aspect, the water level fluctuation is calculated from the input target acceleration by numerical fluid analysis of the 3D model of the pool. Further, the equivalent damping constant of the frequency response analysis that can reproduce the water level fluctuation calculated by the numerical fluid analysis from the input target acceleration is calculated by frequency response analysis of the 2D model of the pool, and a first relational expression that correlates the water level fluctuation by numerical fluid analysis and the equivalent damping constant by frequency response analysis is created. Then, frequency response analysis of the 2D model of the pool to be estimated is performed with an arbitrary input acceleration and equivalent damping constant, and the sloshing water level is estimated by correcting the equivalent damping constant so that the relationship between the water level fluctuation and the equivalent damping constant falls within the threshold value calculated by the first relational expression. Thereby, by creating the first relational expression once, the sloshing water level can be estimated by frequency response analysis using this first relational expression. Therefore, the sloshing water level can be easily estimated in a short time for a pool such as at the design time.

[0008] The sloshing water level estimation method according to the second aspect is the sloshing water level estimation method according to the first aspect, wherein the first relational expression is obtained by determining an equivalent damping constant such that the sloshing water levels are equal when performing analysis under the same conditions as the numerical fluid analysis in the frequency response analysis of the 2D model of the pool, and plotting the normalized water surface displacement obtained by dividing the sloshing water level by the depth of the pool and the value of the determined equivalent damping constant on a graph for a plurality of cases with different pool sizes, and approximating them by the least squares method.

[0009] According to the sloshing water level estimation method described in the second aspect, in the frequency response analysis of the 2D model of the pool, an equivalent damping constant is determined such that the sloshing water levels are equal when performing analysis under the same conditions as the numerical fluid analysis. The normalized water surface displacement obtained by dividing the sloshing water level by the depth of the pool and the value of the determined equivalent damping constant are plotted on a graph for a plurality of cases with different pool sizes and approximated by the least squares method, thereby creating the first relational expression. Therefore, by creating the first relational expression once, the sloshing water level can be estimated by frequency response analysis using this first relational expression.

[0010] The overflow water volume estimation method according to the third aspect calculates, by numerical fluid analysis of a 3D model of the pool, the overflow water volume per unit floor area that overflows from the pool to the floor surface on the pool side due to water level fluctuations from the input target acceleration, calculates, by frequency response analysis of the 2D model of the pool, the wave height area exceeding the reference water level of the pool with the equivalent damping constant capable of reproducing the water level fluctuations calculated by the numerical fluid analysis from the input target acceleration, creates a second relational expression correlating the wave height area and the overflow water volume per unit floor area, and performs frequency response analysis of the 2D model of the pool to be estimated with the equivalent damping constant falling within the threshold value by the sloshing water level estimation method described in claim 1, and estimates the overflow water volume from the pool to be estimated to the floor surface on the pool side using the second relational expression from the calculated wave height area.

[0011] According to the overflow water volume estimation method described in the third aspect, a 3D model of the pool is numerically analyzed by fluid analysis to calculate the overflow water volume per unit floor area that overflows from the pool to the floor surface on the pool side due to the water level fluctuation from the input target acceleration. Further, a 2D model of the pool is subjected to frequency response analysis, and the wave height area exceeding the reference water level of the pool is calculated with an equivalent damping constant that can reproduce the water level fluctuation calculated by numerical fluid analysis from the input target acceleration, and a second relational expression correlating the wave height area and the overflow water volume per unit floor area is created. Then, frequency response analysis of the 2D model of the pool to be estimated is performed with an equivalent damping constant that falls within the threshold according to the sloshing water level estimation method described in the first aspect, and the overflow water volume from the pool to be estimated to the floor surface on the pool side is estimated using the second relational expression from the calculated wave height area. Therefore, by creating the second relational expression, it is possible to easily estimate the overflow water volume from the pool to the floor surface on the pool side in a short time by frequency response analysis for the pool at the time of design or the like.

[0012] The overflow water volume estimation method described in the fourth aspect is the overflow water volume estimation method described in the third aspect, wherein the second relational expression is obtained by performing the calculation of the overflow water volume per unit floor area by the numerical fluid analysis and the calculation of the wave height area by the frequency response analysis with the equivalent damping constant for a plurality of analysis conditions, plotting the overflow water volume per unit floor area and the wave height area on a graph, and approximating them by the least squares method.

[0013] According to the overflow water volume estimation method described in the fourth aspect, the calculation of the overflow water volume per unit floor area by numerical fluid analysis and the calculation of the wave height area by frequency response analysis with an equivalent damping constant are performed for a plurality of analysis conditions, and the overflow water volume per unit floor area and the wave height area are plotted on a graph and approximated by the least squares method, whereby the second relational expression is created. Therefore, by creating the second relational expression once, the overflow water volume from the pool to the floor surface on the pool side can be estimated by frequency response analysis using this second relational expression.

[0014] The overflow water volume estimation system according to the fifth aspect includes an acquisition unit that acquires the two-dimensional size of the pool, the input acceleration, and the equivalent damping constant used for frequency response analysis, an analysis unit that calculates the water level fluctuation by frequency response analysis from the data acquired by the acquisition unit, a determination unit that determines whether the relationship between the equivalent damping constant and the sloshing water level in the analysis unit and the equivalent damping constant and the sloshing water level in the first relational expression according to the first aspect falls within a threshold value, and an estimation unit that, when it is determined by the determination unit that the value falls within the threshold value of the first relational expression, inputs the wave height area of the frequency response analysis into the second relational expression according to the third aspect to estimate the overflow water volume from the pool to the floor surface on the pool side, and a display unit that displays the overflow water volume to the floor surface on the pool side estimated by the estimation unit.

[0015] According to the overflow water volume estimation system according to the fifth aspect, the acquisition unit acquires the two-dimensional size of the pool, the input acceleration, and the equivalent damping constant used for frequency response analysis. The analysis unit calculates the water level fluctuation by frequency response analysis from the data acquired by the acquisition unit. The determination unit determines whether the relationship between the equivalent damping constant and the sloshing water level in the analysis unit and the equivalent damping constant and the sloshing water level in the first relational expression falls within a threshold value. Further, when it is determined by the determination unit that the value falls within the threshold value of the first relational expression, the estimation unit inputs the wave height area of the frequency response analysis into the second relational expression to estimate the overflow water volume from the pool to the floor surface on the pool side. Then, the overflow water volume to the floor surface on the pool side estimated by the estimation unit is displayed on the display unit. Therefore, in the overflow water volume estimation system, it is possible to easily estimate the sloshing water level and the overflow water volume for a pool such as at the time of design in a short time.

Advantages of the Invention

[0016] According to the present disclosure, it is possible to easily estimate the sloshing water level or the overflow water volume in a short time.

Brief Description of the Drawings

[0017]

Figure 1

Figure 2

Figure 3

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Figure 10

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Figure 14

Figure 15

Embodiments for Carrying Out the Invention

[0018] Embodiments of the present invention will be described with reference to the drawings. In each drawing, those with low relevance to the present invention are omitted from illustration. In addition, the same or equivalent components and parts in each drawing are given the same reference numerals.

[0019] 〔First Embodiment〕 Using FIGS. 1 to 15, the sloshing water level estimation method, the water overflow amount estimation method, and the estimation system of the first embodiment will be described.

[0020] <Hardware Configuration of the Estimation System> FIG. 1 is a block diagram showing the hardware configuration of the estimation system 10. The estimation system 10 is an example of a water overflow amount estimation system.

[0021] As shown in FIG. 1, the estimation system 10 has each configuration of a CPU (Central Processing Unit) 11, a ROM (Read Only Memory) 12, a RAM (Random Access Memory) 13, a storage 14, an input unit 15, a display unit 16, and a communication interface 17. Each configuration is communicably connected to each other via a bus 19.

[0022] The estimation system 10 is an example of an information processing system, and is a system that estimates the sloshing water level of a pool to be estimated and the amount of water overflowing from the pool to the floor surface of the pool side by performing frequency response analysis on a 2D model (two-dimensional model) of the pool. Note that the frequency response analysis may be referred to as a simplified analysis with respect to the numerical fluid analysis of a 3D model (three-dimensional model) of the pool.

[0023] The CPU 11 is a central processing unit that executes various programs and controls each part. The CPU 11 is an example of a processor. That is, the CPU 11 reads a program from the ROM 12 or the storage 14 and executes the program using the RAM 13 as a work area. The CPU 11 performs control of each of the above configurations and various arithmetic processes according to the program recorded in the ROM 12 or the storage 14.

[0024] The ROM 12 stores various programs and various data. The RAM 13 temporarily stores a program or data as a work area. The storage 14 is composed of an HDD (Hard Disk Drive) or an SSD (Solid State Drive), and stores various programs including an operating system and various data. In the present embodiment, an information processing program is stored in the ROM 12 or the storage 14. The CPU 11 reads the information processing program from the ROM 12 or the storage 14 and executes the information processing program. The RAM 13 and the storage 14 are examples of memories.

[0025] In the present embodiment, as an example of the information processing program, a sloshing water level estimation program for estimating the sloshing water level of the pool to be estimated, an overflow water amount estimation program for estimating the amount of water overflowing from the pool to be estimated, and the like are stored. Further, in the present embodiment, a first relational expression creation program for creating a first relational expression described later and a second relational expression creation program for creating a second relational expression described later are stored.

[0026] The display unit 16 is a display device (e.g., a liquid crystal display) that displays various types of information. The input unit 15 is used to perform various inputs. The input unit 15 includes a pointing device such as a mouse and a keyboard. Note that the input unit 15 may be of a touch panel type instead of these configurations.

[0027] The communication interface 17 is an interface for communicating with other devices. For example, standards such as Ethernet (registered trademark), FDDI, Wi-Fi (registered trademark), etc. are used. For example, the estimation system 10 can communicate with other information processing devices via the communication interface 17.

[0028] <Functional Configuration of the Estimation System> FIG. 2 is a block diagram showing an example of the functional configuration of the estimation system 10.

[0029] As shown in FIG. 2, the estimation system 10 has, as its functional configuration, an acquisition unit 51, an analysis execution unit 52, a determination unit 53, an estimation unit 54, and a display control unit 55. Further, the estimation system 10 has a first relational expression management unit 61 and a second relational expression management unit 62. Each functional configuration is realized by the CPU 11 reading out an information processing program stored in the ROM 12 or the storage 14 and expanding and executing it in the RAM 13.

[0030] The acquisition unit 51 acquires various numerical values as analysis parameters for performing frequency response analysis. Here, the frequency response analysis is a simple analysis for analyzing a two-dimensional rectangular pool (rectangular water tank). The various numerical values include, for example, input values input from the input unit 15. The various numerical values are, for example, parameters (variables), specified values, etc. In the present embodiment, as the various numerical values, the pool size (e.g., the width and depth of the pool), the equivalent attenuation constant, and the input acceleration are acquired.

[0031] The pool is the pool at the design time that is the object to be estimated. For example, the pool size (the width and depth of the pool) and the input acceleration are determined in advance by the design. The equivalent damping constant is set for each frequency response analysis. The first relational expression is used to determine the equivalent damping constant.

[0032] The analysis execution unit 52 executes a frequency response analysis based on various numerical values acquired by the acquisition unit 51. The analysis execution unit 52 is an example of an analysis unit. The analysis space of the frequency response analysis is a two-dimensional rectangular pool (rectangular water tank) as described above. Also, when calculating the water level fluctuation in the frequency response analysis (that is, when the calculation target is only the water surface), it is one-dimensional. The frequency response analysis is an elastic analysis based on the small amplitude wave theory, and the liquid volume in the pool (in the water tank) is constant (the liquid does not overflow). The analysis execution unit 52 executes the analysis using a predetermined calculation software (for example, Matlab, etc.). Note that the calculation method such as the calculation software is not limited to the above and can be changed.

[0033] The determination unit 53 compares the result of the frequency response analysis with the calculated value of the first relational expression, and determines whether the difference between the result of the frequency response analysis and the calculated value of the first relational expression is within a threshold value (for example, the standard deviation σ). For example, when the difference between the result of the frequency response analysis and the calculated value of the first relational expression does not fall within the threshold value, the equivalent damping constant is corrected, and the calculation is repeated until the difference between the result of the frequency response analysis and the calculated value of the first relational expression falls within the threshold value (for example, the standard deviation σ). For example, when the user inputs a correction value of the equivalent damping constant at the input unit 15 (FIG. 1), the acquisition unit 51 acquires the correction value of the equivalent damping constant.

[0034] The first relational expression management unit 61 manages the first relational expression used by the determination unit 53. In the present embodiment, the first relational expression management unit 61 includes a first relational expression creation unit 61A that creates the first relational expression, and a storage unit 61B that stores the created first relational expression. The determination unit 53 acquires the first relational expression from the first relational expression management unit 61 and makes a determination. The creation process of the first relational expression by the first relational expression creation unit 61A of the first relational expression management unit 61 will be described later.

[0035] Note that the estimation system 10 performs a process of creating a first relational expression by the first relational expression creation unit 61A of the first relational expression management unit 61. However, the present disclosure is not limited to this configuration. For example, the estimation system 10 may receive the first relational expression created by another information processing device via the communication interface 17 (see FIG. 1) without creating the first relational expression and use it in the determination unit 53.

[0036] The estimation unit 54 obtains the wave height area from the result of the frequency response analysis and estimates the amount of water overflowing from the pool to the floor surface on the pool side using the second relational expression. For example, when the difference between the result of the frequency response analysis and the calculated value of the first relational expression falls within a threshold value (for example, the standard deviation σ), the estimation unit 54 obtains the wave height area from the result of the frequency response analysis using the equivalent attenuation constant at that time.

[0037] The second relational expression management unit 62 manages the second relational expression used by the estimation unit 54. In the present embodiment, the second relational expression management unit 62 includes a second relational expression creation unit 62A that creates the second relational expression and a storage unit 62B that stores the created second relational expression. The estimation unit 54 acquires the second relational expression from the second relational expression management unit 62 and uses it for estimating the amount of water overflow. The process of creating the second relational expression by the second relational expression creation unit 62A of the second relational expression management unit 62 will be described later.

[0038] Note that the estimation system 10 performs a process of creating a second relational expression by the second relational expression creation unit 62A of the second relational expression management unit 62. However, the present disclosure is not limited to this configuration. For example, the estimation system 10 may receive the second relational expression created by another information processing device via the communication interface 17 (see FIG. 1) without creating the second relational expression and use it in the estimation unit 54.

[0039] The display control unit 55 controls the screen displayed on the display unit 16 (see FIG. 1). For example, the display control unit 55 displays the result of the frequency response analysis, the estimation result of the sloshing water level, and the estimation result of the amount of water overflowing from the pool to the pool side on the display unit 16.

[0040] <Process of creating the first relational expression> Next, the creation process of the first relational expression by the first relational expression management unit 61 of the estimation system 10 will be described. The first relational expression creation unit 61A of the first relational expression management unit 61 performs the creation process in the order of the following (1) to (5).

[0041] (1) Calculate the water level fluctuation from the input target acceleration by numerical fluid analysis of the 3D model of the pool. Specifically, create a 3D model (three-dimensional model) of the pool, perform numerical fluid analysis with a sine wave having the natural period of the sloshing first mode as the input, and calculate the sloshing water level (Disp) at the pool end. The sloshing water level (Disp) refers to the highest water level of the water level fluctuation on the wall surface of the pool caused by sloshing.

[0042] (2) Calculate the equivalent damping constant of the frequency response analysis that can reproduce the water level fluctuation calculated by the numerical fluid analysis from the input target acceleration by frequency response analysis of the 2D model of the pool. That is, in the frequency response analysis of the 2D model of the pool, calculate the equivalent damping constant at which the sloshing water level is the same when the analysis is performed under the same conditions as the numerical fluid analysis. Specifically, use the 2D model (two-dimensional model) of the pool and perform frequency response analysis (that is, simple analysis) using the same sine wave as in (1) above. Since it is necessary to give the equivalent damping constant (Heq) as a calculation condition in the frequency response analysis, determine the equivalent damping constant (Heq) such that the sloshing displacement obtained from the frequency response analysis and the sloshing displacement (Disp) obtained from the numerical fluid analysis are generally the same.

[0043] (3) Change the amplitude of the sine wave and perform the numerical fluid analysis and frequency response analysis (that is, simple analysis) of (1) to (3) a plurality of times. For example, change the acceleration amplitude of the sine wave to 9 types or the like between 0.1 and 100 cm / s 2 of.

[0044] (4) Similarly, numerical fluid analysis and frequency response analysis (i.e., simplified analysis) are performed multiple times by changing the pool depth, pool width, and pool side width. For example, the pool depth is set to 1.0 m, 1.2 m, etc., the pool width is set to 5.0 m, 15.0 m, 25.0 m, etc., the pool depth is set to 1.0 m, etc., and the pool side width is set to 1.0 m, 2.0 m, 3.0 m, 5.0 m, etc.

[0045] (5) Create a first relational expression that correlates the water level fluctuation from numerical fluid analysis with the equivalent damping constant from frequency response analysis (i.e., simplified analysis). Specifically, as shown in FIG. 3, the normalized water surface displacement (Disp) obtained from numerical fluid analysis, that is, the value obtained by dividing the sloshing displacement by the pool depth, and the value of the equivalent damping constant (Heq) used in the frequency response analysis are plotted on a graph for a plurality of cases with different pool sizes. Then, by approximating with the least squares method, a first relational expression [first evaluation function (F1)] is created as the relationship between the normalized water surface displacement (Disp) and the equivalent damping constant (Heq) used in the frequency response analysis. The degree of the first relational expression [first evaluation function (F1)] can be any, and this time, as shown in FIG. 3, it is approximated by a quadratic function.

[0046] An example of the first relational expression [first evaluation function (F1)] is shown in Equation 1. The first relational expression shown in Equation 1 is an example approximated by a linear function.

Equation

[0047] In the first relational expression shown in Equation 1, a1 is the slope of the derived line derived from FIG. 3, and C1 is the intercept of the derived line derived from FIG. 3 (the normalized water surface displacement when the equivalent damping constant is 0).

[0048] The created first relational expression is stored in the storage unit 61B (see FIG. 2) of the first relational expression management unit 61.

[0049] Once the first relational expression [first evaluation function (F1)] is created, only the convergence calculation (convergence calculation) for determining the equivalent attenuation constant by frequency response analysis (i.e., simple analysis) needs to be performed during the design of the pool.

[0050] <Creation process of the second relational expression> Next, the creation process of the second relational expression by the second relational expression management unit 62 of the estimation system 10 will be described. The second relational expression creation unit 62A of the second relational expression management unit 62 performs the creation process in the order of (1) to (4) below.

[0051] (1) In the numerical fluid analysis performed in the above (1) for creating the first relational expression, calculate the amount of overflow water from the pool to the floor surface on the pool side due to the water level fluctuation. Then, divide the amount of overflow water by the pool side width (width of the floor surface) to convert it into the amount of overflow water per unit area (Vol) from the pool to the floor surface on the pool side.

[0052] (2) Similarly, obtain the wave height area (Area) in the frequency response analysis (i.e., simple analysis) with the equivalent attenuation constant (Heq) determined in the above (2) for creating the first relational expression. The equivalent attenuation constant (Heq) determined in the creation of the first relational expression is an equivalent attenuation constant that can reproduce the water level fluctuation in the numerical fluid analysis. Specifically, as shown in FIG. 4, calculate the wave height area (Area) exceeding the reference water level of the pool. The reference water level of the pool is the reference position (initial position) of the water surface of the pool, and the wave height area (Area) exceeding the reference water level is the area of the hatched portion where the water surface exceeds the reference position in FIG. 4.

[0053] (3) Perform (1) to (2) for all analysis conditions.

[0054] (4) As the relationship between the normalized overflow volume (Vol) of the numerical fluid analysis and the wave height area (Area) of the frequency response analysis (i.e., the simple analysis), a second relational expression [second evaluation function (F2)] is created. The normalized overflow volume (Vol) is the value obtained by dividing the overflow volume by the pool side width, which is equivalent to the overflow volume per unit floor area. Specifically, as shown in FIG. 5, the normalized overflow volume of the numerical fluid analysis and the wave height area of the frequency response analysis (i.e., the simple analysis) are plotted on a graph for all analysis conditions. Then, by approximating with the least squares method, a second relational expression [second evaluation function (F2)] is created. The degree of the second relational expression [second evaluation function (F2)] can be any, and this time it is approximated by a linear function as shown in FIG. 5.

[0055] An example of the second relational expression [second evaluation function (F2)] is shown in Equation 2.

Equation

[0056] In the second relational expression shown in Equation 2, a2 is the slope of the solid line derived from FIG. 5, and C1 is the intercept of the solid line derived from FIG. 5 (the normalized overflow volume when the wave height area is 0).

[0057] Once the second relational expression [second evaluation function (F2)] is created, at the time of pool design, by calculating the wave height area through the frequency response analysis (i.e., the simple analysis), the overflow volume can be estimated using the second relational expression.

[0058] The created second relational expression is stored in the storage unit 62B of the second relational expression management unit 62.

[0059] <Pool to be estimated and content of frequency response analysis> Next, the content of the pool to be estimated and the frequency response analysis (i.e., the simple analysis) to be performed by the estimation system 10 will be described.

[0060] In the estimation system 10, the sloshing water level of the pool to be estimated and the amount of water overflowing from the pool to the floor surface on the pool side are estimated using only the first relational expression [first evaluation function (F1)], the second relational expression [second evaluation function (F2)], and frequency response analysis (i.e., simple analysis). That is, in the present embodiment, when estimating the sloshing water level of the pool to be estimated and the amount of water overflowing, numerical fluid analysis is not performed.

[0061] Fig. 6(A) shows an example of a building model, and Figs. 6(B) and (C) show an example of the pool 80. The pool 80 is an example of the pool to be estimated and is, for example, a pool at the design stage. As shown in Fig. 6(A), the building model is a 30-degree-of-freedom system, and the pool is installed on the 29th floor. As an example, the mass of each floor of the building 70 is 1000 t, the height of the building is 120 m, and the first natural period is 2.4 s. As an example, the main frame is elastic, and the stiffness distribution is a trapezoidal distribution such that the top floor is 0.3 times that of the first floor. Expecting the effect of the vibration control device, the damping constant h is set to 0.03. The input ground motion is the L2 ground motion standardized based on the maximum velocity of Elcentro NS being 50 cm / s.

[0062] As shown in Figs. 6(B) and (C), as an example, the shape of the pool 80 has a width of 15.0 m in the X direction, a width of 3.0 m in the Y direction, and a depth of 1.0 m in the Z direction of the pool 80. Also, the length of the floor surface 82 on the pool side in the X direction is 2.0 m, and the length of the floor surface 82 on the pool side in the Y direction is 2.0 m.

[0063] Frequency response analysis (i.e., simple analysis) is performed using the acceleration of the 29th floor obtained from the analysis of the mass point system. For example, in the frequency response analysis in the X direction, the cross section shown in Fig. 6(C) is calculated in the frequency response analysis.

[0064] Fig. 7 shows the pool of the analysis model for performing frequency response analysis (i.e., simple analysis). As shown in Fig. 7, let the horizontal width of the pool in the X direction of the analysis model be a, and the initial water depth of the pool be h. Also, the calculation formula for the frequency response analysis is as shown in Equation 3.

[0065]

Number

[0066] <Estimation of sloshing water level> Next, the estimation of the sloshing water level of the pool to be estimated by the estimation system 10 will be described.

[0067] In the acquisition unit 51 (see FIG. 2) of the estimation system 10, various numerical values are acquired as analysis parameters for performing frequency response analysis (i.e., simple analysis). In the pool 80 shown in FIG. 6, for example, the various numerical values are the size of the pool 80 (e.g., width and depth), the input acceleration, and the damping constant of sloshing. There is a certain height from the water surface of the pool 80 to the upper end of the container of the pool 80, but in this embodiment, the height from the water surface of the pool 80 to the upper end of the container of the pool 80 is ignored and the analysis is performed with the depth of the pool 80.

[0068] In the analysis execution unit 52 (see FIG. 2) of the estimation system 10, frequency response analysis (i.e., simple analysis) is executed. By executing frequency response analysis, the analysis result of the water surface displacement with respect to the position of the pool width (tank width) can be obtained (see FIG. 8). In the pool 80 of the building model shown in FIG. 6, for example, frequency response analysis (i.e., simple analysis) is executed with the response acceleration of the 29th floor of the building model as the input. By frequency response analysis, the sloshing water level (WL: Water Level) at a certain equivalent damping constant (heq) is calculated at the end of the pool 80. Since the analysis results are different at the left and right ends of the pool 80, the analysis results are evaluated for both ends of the pool 80.

[0069] In the determination unit 53 (see FIG. 2) of the estimation system 10, the equivalent attenuation constant (heq) of the frequency response analysis is gradually increased to establish a condition under which the analysis result falls within the threshold value (for example, the approximate curve ±σ shown in FIG. 9) of the first relational expression [first evaluation function (F1)]. The first relational expression [first evaluation function (F1)] is received from the first relational expression management unit 61 (see FIG. 2). Specifically, in the determination unit 53, the result of the frequency response analysis at a certain equivalent attenuation constant (heq) is compared with the value of the first relational expression [first evaluation function (F1)], and it is determined whether the difference between the two falls within the threshold value (for example, the approximate curve ±σ shown in FIG. 9). If the difference between the two does not fall within the threshold value (for example, the approximate curve ±σ shown in FIG. 9), the equivalent attenuation constant (heq) is corrected and the frequency response analysis (that is, the simple analysis) is performed again.

[0070] As shown in FIG. 9, for example, at the left end of the pool 80, the equivalent attenuation constant (heq) is 0.14, the sloshing water level is 1.66 m, and it falls within the approximate curve ±σ of the first relational expression [first evaluation function (F1)]. Also, at the right end of the pool 80, the equivalent attenuation constant (heq) is 0.17, the sloshing water level is 1.90 m, and it falls within the approximate curve ±σ of the first relational expression [first evaluation function (F1)]. Thus, in the determination unit 53, conditions under which the analysis results at both the left and right ends of the pool 80 fall within the approximate curve ±σ of the first relational expression [first evaluation function (F1)] are established. Thereby, the sloshing water level under the established conditions can be estimated.

[0071] <Estimation of the amount of water overflowed> Next, the estimation of the amount of water overflowed from the pool to the pool-side floor surface, which is the estimation target by the estimation system 10, will be described.

[0072] In the estimation unit 54 (see FIG. 2) of the estimation system 10, the wave height area (Area) in the frequency response analysis (that is, the simple analysis) given the equivalent attenuation constant established in the above estimation of the sloshing water level is calculated. That is, from the frequency response analysis (that is, the simple analysis), the wave height area (Area) where the water surface displacement exceeds the reference position (initial position) is calculated.

[0073] Furthermore, the second relational expression [second evaluation function (F2)] is used to estimate the amount of water overflowing from the pool to the floor surface on the pool side. The second relational expression [second evaluation function (F2)] is received from the second relational expression management unit 62 (see FIG. 2). Specifically, the amount of water overflow is estimated by multiplying the wave height area (Area) by the slope a2 of the second relational expression [second evaluation function (F2)] and the actual floor area.

[0074] For example, as shown in FIG. 5, the slope a2 of the second relational expression [second evaluation function (F2)] is 0.1716, and as shown in FIG. 6(B), the floor area this time is 3 m × 2 m. For example, at the left end of the pool 80, when the equivalent damping constant (heq) is 0.14 and the sloshing water level is 1.66 m, the wave height area (Area) is 0.83 m 2 and the amount of water overflowing from the pool 80 to the floor surface 82 on the pool side is 0.84 m 3 (see FIG. 5). Also, at the right end of the pool 80, when the equivalent damping constant (heq) is 0.17 and the sloshing water level is 1.90 m, the wave height area (Area) is 1.13 m 2 and the amount of water overflowing from the pool 80 to the floor surface 82 on the pool side is 1.16 m 3 (see FIG. 5).

[0075] Next, in order to verify the accuracy of the estimation of the sloshing water level and the amount of water overflow by the estimation system 10, the results of numerical fluid analysis and frequency response analysis (i.e., simple analysis) were compared.

[0076] The analysis space of the numerical fluid analysis is a three-dimensional space considering the actual building model (e.g., pool, floor, columns, steps, etc.). The numerical fluid analysis is a non-linear analysis. In the numerical fluid analysis, when the sloshing variation becomes large, the fluid overflows from the pool to the floor surface on the pool side, so the fluid volume in the pool fluctuates. Although numerical fluid analysis using a three-dimensional model can obtain accurate solutions, the computational cost is extremely high, and it is not possible to sufficiently examine multiple ground motions. Therefore, the influence of sloshing varies depending on which ground motion is used for the examination of sloshing. Also, for the same reason, it is difficult to conduct an examination at the initial stage of design, and numerical fluid analysis is carried out when the design is almost finalized. Therefore, there may be a need for a design change to reflect the influence of sloshing. For this reason, in order to determine the initial stage of design and the ground motions to be examined, a simple method is required that can grasp the influence of sloshing using only frequency response analysis (that is, simplified analysis) without using numerical fluid analysis.

[0077] FIG. 10(A) is a graph comparing the free surface displacement with respect to time by numerical fluid analysis and frequency response analysis (that is, simplified analysis) at the left end of the pool. FIG. 10(B) is a graph comparing the amount of overflow water with respect to time by numerical fluid analysis and frequency response analysis at the left end of the pool. Also, FIG. 11(A) is a graph comparing the free surface displacement with respect to time by numerical fluid analysis and frequency response analysis at the right end of the pool. FIG. 11(B) is a graph comparing the amount of overflow water with respect to time by numerical fluid analysis and frequency response analysis at the right end of the pool.

[0078] As shown in FIGS. 10(A), (B) and FIGS. 11(A), (B), the frequency response analysis (that is, simplified analysis) shows a larger value change compared to the numerical fluid analysis. That is, it is an evaluation on the safe side.

[0079] Next, the operation of the estimation system 10 of the first embodiment will be described.

[0080] FIG. 12 is a flowchart showing the flow of the creation process of the first relational expression that the estimation system 10 is in charge of. The CPU 11 reads out the first relational expression creation program from the ROM 12 or the storage 14, expands it in the RAM 13, and executes it, thereby performing the creation process of the first relational expression.

[0081] The CPU 11 acquires the pool size, the pool side width, and the input size (step S201). In this embodiment, since the depth of the pool is 1 m, the pool size consists of the width and the depth. Also, the pool side width is the width of the floor surface of the pool side. The input is, for example, a sine wave having the natural period of the sloshing first mode corresponding to the pool size.

[0082] The CPU 11 performs numerical fluid analysis and calculates the water level fluctuation (step S202). Specifically, a 3D model (three-dimensional model) of the pool is created according to the acquired pool size, and numerical fluid analysis is performed with the sine wave of the natural period of the sloshing first mode as the input to obtain the sloshing displacement (Disp) at the end of the pool.

[0083] The CPU 11 performs frequency response analysis (step S203). Specifically, using the 2D model (two-dimensional model) of the pool, frequency response analysis (i.e., simple analysis) is performed using the same sine wave as above.

[0084] The CPU 11 calculates the equivalent damping constant of the frequency response analysis that can reproduce the water level fluctuation of the numerical fluid analysis (step S204). Specifically, an equivalent damping constant (Heq) is determined such that the sloshing displacement obtained from the result of the frequency response analysis and the sloshing displacement (Disp) obtained from the numerical fluid analysis are generally the same.

[0085] The CPU 11 determines whether numerical fluid analysis and frequency response analysis have been performed for all the required input sizes (step S205).

[0086] If numerical fluid analysis and frequency response analysis have not been performed for all the required input sizes (step S205: NO), the CPU 11 acquires another input size (step S209). Then, the CPU 11 returns to the process of step S202, performs numerical fluid analysis based on the acquired other input size, and calculates the water level fluctuation. Thereby, the CPU 11 changes the input size and performs numerical fluid analysis and frequency response analysis a plurality of times.

[0087] When numerical fluid analysis and frequency response analysis are performed for all required input sizes (step S205: YES), the CPU 11 determines whether numerical fluid analysis and frequency response analysis have been performed for all required pool sizes and pool side widths (step S206).

[0088] When numerical fluid analysis and frequency response analysis have not been performed for all required pool sizes and pool side widths (step S206: NO), the CPU 11 acquires other pool sizes and pool side widths (step S210). Then, the CPU 11 returns to the process of step S202, performs numerical fluid analysis based on the acquired other pool sizes and pool side widths, and calculates water fluctuations. Thereby, the CPU 11 changes the pool size (for example, width, depth) and the pool side width, and performs numerical fluid analysis and frequency response analysis a plurality of times.

[0089] When numerical fluid analysis and frequency response analysis have been performed for all required pool sizes and pool side widths (step S206: YES), the CPU 11 creates a first relational expression as the relationship between the normalized water surface displacement obtained from the numerical fluid analysis and the equivalent damping constant used in the frequency response analysis (step S207). The normalized water surface displacement (Disp) obtained from the numerical fluid analysis is the value obtained by dividing the sloshing displacement by the pool depth. For example, as shown in FIG. 3, the values of the normalized water surface displacement (Disp) obtained from the numerical fluid analysis and the equivalent damping constant (Heq) used in the frequency response analysis are plotted on a graph for a plurality of cases with different pool sizes and the like. Then, by approximating with the least squares method, a first relational expression [first evaluation function (F1)] is created as the relationship between the normalized water surface displacement (Disp) and the equivalent damping constant (Heq) used in the frequency response analysis.

[0090] The CPU 11 stores the first relational expression (step S208). In the present embodiment, the first relational expression is stored in the RAM 13 or the storage 14. Thereby, the process based on the creation processing program of the first relational expression is terminated.

[0091] FIG. 13 is a flowchart showing the flow of the process for creating the second relational expression that the estimation system 10 is responsible for. The CPU 11 reads the second relational expression creation program from the ROM 12 or the storage 14, expands it in the RAM 13, and executes it, thereby performing the process for creating the second relational expression.

[0092] The CPU 11 calculates the amount of water overflow from the pool to the floor surface of the pool side in the numerical fluid analysis performed in the creation of the first relational expression (step S251). Specifically, numerical fluid analysis is performed in the same manner as in the process for creating the first relational expression, and the amount of water overflow (Vol) from the pool to the floor surface of the pool side is calculated.

[0093] The CPU 11 calculates the wave height area in the frequency response analysis given the equivalent damping constant established in the creation of the first relational expression (step S252). Specifically, in the frequency response analysis (i.e., simplified analysis) given an equivalent damping constant capable of reproducing the water level fluctuations in the numerical fluid analysis, the wave height area (Area) exceeding the reference water level is calculated. For example, as shown in FIG. 4, the wave height area (Area) where the water surface displacement exceeds the reference position (initial position) is calculated.

[0094] The CPU 11 determines whether the process has been performed for all analysis conditions (step S253). That is, the CPU 11 determines whether the processes of step S251 and step S252 have been performed for all analysis conditions.

[0095] If the process has not been performed for all analysis conditions (step S253: NO), the CPU 11 returns to the process of step S251.

[0096] When the process is performed for all analysis conditions (step S253: YES), the CPU 11 creates a second relational expression as the relationship between the normalized overflow volume (Vol) of the numerical fluid analysis and the wave height area (Area) of the frequency response analysis (step S254). The normalized overflow volume (Vol) is a value obtained by dividing the overflow volume by the pool side width. For example, as shown in FIG. 5, the normalized overflow volume of the numerical fluid analysis (i.e., the overflow volume per unit floor area) and the wave height area of the frequency response analysis are plotted on a graph for all analysis conditions. Then, by approximating using the least squares method, a second relational expression [second evaluation function (F2)] is created.

[0097] The CPU 11 stores the second relational expression (step S255). In the present embodiment, the second relational expression is stored in the RAM 13 or the storage 14. Thereby, the process based on the second relational expression creation processing program ends.

[0098] FIG. 14 is a flowchart showing the flow of the sloshing water level estimation process performed by the estimation system 10. The CPU 11 reads the sloshing water level estimation program from the ROM 12 or the storage 14, expands it in the RAM 13, and executes it, thereby performing the sloshing water level estimation process.

[0099] The CPU 11 acquires the pool size, the input acceleration, and the equivalent damping constant (step S301). In the present embodiment, in addition to the pool size, the pool side width is acquired. The pool size is, for example, the pool size at the time of pool design.

[0100] The CPU 11 performs a frequency response analysis and calculates the sloshing water level (WL) (step S302). That is, in the estimation of the sloshing water level, only a frequency response analysis (i.e., a simple analysis) is performed using the acquired pool size, input acceleration, and equivalent damping constant.

[0101] The CPU 11 determines whether the difference between the water level fluctuation value calculated by the first relational expression and the sloshing water level (WL) of the frequency response analysis falls within the threshold value (step S303). Specifically, the CPU 11 receives the first relational expression stored in the RAM 13 or the storage 14, inputs the equivalent attenuation constant into the first relational expression, and calculates the water level fluctuation value. The threshold value is, for example, the standard deviation σ shown in FIG. 9. That is, it is determined whether the difference between the water level fluctuation value calculated by the first relational expression and the sloshing water level (WL) of the frequency response analysis falls within the threshold value (within the range of ±σ).

[0102] If the difference between the water level fluctuation value calculated by the first relational expression and the sloshing water level (WL) of the frequency response analysis does not fall within the threshold value (step S303: NO), the CPU 11 corrects the equivalent attenuation constant (step S304). The equivalent attenuation constant may be corrected based on the input value manually input by the user of the estimation system 10, or may be automatically corrected by the CPU 11. Then, the CPU 11 returns to the process of step S302, performs frequency response analysis from the corrected equivalent attenuation constant, and calculates the sloshing water level (WL).

[0103] If the difference between the water level fluctuation value calculated by the first relational expression and the sloshing water level (WL) of the frequency response analysis falls within the threshold value (step S303: YES), the CPU 11 sets it to the estimated value of the sloshing water level (step S305).

[0104] The CPU 11 outputs the estimated sloshing water level to the display unit 16 (step S306). Thereby, the estimated sloshing water level is displayed on the display unit 16 (see FIG. 1). Thereby, the process based on the sloshing water level estimation program ends.

[0105] FIG. 15 is a flowchart showing the flow of the estimated water overflow amount estimation process performed by the estimation system 10. The CPU 11 reads the water overflow amount estimation program from the ROM 12 or the storage 14, expands it in the RAM 13, and executes it, thereby performing the estimated water overflow amount estimation process.

[0106] The CPU 11 calculates the wave height area in the frequency response analysis with the equivalent attenuation constant determined by estimating the sloshing water level (step S351). The equivalent attenuation constant determined by estimating the sloshing water level is the equivalent attenuation constant when the difference between the water level fluctuation value calculated by the first relational expression and the sloshing water level (WL) of the frequency response analysis falls within the threshold value.

[0107] The CPU 11 estimates the amount of overflow water using the second relational expression based on the calculated wave height area (step S352). Specifically, the CPU 11 receives the second relational expression stored in the RAM 13 or the storage 14, inputs the wave height area (Area) into the second relational expression, and multiplies the calculated amount of overflow water per unit area by the actual floor area on the pool side to estimate the amount of overflow water. Thereby, the amount of overflow water from the pool to the floor on the pool side is estimated.

[0108] The CPU 11 outputs the amount of overflow water to the display unit 16 (step S353). Thereby, the amount of overflow water from the pool to the floor on the pool side is displayed on the display unit 16 (see FIG. 1). Thereby, the process based on the overflow water amount estimation program is terminated.

[0109] As described above, the sloshing water level estimation method of the present embodiment calculates the water level fluctuation from the input target acceleration by numerical fluid analysis using the 3D model of the pool. Further, by frequency response analysis of the 2D model of the pool, the equivalent attenuation constant of the frequency response analysis capable of reproducing the water level fluctuation calculated by numerical fluid analysis from the input target acceleration is calculated, and a first relational expression correlating the water level fluctuation by numerical fluid analysis and the equivalent attenuation constant by frequency response analysis is created. Then, frequency response analysis of the 2D model of the pool to be estimated is performed with an arbitrary input acceleration and an equivalent attenuation constant, and the equivalent attenuation constant is corrected so that the relationship between the water level fluctuation and the equivalent attenuation constant falls within the threshold value calculated by the first relational expression, and the sloshing water level is estimated. Thereby, by creating the first relational expression once, the sloshing water level can be estimated by frequency response analysis using this first relational expression. Therefore, it is possible to easily estimate the sloshing water level in a short time for a pool such as at the design time.

[0110] In addition, in the sloshing water level estimation method of this embodiment, in the frequency response analysis of the 2D model of the pool, the equivalent damping constant at which the sloshing water level is equal when the analysis is performed under the same conditions as the numerical fluid analysis is determined. The normalized water surface displacement obtained by dividing the sloshing water level by the pool depth and the value of the determined equivalent damping constant are plotted on a graph for a plurality of cases with different pool sizes and approximated by the least squares method. Therefore, by creating the first relational expression once, the sloshing water level can be estimated by frequency response analysis using this first relational expression.

[0111] The overflow water volume estimation method of this embodiment calculates the overflow water volume per unit floor area from the pool to the floor surface on the pool side due to water level fluctuations from the input target acceleration by numerical fluid analysis of the 3D model of the pool. Further, by frequency response analysis of the 2D model of the pool, the wave height area exceeding the reference water level of the pool is calculated with an equivalent damping constant that can reproduce the water level fluctuations calculated by numerical fluid analysis from the input target acceleration, and a second relational expression correlating the wave height area and the overflow water volume per unit floor area is created. Then, frequency response analysis of the 2D model of the pool to be estimated is performed with an equivalent damping constant within the threshold by the sloshing water level estimation method, and the overflow water volume is estimated from the floor area on the pool side using the second relational expression from the calculated wave height area. Therefore, by creating the second relational expression, it is possible to easily estimate the overflow water volume from the pool to the floor surface on the pool side in a short time by frequency response analysis for the pool at the time of design or the like.

[0112] In addition, in the overflow water volume estimation method of this embodiment, the second relational expression is created by performing the calculation of the overflow water volume per unit floor area by numerical fluid analysis and the calculation of the wave height area by the frequency response analysis with an equivalent damping constant for a plurality of analysis conditions, plotting the overflow water volume per unit floor area and the wave height area on a graph, and approximating them by the least squares method. Therefore, by creating the second relational expression once, the overflow water volume from the pool to the floor surface on the pool side can be estimated by frequency response analysis using this second relational expression.

[0113] Also, in the estimation system 10 of the present embodiment, the acquisition unit 51 acquires the two-dimensional size of the pool, the input acceleration, and the equivalent damping constant used for frequency response analysis. The analysis execution unit 52 calculates the water level fluctuation by frequency response analysis from the data acquired by the acquisition unit 51. The determination unit 53 determines whether the relationship between the equivalent damping constant in the analysis execution unit 52 and the sloshing water level and the relationship between the equivalent damping constant and the sloshing water level in the first relational expression falls within the threshold value. Further, when the estimation unit 54 determines that the first relational expression falls within the threshold value in the determination unit 53, the wave height area of the frequency response analysis is input to the second relational expression to estimate the amount of water overflowing from the pool to the floor surface on the pool side. Then, the amount of water overflowing to the floor surface on the pool side estimated by the estimation unit 54 is displayed on the display unit 16. Therefore, in the estimation system 10, it is possible to easily estimate the sloshing water level and the amount of water overflow in a short time for a pool such as at the time of design.

[0114] 〔Others〕 The building model and the shape of the pool to be estimated are not limited to the contents described in the first embodiment and can be changed. Also, the first relational expression and the second relational expression are not limited to the contents described in the first embodiment and can be changed.

[0115] Also, in the first embodiment, the threshold value is the standard deviation, but the threshold value is not limited to this and can be changed. Also, the estimated value of the sloshing water level and the estimated value of the amount of water overflow by frequency response analysis are not limited to the estimated values described in the first embodiment and can be changed.

[0116] The processing of the above-described estimation system 10 can also be realized by a dedicated hardware circuit. In this case, it may be executed by one piece of hardware or by a plurality of pieces of hardware.

[0117] In addition, the program for operating the estimation system 10 may be provided by a computer-readable recording medium such as a USB (Universal Serial Bus) memory, a flexible disk, or a CD-ROM (Compact Disc Read Only Memory), or may be provided online via a network such as the Internet. In this case, the program recorded on the computer-readable recording medium is usually transferred and stored in a memory or a storage or the like. Further, this program may be provided, for example, as a single application software, or may be incorporated into the software of each device as a function of the estimation system 10.

[0118] Although the present invention has been described in detail with respect to specific embodiments, it is obvious to those skilled in the art that the present invention is not limited to such embodiments, and various other embodiments are possible within the scope of the present invention.

Explanation of Reference Numerals

[0119] 10 Estimation system 11 CPU (processor) 14 Storage 15 Input unit 16 Display unit 51 Acquisition unit 52 Analysis execution unit (analysis unit) 53 Judgment unit 54 Estimation unit 55 Display control unit 61 First relational expression management unit 61A First relational expression creation unit 62 Second relational expression management unit 62A Second relational expression creation unit 70 Building 80 Pool 82 Floor surface σ Standard deviation (threshold value)

Claims

1. Input the 3D model of the pool into numerical fluid analysis to calculate the water level fluctuation from the input target acceleration, Calculate the equivalent damping constant of frequency response analysis that can reproduce the water level fluctuation calculated by the numerical fluid analysis from the input target acceleration through frequency response analysis of the 2D model of the pool, and create a first relational expression that correlates the water level fluctuation by numerical fluid analysis with the equivalent damping constant by frequency response analysis, Perform frequency response analysis of the 2D model of the pool to be estimated with an arbitrary input acceleration and equivalent damping constant, and correct the equivalent damping constant so that the relationship between the water level fluctuation and the equivalent damping constant falls within the threshold value calculated by the first relational expression to estimate the sloshing water level. A sloshing water level estimation method.

2. In the first relational expression, in the frequency response analysis of the 2D model of the pool, an equivalent damping constant is determined such that the sloshing water levels are equal when analyzed under the same conditions as the numerical fluid analysis. The normalized water surface displacement obtained by dividing the sloshing water level by the depth of the pool and the value of the determined equivalent damping constant are plotted on a graph for a plurality of cases with different pool sizes and approximated by the least squares method. The sloshing water level estimation method according to claim 1.

3. Input the 3D model of the pool into numerical fluid analysis to calculate the amount of water overflow per unit floor area from the pool to the floor of the pool side due to water level fluctuation from the input target acceleration, Calculate the wave height area exceeding the reference water level of the pool with an equivalent damping constant that can reproduce the water level fluctuation calculated by the numerical fluid analysis from the input target acceleration through frequency response analysis of the 2D model of the pool, Create a second relational expression that correlates the wave height area with the amount of water overflow per unit floor area, Perform frequency response analysis of the 2D model of the pool to be estimated with the equivalent damping constant that falls within the threshold value by the sloshing water level estimation method according to claim 1, and estimate the amount of water overflow from the pool to the floor of the pool side of the pool to be estimated using the second relational expression from the calculated wave height area. An amount of water overflow estimation method.

4. The second relational expression is created by performing the calculation of the amount of water overflow per unit floor area by the numerical fluid analysis and the calculation of the wave height area by the frequency response analysis with the equivalent damping constant for a plurality of analysis conditions, plotting the amount of water overflow per unit floor area and the wave height area on a graph, and approximating them by the least squares method. The amount of water overflow estimation method according to claim 3.

5. An acquisition unit that acquires the two-dimensional size of the pool, the input acceleration, and the equivalent damping constant used for frequency response analysis, An analysis unit that calculates water level fluctuations by frequency response analysis from the data acquired by the acquisition unit, A determination unit that determines whether the relationship between the equivalent damping constant and the sloshing water level in the analysis unit and the equivalent damping constant and the sloshing water level in the first relational expression according to claim 1 falls within a threshold value, An estimation unit that estimates the amount of water overflowing from the pool to the floor surface on the pool side by inputting the wave height area of the frequency response analysis into the second relational expression according to claim 3 when it is determined by the determination unit that the value falls within the threshold value of the first relational expression, A display unit that displays the amount of water overflowing to the floor surface on the pool side estimated by the estimation unit, An overflow water amount estimation system having the above components.

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