Analysis system and analysis method

Abstract

To quantify results of finite element analysis by a simple method, for example, in structural analysis of a structure.SOLUTION: An analysis system 100 comprises a data acquisition unit 103 that acquires map data in which class values based on results of finite element analysis are mapped to coordinates within a predetermined region, and a quantification processing unit 104 that quantifies a distribution of class values in the map data.SELECTED DRAWING: Figure 1

Description

[Technical Field]

[0001] The present invention relates to an analysis system and an analysis method. [Background technology]

[0002] For example, finite element analysis is commonly used in the structural analysis of structures. For example, Patent Document 1 describes a method for analyzing the drying shrinkage of reinforced concrete slabs using finite element analysis to reduce cracks in concrete caused by drying shrinkage. Furthermore, Patent Document 2 describes a technique for determining strain distribution using finite element analysis when designing architectural structures with excellent earthquake resistance. [Prior art documents] [Patent documents]

[0003] [Patent Document 1] Japanese Patent Application Publication No. 2023-130674 [Patent Document 2] Japanese Patent Publication No. 2023-66623 Summary of the Invention [Problem to be solved by the invention]

[0004] However, conventional finite element analysis, for example in the case of structural analysis, is used to identify the maximum values ​​of stress or strain and the location where these maximum values ​​occur, and it is not common to quantify them as a distribution of analytical values. Although it is possible to quantify analytical values ​​because they are calculated for each element, if the results of finite element analysis are used as is, the amount of data associated with each element is enormous, and quantification requires a huge amount of data and computational resources. Therefore, an object of the present invention is to provide an analysis system and an analysis method that are capable of quantifying the results of finite element analysis using a simple method. [Means for solving the problem]

[0005] [1] An analysis system comprising: a data acquisition unit that acquires map data in which class values ​​based on the results of finite element analysis are mapped to coordinates within a predetermined region; and a quantification processing unit that quantifies the distribution of the class values ​​in the map data. [2] The analysis system according to [1], wherein the map data is an image and the class values ​​are gradation values ​​of the image. [3] The analysis system according to [1], wherein the quantification processing unit calculates the distribution rate of the class value within the specified region. [4] The analysis system according to [3], further comprising a class setting processing unit that sets classes for the analysis values ​​of the finite element analysis and calculates the class values ​​according to the classes. [5] The analysis system according to [1], further comprising a finite element analysis unit that executes the finite element analysis. [6] The analysis system according to any one of [1] to [5], wherein the finite element analysis is a structural analysis. [7] The analysis system according to [6], wherein the object of the structural analysis is a floor slab. [8] An analysis method including the steps of obtaining map data in which class values ​​based on the results of finite element analysis are mapped to coordinates within a predetermined region, and quantifying the distribution of the class values ​​in the map data. [Effects of the Invention]

[0006] According to the above configuration, the distribution of class values ​​based on the results of finite element analysis is quantified in map data in which class values ​​are mapped to coordinates within a specified region, so that the results of finite element analysis can be quantified using a simpler method than, for example, quantifying the distribution of analytical values ​​of finite element analysis directly. [Brief explanation of the drawings]

[0007] [Figure 1] 1 is a schematic block diagram of an analysis system according to an embodiment of the present invention; [Figure 2] 2 is a flowchart of an analysis method executed using the analysis system shown in FIG. 1. [Figure 3] FIG. 2 is a cross-sectional view illustrating the configuration of a composite slab. [Figure 4] FIG. 1 is a contour diagram of an example (No. 1). [Figure 5] 1 is a contour diagram and a graph of area ratio of an example (No. 2). [Figure 6] 1 is a contour diagram and a graph of area ratio of an example (No. 3). [Figure 7] 1 is a contour diagram and a graph of area ratio of an example (No. 4). [Figure 8] 1 is a contour diagram and a graph of area ratio of an example (No. 5). DETAILED DESCRIPTION OF THE INVENTION

[0008] Hereinafter, preferred embodiments of the present invention will be described in detail with reference to the accompanying drawings. In this specification and drawings, components having substantially the same functional configurations are designated by the same reference numerals, and redundant explanations will be omitted. The analysis system of the present invention is an apparatus that performs a finite element method (FEM) on an object such as a floor slab, and then quantifies the results of the finite element analysis.

[0009] 1 is a schematic block diagram of an analysis system according to one embodiment of the present invention. As shown in the figure, the analysis system 100 includes a finite element analysis unit 101 that executes finite element analysis, a class setting processing unit 102 that sets classes for analysis values, a data acquisition unit 103 that acquires map data 111 in which class values ​​are mapped, and a quantification processing unit 104 that quantifies the distribution of class values ​​in the map data 111.

[0010] The analysis system 100 is a computer equipped with a processor such as a CPU (Central Processing Unit), a storage device, a communication device, input / output means, etc., and the above functional parts are realized by the processor operating in accordance with a program. The program is stored in a storage device or a removable storage medium and loaded into the analysis system 100.

[0011] The above-described analysis system 100 may be implemented, for example, by a single computer or may be distributed across multiple computers. Furthermore, at least some of the functional parts of the analysis system 100 may be implemented in one or more server devices, and processing may be performed by sending data or processing requests from client devices.

[0012] FIG. 2 is a flowchart of an analysis method executed using the analysis system 100 shown in FIG. First, the finite element analysis unit 101 performs finite element analysis to perform a structural analysis of the object (step S1). More specifically, the finite element analysis unit 101 models the object, performs element division of the model to divide at least a part of the model into small elements, and quantifies the properties of each small element to obtain analytical values ​​of the finite element analysis. Structural analysis is a method of quantifying and calculating the state of strain, stress, etc., of the internal behavior of an object or building, taking into account the surrounding temperature and humidity environment as necessary. Examples include "temperature stress analysis" and "crack analysis." The object may be, for example, a floor slab. When the object is a floor slab, the analytical value may be, for example, a strain value.

[0013] Next, a region to be quantified is determined from the analytical values ​​obtained by the finite element analysis (step S2). This region may be a two-dimensional region such as the surface or cross section of the object, or a three-dimensional region that includes part or all of the object. For example, a two-dimensional target region can also be determined in an image that two-dimensionally represents the three-dimensional shape of the object, such as a perspective view.

[0014] Next, the class setting processing unit 102 sets classes for the analytical values ​​obtained by the finite element analysis and calculates class values ​​according to the classes (step S3). The classes can be set appropriately based on the range in which the analytical values ​​are distributed. The intervals between the individual classes may be equal or logarithmically equal. The class values ​​are calculated based on the set classes. The class values ​​are values ​​assigned to each individual class, and may be, for example, representative values ​​of the analytical values ​​corresponding to each class, or numbers assigned to classes regardless of the analytical values. For example, if an image generated for reference to the analysis results is used as map data 111, the gradation values ​​of this image can be used as class values. The class values ​​are output as map data 111 mapped to coordinates within the area determined in step S2. The map data 111 is stored in a storage device of the analysis system 100 .

[0015] Next, the data acquisition unit 103 acquires the map data 111 stored in the storage device (step S4).

[0016] Next, the quantification processing unit 104 quantifies the distribution of the class values ​​in the map data 111. Specifically, the quantification processing unit 104 extracts each class value in the map data 111 (step S5), and calculates the area within the region corresponding to each class value (step S6). This makes it possible to calculate the distribution rate of each class value within the region determined in step S2 (step S7). For example, if the map data 111 is an image, by calculating the area for each gradation value of the image, it is possible to calculate the distribution rate of the gradation value relative to the area of ​​the entire map data 111. The calculation of the area can be performed using software that is commonly used for image processing.

[0017] According to the above embodiment, the distribution of class values ​​is quantified in map data 111 in which class values ​​based on the results of finite element analysis are mapped to coordinates within a predetermined region, so that the results of finite element analysis can be quantified using a simpler method than, for example, quantifying the distribution of analytical values ​​of finite element analysis as is.

[0018] Furthermore, by using the map data 111 as an image and the class values ​​as the gradation values ​​of the image, the distribution rate of the class values ​​can be easily calculated by performing predetermined image processing.

[0019] By carrying out the above-described analysis with a floor slab as the object and quantifying the strain value, for example, it is possible to carry out an appropriate crack analysis as in the examples described below. The object is not limited to structures such as floor slabs and metal structures. For example, a flow analysis and a heat conduction analysis may be performed on a fluid by finite element analysis.

[0020] <Example> Next, an embodiment of the present invention will be described. In the example, the present invention was applied to crack analysis of a composite floor slab. Specifically, the crack analysis was performed by performing a finite element analysis on the composite floor slab containing concrete and quantifying the strain values ​​based on a contour image in which the strain values ​​are expressed as grayscale values.

[0021] When analyzing cracks in floor slabs using finite element analysis, it was assumed that large cracks would occur in areas with large strain values ​​(e.g., greater than 0.00275), and small cracks would occur in areas with small strain values ​​(e.g., greater than 0.00025 and less than 0.002). It is known that the more small cracks that occur in floor slab crack analysis, the safer the structure will be. Therefore, in this example, the strain values ​​obtained from the finite element analysis were quantified, and multiple composite slabs were compared based on the above findings.

[0022] FIG. 3 is a cross-sectional view illustrating the configuration of a composite slab 1 (deck slab), which is an example of a floor slab. As shown in FIG. 3, the composite slab 1 has a deck plate 2 and a concrete slab 3 with reinforcing bars 4 arranged inside. The deck plate 2 is, for example, a corrugated steel plate with a plate thickness of 1.0 mm and a crest height of 50 mm, and the concrete slab 3 can be formed by pouring concrete onto the deck plate 2. Note that, although a composite slab is used as the floor slab in this embodiment, this is not limiting, and other structural floors made of reinforced concrete can also be used.

[0023] For comparison, analysis was carried out on five types of composite slabs 1. The specifications of the five types of composite slabs 1 are shown in Table 1. For all composite slabs 1, the slab height H was set to 150 mm. The cover depth T is the shortest distance from the surface of the concrete slab 3 to the outside of the reinforcing bars 4. Expansive additives are concrete admixtures specified in JIS A 6202, for example, and they compensate for shrinkage strain caused by drying shrinkage and temperature changes, reducing cracks.

[0024] [Table 1]

[0025] Of the five types of composite slabs 1, No. 1 is a standard model, while No. 2 has a finer rebar pitch in the concrete slab 3 than No. 1. No. 3 has a type of rebar 4 that has been changed from the standard round cross section to an irregular cross section (specifically, a steel rod with uneven protrusions on the surface). No. 4 has a cover depth T of 50 mm compared to 30 mm in the other models. No. 5 is a model in which expansive material has been added to the concrete.

[0026] Table 2 and Figures 4 to 8 show the analysis results for five types of composite slab 1. Figure 4 and Figures 5(a) to 8(a) are contour maps of models No. 1 to No. 5, respectively, with strain values ​​expressed as image gradation values. The contour maps have 12 strain value classes in increments of 0.00025. The strain value classification is not limited to this and can be changed depending on the computer used in the analysis. Note that Figures 4 and 5(a) to 8(a) are grayscale versions of color images, so different colors may appear in the same gradation. However, the differences in color distribution in each example are clearly visible. Table 2 shows the area ratios for each class. Significant values ​​are underlined in Table 2. Figures 5(b) to 8(b) contain graphs comparing the area ratios for each class of models No. 2 to No. 4 with that of model No. 1.

[0027] [Table 2]

[0028] For example, when comparing the standard model No. 1 with the model No. 2 (rebar pitch 100 mm), it is difficult to quantitatively determine which model is superior, even by referring to the contour images (original color images) (Figures 4 and 5). On the other hand, when comparing the area ratios as shown in Table 2, it can be seen that for large strain values ​​of 0.00275 or more, the area ratio of model No. 2 is smaller than that of model No. 1, meaning that there are fewer large cracks. Also, for small strain values ​​of 0.00025 or more and 0.002 or less, it can be seen that model No. 2 has a larger area ratio. As mentioned above, in crack analysis of floor slabs, it is known that the more fine cracks there are, the safer the structure can be used, so it can be determined that safety will be improved by making the pitch of the rebar finer.

[0029] In addition, it was confirmed that the area ratio of large strains in model No. 3 (deformed steel bars) decreased, and large cracks were reduced. Comparing model No. 1 with model No. 4 (cover thickness 50 mm), it was confirmed that the area ratio of large strain values ​​of 0.00275 or more is larger in No. 4 due to the larger cover thickness (2.367 for No. 1 compared to 5.174 for No. 4), resulting in a higher likelihood of cracks occurring that are harmful to structural performance.

[0030] Furthermore, when comparing model No. 1 with model No. 5 (with expansive material), it was confirmed that the overall strain area was reduced in model No. 5 due to the addition of expansive material to the concrete.

[0031] As described above, the analysis method of the present invention, when considering countermeasures against cracks in composite slabs, can quantify the results of finite element analysis using a simple method from the contour diagram that is the result of the finite element analysis, and can easily demonstrate effects such as reducing cracks that are structurally disadvantageous by making the rebar pitch finer. [Explanation of symbols]

[0032] 1...composite slab, 2...deck plate, 3...concrete slab, 4...reinforcing bar, 100...analysis system, 101...finite element analysis section, 102...class setting processing section, 103...data acquisition section, 104...quantification processing section, 111...map data.

Claims

1. a data acquisition unit that acquires map data in which class values ​​based on the results of the finite element analysis are mapped to coordinates within a predetermined region; a quantification processing unit that quantifies the distribution of the class values ​​in the map data; An analysis system comprising:

2. the map data is an image, The analysis system according to claim 1 , wherein the class values ​​are tone values ​​of the image.

3. The analysis system according to claim 1 , wherein the quantification processing unit calculates a distribution rate of the class value within the predetermined region.

4. The analysis system according to claim 3 , further comprising a class setting processing unit that sets classes for the analysis values ​​of the finite element analysis and calculates the class values ​​in accordance with the classes.

5. The analysis system according to claim 1 , further comprising a finite element analysis unit that performs the finite element analysis.

6. The analysis system according to claim 1 , wherein the finite element analysis is a structural analysis.

7. The analysis system according to claim 6 , wherein the object of the structural analysis is a floor slab.

8. obtaining map data in which class values ​​based on the results of the finite element analysis are mapped to coordinates within a predetermined region; quantifying the distribution of the bin values ​​in the map data; Analysis methods including.

Images