JPH05282407A - Display method for numerical analysis - Google Patents

Abstract

PURPOSE:To improve efficiency for numeric calculation by shortening the working time of an operator by displaying a calculation result by using a simplified display model automatically generated based on an analytic model used in calculation. CONSTITUTION:When the operator selects the generation of a new simplified display model (4), a computer automatically generates the simplified display model based on analytic model data (8). and stores it as simplified display model data (10). Thence, the calculation result for simplified display model is generated (6) from the calculation result (9). At this time, the calculation result is generated so as to conform to the simplified display model data (10), and a calculation result (11) for simplified display is outputted. The display of the calculation result is performed (7) by using the simplified display model data (10) and the calculation result (11) for simplified display. Thereby, since the number of elements which form a display target can be reduced, a time required for the display can be shortened.

Description

Detailed Description of the Invention

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a display method for numerical analysis, and particularly, by displaying the analysis result on a simplified display model obtained by simplifying the analysis model used for the analysis, the time required for the display is shortened. Display method for numerical analysis.

[0002]

2. Description of the Related Art A conventional method of displaying a numerical analysis result will be described. First, a method of displaying the analysis model will be described. Here, the display method of the analysis model will be described by taking the stress analysis of the perforated flat plate in FIG. 22 as an example. Generally, in the case of an object having symmetry in both shape and load condition, such as the perforated flat plate in FIG. 22, the 1/4 part shown in FIG. 23 is modeled as an analysis target. In FIG. 23, the boundary conditions necessary for the analysis are also shown. That is, FIG.
The displacement in the y direction is defined as 0 on n ₁ n _{2 of} 3, and the displacement in the x direction is defined as 0 on n ₄ n ₅ . Further, it is specified that a load of size p acts on n ₂ n ₃ . Furthermore, the x direction on n ₁ n ₂ ,
It is specified that no load is acting in the y direction on n ₂ n ₃ , the x and y directions on n ₃ n ₄ and n ₅ n ₁ , and the y direction on n ₄ n ₅ .

An example of an analytical model for the finite element method of the portion shown in FIG. 23 is shown in FIG. The analysis model of FIG. 2 is defined as a collection of elements. FIG. 2 is an analysis model of the finite element method.
There are 8 types. As shown in FIG. 28, the element for the two-dimensional problem has a triangular shape or a quadrangular shape depending on the number of nodes forming the element.
Further, a straight line or a quadratic curve can be used as a line defining each side according to the number of nodes on each side of the element.

The following method has been conventionally used for displaying the finite element method analysis model as shown in FIG. That is, the contour line of each element is sequentially drawn, and when the contour lines of all the elements are drawn, the whole analysis model is drawn. In this case, when the element forming the analysis model is an element having a curved contour line, the contour line of the element is expressed as a set of several straight lines. In other words, the analytical model is displayed by drawing a large number of straight lines.

Next, an example of display of analysis results after performing stress analysis using the three-dimensional analysis model shown in FIG. 24 is shown. (A) Display of deformation diagram (line display) FIG. 25 is an example in which the deformation of the analysis target is indicated by a broken line, and when the deformation is curved, the curve is displayed as a group of many straight lines. (B) Display of Deformation Diagram (Surface Display) FIG. 26 is an example in which the deformation to be analyzed is displayed as a combination of faces. When the deformation is a curved surface, the deformation state is displayed as a combination of many planes. There is. (C) Display of stress distribution (line display) FIG. 27 is an example showing the stress distribution state of the analysis target, and the stress distribution is represented by contour lines. (D) Display of stress distribution (surface display) In addition to the above (a), (b), and (c), the stress distribution to be analyzed is represented by contour lines that are colored between the lines. There is also a method.

In all of the conventional calculation result display methods, deformation diagrams, stress distributions, etc. are displayed for each element of the analysis model, and the calculation results are mainly displayed in beautiful and detailed manner. Emphasis on that. Therefore, in the conventional method of displaying the calculation result, when the number of elements is very large, the time required for the display is inevitably long, and sufficient consideration is not given to displaying the calculation result at high speed.

[0007]

The purpose of displaying the calculation result is not only to display the calculation result in an easy-to-understand manner, but also to evaluate the validity of the calculation result. That is, the display of the calculation result is used for examining the validity of the boundary conditions used for the calculation, the validity of the physical property values such as the material constants applied to the analysis model, and the validity of the element division of the analysis model. In such a case, the calculation result is displayed by various methods, and the displayed result is examined or a hard copy is taken. Therefore, when displaying the calculation result for the evaluation of the validity of the calculation result, the operator is generally involved in displaying the calculation result. Therefore, if the time required to display the calculation result is long, the work time of the operator becomes long. In particular, considering that the time required for the numerical calculation itself has been significantly shortened due to the improvement in the performance of the computer in recent years, it takes a long time to examine the calculation result, which greatly reduces the efficiency of the numerical calculation.

An object of the present invention is to reduce the time required to display the calculation result for the purpose of evaluating the validity of the calculation result, shorten the working time of the operator, and improve the efficiency of numerical calculation. To provide a display method.

[0009]

In order to achieve the above object, the first invention of the present application is to create an analysis model consisting of a large number of elements corresponding to an object to be analyzed and store model data of this analysis model. Then, in the numerical analysis display method in which the model data is extracted, numerical calculation is performed on the analytical model, and the calculation result is displayed on the display model by a display device, the number of elements is reduced by using the model data of the analytical model. A display method for numerical analysis, characterized in that a display model is created, a calculation result for a simple display model is created based on the calculation result, and the created calculation result for the simple display model is displayed on the simple display model by a display device. Regarding

A second aspect of the invention is to create an analytical model consisting of a large number of elements corresponding to an object to be analyzed whose physical state is to be analyzed, and use the model data of the analytical model to execute numerical calculation for the analytical model. Then, in the numerical analysis display method of displaying the calculation result on the display model by the display device,
Using the model data of the analysis model, for each element constituting the analysis model, the direction and the number of integration with adjacent elements are specified to perform element integration, and a simple display model with a reduced number of elements is created. The present invention relates to a display method for numerical analysis, characterized in that a calculation result for a simple display model is created based on the calculation result and is displayed on the simple display model by a display device.

A third aspect of the invention is to create an analytical model consisting of a large number of elements corresponding to an object to be analyzed, store the model data of this analytical model, and use the model data to perform numerical calculation of the analytical model. In the display method for numerical analysis which executes and displays the calculation result on the display model by the display device, a simple display model in which the number of elements is reduced by integrating the adjacent models using the model data of the analysis model is created. If the numerical calculation results have been calculated for the nodes of each element of the analysis model, the calculation result for the simple display model is created using only the calculation results corresponding to the nodes of each element of the simplified display model after integration. If is calculated for the center point (or integration point) of each element of the analysis model, the center point (or integration point) in the simplified display model element is calculated by interpolation. ) To create a computed for simple display model for, a display method for numerical analysis and displaying on a simple presentation model of the display device the calculation results for simple display model created.

[0012]

In the case of the calculation result display method according to the present invention, the number of elements to be displayed is greatly reduced in the simple display model as compared with the analysis model used in the calculation, so that the time required for the display is also significantly large. Can be shortened to Therefore, when displaying the calculation results for examining the validity of the boundary conditions used for the calculation and the validity of the analysis model, the time for displaying the calculation results by various methods is significantly shortened. The operator is involved in displaying the calculation result with care, and the working time of the operator who evaluates the validity of the calculation result can be significantly reduced.

[0013]

【Example】

(I) Overall Configuration Hereinafter, a method of displaying calculation results according to the present invention will be described with reference to the drawings. FIG. 1 is a flowchart showing the overall configuration of the present invention. In FIG. 1, reference numeral 1 denotes a portion for creating an analysis model as shown in FIG. 2, which is executed by an operator using an input / output device such as a graphic terminal, and 8 stores analysis model data. Reference numeral 2 is a portion for reading the analysis model data of 8 and executing numerical calculation such as stress analysis. The computer executes the calculation and stores the calculation result in 9. Three
Then, the operator determines whether to use the simple display model for displaying the calculation result or the like, and in 4, the operator determines whether to newly create the simple display model. In 5,
If you choose to create a new simple display model in step 4,
The computer automatically generates a simple display model as shown in FIG. 3 based on the analysis model data 8 and stores it in 10 as the simple display model data. In 6, from the calculation result of 9,
Create the calculation result for the simplified display model. At this time, 10
The calculation result for the simple display model is created so as to correspond to the simple display model data of, and the calculation result for the simple display of 11 is output. In 7, when 10 is selected to use the simple display model, 10 simple display model data and 11 calculation results for the simple display are used, and when 3 is selected not to use the simple display model, numerical analysis is performed. The calculation result is displayed by using the analysis model data itself of 8 used in the above and the calculation result of 9. FIG. 1 is a flowchart showing the whole method of displaying calculation results according to the present invention.

Next, a specific method in the two-dimensional problem of creating the simple display model 5 in the flowchart of FIG. 1 will be described. What is used for the explanation is the analytical model for the finite element method of the perforated plate in FIG. The finite element method analysis model is configured as a set of quadrilateral elements as shown in FIG. 5, and each element is given a number called an element number. The analysis model of FIG. 4 also shows the element number (the number displayed at the center of the element is the element number).

The element is composed of points called nodes. For example, in the case of the quadrilateral element in FIG. 5, there are nodes at four corners of the quadrilateral. Further, in the case of the quadrilateral element as shown in FIG. 6, a node exists at the corner of the quadrilateral and the center of each side. Further, the quadrilateral element in FIG. 5 is composed of four sides, and a number is defined for each side. 5 and 6
The number attached to each side of the quadrilateral element is the side number.

In the creation of the simplified display model according to the present invention, the simplified display as shown in FIGS. 3 and 7 is made from the analysis model shown in FIG. 4 using the side numbers shown in FIGS. 5 and 6 by the following procedure. Automatically generate a model. a) Search for an element (element number is x ₁ ) in contact with edge number 1 of the element number 1. In addition, the elements that the sides are in contact with each other mean elements that share nodes at both ends of the sides.

A-1) Element number 1 and element number x ₁
Elements are integrated and the element number is set to 1. (FIG. 8) a-2) Both the element number 1 and the element number x ₁ are recorded as being integrated. b) It is determined whether the element with the element number 2 has been integrated. b-1) If the element with the element number 2 has been integrated, proceed to c).

B-2) If the element with the element number 2 has not been integrated yet, the element (element number is x ₂ ) adjacent to the side number 1 of the element with the element number ₂ is searched for. b-3) The element of element number 2 and the element of element number x ₂ are integrated, and the element number is set to 2. (FIG. 9) b-4) Record that both the element number 2 and the element number x ₂ have been integrated.

C) It is determined whether the element with the element number 3 has been integrated. C-1) If the element with the element number 3 has been integrated, proceed to d). c-2) If the element with the element number 3 has not been integrated yet, search for an element (element number is x ₃ ) adjacent to the side number 1 of the element with the element number ₃ . c-3) The element of element number 3 and the element of element number x ₃ are integrated, and the element number is set to 3. (FIG. 10) c-4) Record that both the element number 3 and the element number x ₃ have been integrated.

D) It is determined whether the element having the element number 4 has been integrated, and thereafter, the same operation is repeated for all the elements. The simple display model automatically generated by the above procedure is shown in Fig. 1.
It is 1. In the above procedure, the edge number 1 of each element is used as the element integration criterion, and the element in contact with the edge number 1 is the integration target. However, in addition to the simple display model of FIG. If the side number 2 is used and the elements in contact with the side number 2 are integrated, the simple display model of FIG. 3 can be automatically generated.

Further, if the element number 1 and the edge number 2 of each element are repeatedly used as the element integration reference and the element integration is repeated, the simple display model of FIG. 7 can be created from the simple display model of FIG. it can. Compared to the analysis model of Fig. 4, which is the prototype of simple display model creation, the simplified display model in Fig. 7 has about 1/16 the number of elements and nodes, and the display time is also reduced to about 1/16. it can. Therefore, the determination of the analysis conditions and the verification of the validity of the analysis model can be performed very quickly and effectively, and the time required for the operator to determine the analysis result can be greatly reduced. Information about the integration direction (edge number in the two-dimensional problem) and the number of integrations of such elements is input at 12 in FIG. At this time, a device such as a keyboard, a light pen, or a mouse may be used as an input device for information regarding element integration,
Alternatively, information on element integration can be input from a file created in advance. It is possible to automatically create various simple display models of analysis results by changing information such as the integration direction and the number of integrations, which is the information of such element integration. This means that a simple display model suitable for the information required by the operator involved in checking the analysis results can be automatically created, and an appropriate simple display model that takes into account the balance between display accuracy and display time was used. The result can be displayed.

Next, a specific method for the three-dimensional problem of creating the simple display model 5 in the flowchart of FIG. 1 will be described. For the explanation, FIG. 13 which is an analytical model of the tensile problem of the notched prism of FIG. 12 is used. The analysis model of FIG. 13 is configured as a collection of hexahedral elements as shown in FIG. 14, and each element is numbered as an element number.

Now, the hexahedral element as shown in FIG. 14 is composed of six faces, and the numbers are defined for each face. The numbers given to the faces of the hexahedral elements in FIGS. 14 and 15 are the face numbers. In the creation of the simple display model according to the present invention, in the case of a three-dimensional problem, the surface number shown in FIG. 14 or FIG. Such a simple display model is automatically generated.

A) Search for an element (element number is x ₁ ) that is in contact with the surface number 1 of the element number 1. The elements in contact with each other mean elements that share nodes at the four corners of the surface. a-1) The element with the element number 1 and the element with the element number x ₁ are integrated, and the element number is set to 1. (FIG. 18) a-2) Both the element number 1 and the element number x ₁ are recorded as integrated.

B) It is determined whether or not the element of element number 2 has been integrated. B-1) If the element of element number 2 has been integrated, proceed to c). b-2) If the element with the element number 2 has not been integrated yet, search for an element (element number is x ₂ ) that is in contact with the surface number 1 of the element with the element number ₂ . b-3) The element of element number 2 and the element of element number x ₂ are integrated, and the element number is set to 2. (FIG. 19) b-4) Both the element number 2 and the element number x ₂ are recorded as being integrated.

C) It is determined whether the element with the element number 3 has been integrated. C-1) If the element with the element number 3 has been integrated, proceed to d). c-2) If the element with the element number 3 has not been integrated, search for an element (element number is x ₃ ) that is in contact with the surface number 1 of the element with the element number ₃ . c-3) The element of element number 3 and the element of element number x ₃ are integrated, and the element number is set to 3. (FIG. 20) c-4) Both the element number 3 and the element number x ₃ are recorded as being integrated.

D) It is determined whether the element having the element number 4 has been integrated, and thereafter, the same operation is repeated for all the elements. The simple display model automatically generated by the above procedure is shown in FIG.
It is 1. In the above procedure, the surface number 1 of each element is used as the element integration standard, and the element in contact with the surface number 1 is the integration target. However, in the simple display model of FIG. 21, the surface of each element is used as the element integration standard. If the elements that are in contact with the surface number 2 are integrated using the number 2, and the surface number 3 of each element is used as a reference for element integration and the elements that are in contact with the surface number 3 are integrated, the simplified display model of FIG. Can be generated.

Further, if the element number is repeatedly used by using the surface number 1, the surface number 2, and the surface number 3 of each element as the element integration reference, the simple display model of FIG.
A simple display model of can be created. The simple display model of FIG. 17 is a prototype of the simple display model creation.
The number of elements and the number of nodes are about 1/64.
The display time can be reduced to about 1/64. Therefore, in the three-dimensional problem, the determination of the analysis condition and the verification of the validity of the analysis model can be performed very quickly and effectively as compared with the two-dimensional problem, and the time required for the operator to determine the analysis result can be significantly reduced. ..

Next, the creation of the simplified display calculation result executed in 6 of FIG. 1 will be described with a specific example. In 6, from the calculation result of 9 which is the output of the numerical calculation using the analytical model,
Create the calculation result for the simplified display model. At this time, the calculation result for the simple display model is created by the following procedure so as to correspond to the simple display model data, and the calculation result for the simple display 11 is output.

In the numerical calculation such as the finite element method, the calculation result is output as a value at any of the following positions. Therefore,
A specific method of creating simple display data will be described for each case where the data is output to each position. (A) Position of node In this case, the result for the simplified display model of FIG. 30 is created from the result at the position of node of the analysis model of FIG. 29 as follows. That is, the positions (a to i) of the nodes in FIG.
Of the calculation results output to, only those corresponding to the nodes forming the simple display model in FIG. 30 are the results for the simple display model. That is, the node a in the simple display model,
Only the results of c, g and i are output as the results for simple display. (B) Element center In this case, the result for the simplified display model of FIG. 32 is created from the result at the element center of the analysis model of FIG. 31 as follows. That is, the centers (a to d) of the elements in FIG.
By interpolating the calculation result output to, the value at the center of the element of the simple display model of FIG. 32 is obtained, and this is used as the result for simple display. That is, the center point x of the element in the simple display model
Only the result of is output as the result of the simple display model. (C) Integral point in element In the finite element method, calculation results such as stress may be output to a specific position called an integral point. In this case,
The result for the simplified display model in FIG. 34 is created from the result at the integration point in the element of the analytical model in FIG. 33 as follows. That is, the calculation result output to the integration points (a to p) in the elements of FIG. 33 is interpolated to obtain the value at the integration point of the simple display model of FIG. 34, and this is used as the result for simple display. .. That is, the integration point y ₁ in the element in the simple display model,
Only the results of y ₂ , y ₃ , and y ₄ are output as the result of the simple display model.

[0031]

According to the present invention, since the calculation result is displayed by using the simple display model automatically generated based on the analysis model used for the calculation, the number of elements to be displayed is greatly reduced and The time required is greatly reduced. Therefore, when displaying the calculation results for examining the validity of the boundary conditions used for the calculation and the validity of the analysis model, the time for displaying the calculation results by various methods is significantly shortened. The operator is involved in displaying the calculation result with care, and the working time of the operator who evaluates the validity of the calculation result can be significantly reduced. This makes it possible for skilled engineers who can evaluate the validity of calculation results to be involved in more analysis, which is a major industrial advantage that greatly contributes to the improvement of reliability, performance, function, etc. of all industrial products. Occurs.

[Brief description of drawings]

FIG. 1 is a flowchart showing a display method for numerical analysis according to the present invention.

[Fig. 2]

[Fig. 3]

[Fig. 4]

[FIG. 5]

FIG.

[FIG. 7]

FIG. 8

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FIG. 11

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FIG. 13

FIG. 14

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FIG. 21 is a diagram illustrating a numerical analysis display method according to the present invention.

FIG. 22:

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FIG. 28 is a diagram illustrating a conventional method of displaying calculation results.

FIG. 29:

FIG. 30:

FIG. 31:

32] FIG.

FIG. 33:

FIG. 34 is a diagram illustrating a numerical analysis display method according to the present invention.

Claims (3)

[Claims] 1. An analysis model composed of a large number of elements corresponding to an analysis object is created, model data for this analysis model is stored, the model data is extracted, and numerical calculation is performed for the analysis model. In the display method for numerical analysis for displaying on a display model by a display device, a simple display model with a reduced number of elements is created using the model data of the analysis model, and the calculation result for the simple display model is calculated based on the calculation result. A display method for numerical analysis, characterized in that the created calculation result for the simple display model is displayed on the simple display model by a display device. 2. An analytical model composed of a large number of elements corresponding to an analytical object whose physical state is to be analyzed is created, and numerical calculation of the analytical model is executed using model data of the analytical model, and a calculation result is obtained. In a display method for numerical analysis for displaying on a display model by a display device, by using the model data of the analysis model, element integration is performed by designating the direction and the number of integrations with adjacent elements for each element forming the analysis model. By performing the above, a simple display model with a reduced number of elements is created, a calculation result for the simple display model is created based on the calculation result, and this is displayed on the simple display model by a display device. Display method. 3. An analysis model composed of a large number of elements corresponding to an analysis target is created, model data of this analysis model is stored, and numerical calculation is executed for the analysis model using the model data, and calculation is performed. In the numerical analysis display method of displaying the result on the display model by the display device, a simple display model in which the number of elements is reduced by integrating adjacent models using the model data of the analysis model is created,
If the numerical calculation results are calculated for the nodes of each element of the analysis model, the calculation result for the simple display model is created using only the calculation results corresponding to the nodes of the simple display model elements after integration, and the numerical calculation is performed. If the result is calculated for the center point or integration point of each element of the analysis model, a simple display is made by the interpolation method. A simple display model calculation result is created for the center point or integration point of the model element. A display method for numerical analysis, characterized in that the calculation result for the model is displayed on a simple display model by a display device.