JP2000090070A - Analytic result display method - Google Patents

Abstract

PROBLEM TO BE SOLVED: To make a series of processes quantitative and smooth by defining display points, defined on an analytic model, by an arbitrary regular arranging method and generating display data at the display points from an analytic result. SOLUTION: The analytic result 101 obtained by an analyzer or the like, etc., are fetched as data and on the basis the analytic result 101, a data manager 102 determines display points for analytic result display by a display point defining means 103 to generate display data 104. The display data 104 are displayed by a display means 106, the display points where the data are displayed are specified by an interactive input/output means 109, and the data manager 102 automatically generates a temporary data file 105. From the temporary data file 105, a chart regarding the analytic result 101 at the specified display points is generated through the interactive input/output means 109 and stored in the temporary data file 105.

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

The present invention relates to a numerical calculation result such as a finite element method and a meshless analysis method used for performing a numerical analysis and the like, and a method of displaying another analysis result based on the numerical calculation result. And data processing methods,
In particular, the present invention relates to a calculation result display method and a data processing method for displaying each analysis point when displaying an analysis result.

[0002]

2. Description of the Related Art Conventionally, for example, by a finite element method or the like,
When performing a structural analysis, an analysis result given for each node or an integration point of an element is qualitatively interpolated and displayed to some extent in the entire region to be analyzed using means such as interpolation. In the finite element analysis, stress and strain are often calculated for each integration point. Normally, each node is interpolated by some method and displayed for each node. When calculating the node values and the interpolated values within the elements, errors due to interpolation often occur, which often affect analysis results, subsequent data processing, and accuracy.

[0003]

Therefore, the display of stress, strain and the like has been qualitative. Further, another analysis based on the analysis result may not be performed smoothly due to a difference in a coordinate position to which the analysis result is given. These causes, as mentioned above,
While the displacement is given for each node, the primary derivatives such as stress and strain are given at the integration points for each element, and it is necessary to interpolate the nodes by some means, and interpolation errors are mixed. Also, it is caused by difficulty in arranging nodes at positions designated to know a specific physical quantity, in mesh creation, and in complexity of a process until finally obtaining a necessary analysis result.

Further, as a method close to the present invention, generation of nodes necessary for analysis can be arbitrarily performed by input means such as a mouse, etc., seamlessly from mesh creation, analysis, and display of analysis results using an element-free analysis method. There are also attempts to develop systems that can be implemented in
aintbrush Tool for Element-Free AnalysisSystem, Hi
roshi Okuda, Osamu Hazama, Transactions of JSCES,
Edition 1998Paper No. 19980003).

[0005]

According to the present invention, in order to display an analysis result, a display point defined on an analysis model is used to display a required analysis result in a designated area of interest, and to display the analysis result. And a numerical value analysis result display method for realizing another analysis execution, display and processing based on the analysis result, and a display point definition means for defining the display points by an arbitrary regular arrangement method In addition, a numerical analysis result display method is provided that includes: a calculation unit that creates high-precision display data at the display point from the analysis result.

A display point defining means for defining display points (physical quantity storage and display unit for performing display, processing, and separate analysis) defined in the analysis object for display from the analysis result; Display means, display data summarizing physical quantities and analysis results for each display point, and display point designating means for designating display, processing, separate analysis, and the like in a region of interest to be analyzed Interactive input / output means, visualizing means for processing data of a temporary data file automatically generated by specifying a display point, and calculating means for performing another analysis based on the temporary data file And data conversion means and output means for converting data created, processed, and visualized on the temporary data file for processing (such as OA equipment). Analysis result display method so that there is provided.

In the interactive input / output means, display points and display point groups are designated by input means such as a mouse and a keyboard, thereby displaying a physical quantity display screen for each designated display point. Physical quantity display means.

Further, from the analysis result display screen, a display point and a display point group for which data processing is to be performed are interactively designated, and the physical quantity data of the designated display point group is displayed on a display means for digitally displaying the physical quantity, or in the form of a drawing or the like. The visualization means for creating and displaying the table displays the processed data on a display screen. Or another display preprocessor,
There is provided a means for converting the data into word processor software or the like and outputting the converted data.

Further, when performing another numerical calculation based on the result of the numerical calculation, a display point and a display point group are interactively specified to create a temporary data file. Using this temporary data file, another analysis result 2 can be obtained by the arithmetic means. The analysis result 2 can also be digitally displayed on the physical quantity display screen with respect to the analysis result 2. Further, by performing data conversion by the data conversion means, the data can be output as data to another display post processor, word processor, or the like through the output means. The transfer of these data is performed by the data manager 102.

[0010]

Next, an embodiment of the present invention will be described with reference to the drawings. FIG. 1 consists of the present invention,
FIG. 3 is a configuration diagram illustrating an example of an embodiment of an analysis result display method. In FIG. 1, this analysis result display method first takes in an analysis result 101 obtained by an analysis device or the like as data. The data manager 102 determines a display point for displaying the analysis result by the display point definition means 103 based on the analysis result 101, and creates display data 104.

At this time, the display point is set at the same coordinate position as the node of the analysis result 101 and the integration point of the area integration. If necessary, uniform grid points at arbitrary intervals are set on the display screen and included in the display points in order to uniformly display the screen or display the analysis target.
FIG. 2 shows display points defined on the analysis target. At the display point of the node where the analysis result to be displayed is given,
The display is performed based on the value of the node value of the analysis result as it is.

At a display point of an integration point and a display point that is a uniform grid point, an approximate value at the display point and its derivative are calculated by a moving least squares method based on neighboring node values.
Calculation is performed based on (Equation 1), (Equation 2), (Equation 3), and (Equation 4). The moving least squares method is an approximate function or a function approximation method for deriving a derivative thereof, and the approximate function takes the form of the following equation.

[0013]

(Equation 1)

Here, pi (x) is a polynomial including the spatial coordinates x, and ai is an undetermined multiplier. m represents the number of terms in the polynomial, and can be expressed as follows using the vector {p}. For example, if m = 2,

[0015]

(Equation 2)

When m = 3,

[0017]

(Equation 3)

## EQU1 ## The undetermined multiplier ai can be determined from the stopping condition for minimizing the evaluation function H.

[0019]

(Equation 4)

Here, r is the distance between the evaluation point x and the node I,
m is the number of nodes near the evaluation point x, and w (r) is a weight function defined near the evaluation point.

Using this method, display data 104 for each display point is created. This is displayed by the display unit 106
Display. The display means 106 looks at the display, and if the display is not clear enough, the interactive input / output means 109,
In addition, the display point definition means 103 can increase the number of display points of the grid points or reduce the grid interval to create clearer display data 104 and display it.

By displaying the analysis result by the display means 106, it is possible to grasp a qualitative tendency of the analysis result. If the user wants to know the analysis result at a specific display point, the data manager 102 specifies the display point on the analysis target displayed on the display means 106 by the interactive input / output means 109, and the data manager 102 The temporary data file 105 storing the analysis result at the point is automatically generated, and the digital value of the calculation result at the display point can be displayed by the physical quantity digital display means 107. Further, a chart relating to the analysis result at the specified display point is created from the temporary data file 105 by the visualization unit 108 through the interactive input / output unit 109 in the specified format, displayed, and stored in the temporary data file 105. can do.

Further, the data stored in the temporary data file 105 can be converted by the data conversion means 113 to another post processor or word processor to external software, and output.

As an example, a problem having a crack as shown in FIG. 3 is analyzed. Furthermore, based on this analysis result,
When the fracture mechanics parameter J is evaluated by defining the crack tip position and the integral path around the crack tip, the interactive input / output means 1
09, a temporary data file 105 is created by designating a specific display point group (crack tip position, integration path around the crack tip) based on the display of the analysis result. As one method of the calculation, the stress component near the crack shown in FIG.

[0025]

(Equation 5)

[0026]

(Equation 6)

[0027]

(Equation 7)

Assume that Here, (r, θ) is a polar coordinate system whose origin is the crack tip. Parameter J is

[0029]

(Equation 8)

Is obtained by calculating here,
W, n _j , and ds are the strain energy density,
An outward unit normal vector on the integration path, and a line element.

[0031]

(Equation 9)

Εe and σe are equivalent strain and equivalent stress used under Mises' yield condition. Using the temporary data file 105 for each specified display point obtained by the moving least square approximation and the arithmetic means 111,
These physical quantities and fracture mechanics parameters can be calculated with high accuracy based on (Equation 4) to (Equation 9).

Further, the physical quantities and fracture mechanics parameters obtained here are stored in the temporary data file 105, and are displayed by the display means 106 and the physical quantity digital display means 1.
07, the data can be displayed externally by the data conversion means 113 and the output means 114, and the same processing as the other data of the temporary data file 105 can be performed.

[0034]

According to the embodiments of the present invention described above, according to the present invention, display points are regularly defined in an analysis area with respect to an analysis result given at a specific point of the analysis area such as a node or an integration point. Then, the calculation means 111 recreates the display data for each display point using, for example, the moving least squares method, and outputs the analysis result via the interactive input / output means 109 such as a mouse, a keyboard, a display, and a printer. From the display of 101, in addition to the designation of the display point, necessary information is given to display the physical quantity for each designated display point, create another analysis data based on the designated display point data, and display the analysis result , A series of processes can be performed quantitatively and smoothly.

[Brief description of the drawings]

FIG. 1 is a system configuration diagram illustrating an analysis result display method according to the present invention.

FIG. 2 is a diagram showing display points according to the display method of FIG. 1;

FIG. 3 is a diagram showing evaluation of fracture mechanics parameters of the present invention.

[Explanation of symbols]

101: analysis result, 102: data manager, 103
... Display point definition means 104, display data 105, temporary data file 106, display means 107
... Physical quantity digital display means, 108 ... Visualization means, 1
09: interactive input / output means, 111: arithmetic means, 112 ...
Analysis results 2, 113: data conversion means, 114: output means, 115: analysis data, 201: display screen, 202
... Analysis target, 301 ... Crack, 302 ... Integration path, 303
... the crack tip.

Claims (1)

[Claims] 1. A display data is created from an analysis result by numerical analysis, the analysis result is displayed on a display, a printer, or the like, and a partial area of the analysis result is designated by using an input means. In a method of creating data for analysis for another analysis, a process of defining a display point as a display unit inside and at a boundary of an analysis target, and a process of creating analysis data for display for each display point , A process of displaying analysis data, a process of specifying a partial area of the analysis data using input / output means,
An analysis result display method including a process of extracting analysis data of a specified area and displaying a physical quantity at a display point in the specified area by a numerical value, and a process of creating analysis data for another analysis.