JP2013061837A - Flux line visual display system and device - Google Patents

Abstract

PROBLEM TO BE SOLVED: To display flux lines by obtaining a flux line with a main stress vector in a structure obtained by a structural analysis result or the like used as a tangent line, using a numerical geometric method.SOLUTION: The flux line visual display system combines a main stress vector at a representative point of any structure element of the surface and the inside of a structure with a main stress vector at a point group adjacent thereto, and obtains a flux line that is so generated that a tangent line of the flux line passing through the point matches the main stress vector direction of the point, by a numerical geometric method. By taking account of a change in a parameter of a main stress due to a position of each point, a force flow in which the main stress vector becomes a tangent line of the flux line is drawn using a processing capacity of a computer. To further improve understanding of the drawn force flow, features of curves to become flux lines are obtained and a curvature of the curve at each point of the flux line, intensity of the main stress of the tangent line on the curve, and the like are visually expressed.

Description

      The present invention relates to a structure expression system for specifying a flow of force transmitted through a structure to which an external force is applied by structural analysis and measurement, and an apparatus for displaying and cooperating with the structure expression system.

  The computing power of computers has been dramatically improved, and analysis software for predicting the strength of manufacturing is put into practical use. If the shape, material, etc. of an object to be manufactured are proposed, the evaluation of the structure can be roughly predicted even when the object is not realized. That is, items related to strength and function such as deformation and stress can be derived a priori, and if the structure is determined in advance, the function of the structure can be grasped predictably.

Conversely, the creative work of finding the structure from the required functions is difficult. If the question is what kind of structure is good, it is almost impossible to derive such a creative requirement directly from analysis software such as structural analysis. Currently, there are inductive methods using the sensitivity of rigidity to stress and deformation, etc. or using genetic algorithms, various structures are set, the function of the structure is investigated and repeated, It is a technique to derive the optimal solution by making the tendency a rule. If the basic structure is roughly determined, the optimization of the shape or size can be obtained by an iterative method.

  Regarding the optimization of the phase, that is, the basic structure, some existing software exists by setting the change of the structure to a certain extent and repeating the process of analytically obtaining the function of the structure. However, in order to obtain an appropriate solution, there are many cases in which appropriate modeling and setting of the degree of structural change are performed. When the structural change is increased, problems such as instability of the obtained solution, complicated structural solutions that are difficult to interpret (difficult to make, difficult to use, etc.), and unclear security for optimal uniqueness appear. Furthermore, to achieve this generally requires a tremendously large computational scale and operations to handle it.

In addition, it is unclear why the resulting solution is structurally structured, and know-how such as what happens when a part of the solution is changed due to design constraints cannot be obtained. In this way, creative examination is a groping state. Therefore, it is necessary to think and execute it while searching for a more appropriate iterative analysis method, and a predictive structure cannot be automatically proposed.

  In order to carry out efficient creative manufacturing, it is necessary to understand the features and mechanisms of the structure to be proposed, reveal the weaknesses of the features of the structure, and deductively find ways to compensate for them. . The process of creating, thinking, and grasping the essence of the target structure is important. The present invention is a system and apparatus for realizing a support tool for performing such a sinking.

Japanese Patent Laid-Open No. 9-212683 (visualization information is calculated from the behavior data of the constituent elements of the numerical analysis result and displayed on the display screen. Specific behavior is not specified.) Japanese Patent Laid-Open No. 2001-236377 (a plotting apparatus having means for plotting only the stress of a plate element) International Publication Number W02007 / 052784 (Domestic: Japanese Patent Application 2005-321695) (Deformation from the load point to the target point and internal stiffness are obtained from the structural analysis data, and the stiffness index U * at that point is calculated from the relational expression between the two, It is a proposal of a method to find the load transmission path from the distribution of the size) International Publication Number W02008 / 105221 (Domestic: Japanese Patent Application No. 2007-49275) (From the structural analysis data, the strain from the load point to the target point and the local strain energy from the load (stress) from the fixed and unfixed time ratio of the target point (It is a proposal of a method to find the load transmission path from the distribution by calculating U **, which indicates the ease of strain energy generation) Japanese Patent Laid-Open No. 8-83304 (Proposal on structure optimization method with ribs in the direction perpendicular to the contour line from the stress contour map obtained by structural analysis)

Hiroshi Okamura and Hiroaki Hayashida “Approach from Function to Structure in the Upper Stage of Development Design: A Trial to Thinking CAE Method” The Annual Meeting of the Japan Society of Mechanical Engineers (2002) Hiroshi Okamura and Koaki Hayashida “Sinking CAE Recommendation” Simulation Vol. 25, No. 4 Special Feature Japan Society for Simulation Technology (December 2006) Prof. Hiroshi Okamura and Hiroshi Hasegawa “Thinking CAE from an Educational Perspective” Proceedings of Computational Engineering Vol.13 Computational Engineering Society (May 2008) Hiroshi Okamura and Hiroaki Hayashida "Dynamic Thinking CAE-Synthesis from Function to Structure" No.03-04 Symposium Automobile Engineering Society (January 2004)

  The problem to be solved is to visualize the flow of force acting on the structure when performing a predictive analysis on the deformation and strength of the basic structure in a creative study proposing a new structure. is there. By using this together with conventional stress distribution diagrams, principal stress distribution diagrams (FIGS. 14 and 15), strain energy distribution diagrams, etc., it is possible to clarify the mechanism of force action. Up to now, there have been many methods for finding the point or region with the largest stress value from the stress contour map and reinforcing it as insufficient rigidity in coping therapy. The idea found in Patent Document 5 is one of these techniques.

In addition, the method of paying attention to the load transmission path proposed in Patent Literature 3 and Patent Literature 4 also pays attention to the strain, and the method of reinforcing from the distribution map based on the characteristics relating to the strain energy taking into account the local rigidity and stress is also proposed. . These are often effective as appropriate structural changes, but are not necessarily methods that cover all structural optimizations. There are many cases where the balance of the flow of force changes due to myopic reinforcement and a high-stress portion is generated.

The way of force flow (Fig. 12) should be understood and appropriate structural changes (Fig. 13) should be considered from the overall flow pattern. The conventional method of displaying the structural analysis results alone has a limit in conducting an appropriate examination, and many trials and errors are repeated as many structural changes as possible. Engineers with deep experience know many cases and can often get to the correct structural changes, but they are uncertain and are a high hurdle for engineers with little experience. Yes.

Therefore, there is a need for a more appropriate technique for general structural changes. Non-Patent Document 1, Non-Patent Document 2, and Non-Patent Document 3 Thinking CAE (Computer Aid Engineering: Engineering Method that Utilizes Technical Calculations) is a variety of charts, distribution maps, and contour maps that have been utilized so far. It proposes a method of grasping by combining and considering the essence and characteristics of the structure of the object. However, the conventional diagram shows to some extent what loads and deformations have been applied to the structure and what the structure has resulted in. However, it is helpful to clarify why this is the result. The current problem is that no method is available.

Specifically, details of the idea by grasping the flow of force are described in the method of thinking CAE shown in the literature. Sinking CAE recommends creating a force flow as a force line. However, it was not practical to create this work by accurately investigating the flow of this force and examining the characteristics of the structure in detail. In some cases, it was inaccurate and unstable work, such as drawing force lines in the wrong direction, and it was difficult to handle except for engineers with advanced judgment skills. 14 and 15, it can be understood that it is quite difficult to accurately produce a three-dimensional force line from these principal stress diagrams.

Here, the principal stress vector (FIGS. 2 and 3) at the representative point of any structural element 1 on the surface of the structure is combined with the principal stress vector at the neighboring point group (FIG. 10), and the point is A force line (FIG. 9) generated so that the tangent line of the passing force line coincides with the principal stress vector direction of the point is obtained using a numerical geometric method. In a three-dimensional object, there are three lines of force (FIG. 2) perpendicular to each other that pass through one point. Further, in a two-dimensional expression or model on a cross section or surface, there are two orthogonal lines (FIG. 3). When displaying the lines of force, it is easier to understand the structure by adopting various methods that can simultaneously express the magnitude and sign of the principal stress vector.

Moreover, when calculating the locus of the line of force, in the structural analysis such as the finite element method, the principal stress at the representative point can be obtained for each divided element. In general, if the size of the segmentation element and the degree of change in stress are adequately matched, the reliability of the structural analysis results can be ensured, but similarly, from the point cloud indicating the distribution of principal stress obtained. It is possible to similarly evaluate the accuracy of creating the field lines. However, a more accurate force line can be obtained by interpolating the principal stress of the point group in a region where the change of the force line is large. The change in curvature and size of the force line has an important physical meaning, and it is meaningful to improve the accuracy of the differential element component of the force line.

In the following, a method for creating a force line from the distribution of principal stress vectors will be described.
(1) The principal stress vector (Figs. 2 and 3) in the structure obtained from the structural analysis results (in some cases, using some measured values), etc. Grasping it as a mechanical parameter and taking into account changes in the principal stress parameter due to the position of each point, draw the force flow so that the principal stress vector is tangent to the force line using the processing power of the computer (Fig. 9).

(2) The display of these force flows may be expressed in two dimensions on a plane such as a cross section, surface, or curved surface, but in principle, it is displayed in three dimensions. At that time, the display of the force flow is displayed on a graphic screen of a computer using a conventional three-dimensional display method. Similarly, the display of a representative cross section and the flow of force on the surface is also possible using the conventional display method.

(3) In addition, in order to deepen the understanding of the drawn force flow, the characteristics of the curve that becomes the force line are captured, and the curvature of the curve at each point on the force line, the magnitude of the principal stress of the tangent line on the curve, etc. By visually expressing it, more information can be grasped visually. That is, visually quantitative information can be directly read using the thickness of the force line, cross-sectional shape, color, and the like.

 (4) In addition, when all the groups of force lines independent of each other in the three-axis direction in the three-dimensional display are displayed, it is difficult to read the characteristics of the structure from there. It is practically important to provide a function for appropriately setting the number of force lines and the type of force line group.

(5) Here, there are the following two expression methods as the expression method of the force line. First, the line of force does not adopt the concept of stress (force / area) in its characteristics, has no cross-sectional area, and has a positive or negative sign and magnitude with respect to a constant force that is set. The force line represents the force flow in the direction of the principal stress vector in the tangential direction, and the magnitude of the principal stress is the unit cross-sectional area perpendicular to the force line at that point. Expressed by the number of per-field lines. Second, the force line is defined and displayed as a “double-force line” that has the strength (stress) per unit area as a characteristic, and the force line is the tangential direction of the principal stress vector. It represents the direction of force flow, and at the same time, each point on the line of force has characteristics of the magnitude of the main stress, and the magnitude of the stress is the area of the cross section of the force line, the size of the shape, color, tint, transparency Etc. are expressed visually.

(6) The relationship between “single force lines” and “double force lines” depends on how many “single force lines” are included in the unit area perpendicular to the force lines at points on a certain force line in the structure. The principal stress value of the “double-force line” is determined. There are cases where double force lines include both positive and negative single force lines. In addition, to increase the accuracy of the main stress value and increase the number of significant digits, it can be achieved by reducing the constant value of the “single-strength line” force. Are in a reverse effect.

(7) When drawing a force line with the above-mentioned method for both “single force line” and “double force line”, where to start drawing the force line is an issue. In the present invention, only the basic system is claimed, and various systems can be freely devised. The starting point for drawing the lines of force is the load point or surface, the support point or surface, the maximum value of the maximum principal stress or the minimum principal stress, the local peak value, the point having an arbitrary or constant characteristic, A cross section, a concentrated stress portion, a region with structural damage, and the like are considered. For example, from a single or a plurality of point groups, three lines in a solid and two lines in a plane are extended to force lines perpendicular to each other, and on the force lines, For example, a starting point is set by introducing arbitrary or constant regularity, and a force line is added in a mesh pattern.

In particular, in the case of a single-strength line, when the principal stress is large, the pitch of the starting point for generating a force line is made fine by the magnitude of the local principal stress on or near the force line, or by the curvature of the force line. By gathering many single force lines, it becomes a method to get a visual understanding. In the double-force line, it changes in a complicated manner in relation to other principal stresses orthogonal to each other due to the approach of the single-force line and the change of the stress surface. The definition is complicated, but the behavior is complex, but there is no significant difference in the creation of force lines in the somewhat discrete point cloud of structural elements such as the finite element method, and the overall force of the target structure is not. The flow can be drawn in an easy-to-understand manner.

  The structural mechanical properties of the structure are grasped by tension / compression (FIG. 5), shear (FIG. 6), bending (FIG. 8), torsion (FIG. 7), and their combined form, etc., depending on the arrangement pattern of principal stresses. Thus, it is possible to specify the evaluation on the strength, deformation, durability, plasticity and the like of the material. Once the behavior due to loading on the structure as described above is fully or partially clarified, a complex actual structure (FIGS. 14, 14) can be obtained if the typical structural mechanical essence of the simple model in the pattern is well understood. It is easy to sink the response in 15). Therefore, by accurately knowing the flow of force due to the display of the force lines, it is possible to roughly determine the strategy for optimizing the structure. Rather than repeating various structural changes as you think, using techniques that support this approach to approaching the structure can dramatically improve the efficiency of analysis work and reach a higher level. This is a support method that can drastically reduce the examination time and can be handled even by non-expert engineers.

  According to the present invention, as shown in FIG. 12, when the flow of force is known from the distribution of the main stress and the pattern of the force line can be grasped, the basic structure along the trajectory of the main force line as shown in FIG. When the skeleton is set, a light weight structure is obtained in which the strength against the load is equal and unnecessary portions are deleted.

In addition, when aiming to reduce the weight of a three-dimensionally curved thick plate structure as shown in FIGS. 14 and 15, a force line having a complicated pattern is not necessary as in the above example (FIG. 12). It becomes. Here, since the rough force flow can be understood from the principal stress vector distribution obtained by the finite element method, the rough structure mechanism will be described. In the vicinity of the external force, a small bending pattern is shown above the shearing force, and in the region away from the external force, a bending-dominant pattern is seen due to the bending moment multiplied by the external force and the distance to the external force. Further, the region bent three-dimensionally at right angles is mainly shear stress as shown in FIG. 11, and the torsion pattern is the main role. From then on, in the region reaching the fixed end, a pattern in which bending and twisting are combined is seen. There is a reasonable structure for each region. When the force lines are obtained, the characteristics of the general structure described here can be grasped more accurately, and accordingly, a more rational shape for optimization can be obtained and the number of iterations for optimization can be reduced.

These specific examples are a kind of know-how and are not presented here. However, for example, a truss structure that is a triangular frame structure is effective in a structure region in which bending is mainly performed. There are many options for the pattern of the truss structure, and it is possible to reach a more specific structure when the line of force is obtained.

Approach to highly creative design Stress state and principal stress surface on the stress surface of the three-dimensional structure Stress state and principal stress surface on stress surface of planar structure Relationship between principal stress surface and principal shear stress surface External force and generated stress: tension / compression External force and generated stress: Shear force External force and generated stress: Torsion External force and generated stress: bending Force line: In the case of pulling a plate with a round hole Principal stress vector distribution: Near the round hole of plate tension with round hole Principal stress vector distribution: In case of shear deformation Force flow due to principal stress Frame structure along the flow of force Complex principal stress distribution of three-dimensional curved plank structure (1) Complex principal stress distribution of 3D curved thick plate structure (2)

  One embodiment of the present invention is shown in FIG. Consider a case where one end of the plate-like structural member 7 is fixedly supported and one end opposite to the plate-like structural member 7 is pulled with an equal tensile force. If there is no round hole in the center of this plate material, the line of force relating to the maximum principal stress of tension can be displayed uniformly from left to right in a straight line from a theoretical point of view. However, if there is a round hole in the center, the line of force passing through the center of the plate must change its trajectory to avoid the round hole. FIG. 10 shows the maximum principal stress vector group calculated by the finite element method around the round hole where the line of force is disturbed. In this case, the line of force having a tangent to the adjacent principal stress vector is a simple pattern and can be easily drawn. In addition, the force line of the minimum principal stress flows in a direction perpendicular to the flow of the tensile force, and the force line flows separately from the right and left around the round hole avoiding the round hole. In a thick plate material, a line of intermediate principal stress flows in the thickness direction.

FIG. 11 shows a main stress distribution around a round hole when a plate-like structure with a round hole as in FIG. 9 is subjected to a shell deformation instead of tension. This has a principal stress distribution considerably different from that in FIG. As a feature, in the left and right regions 11 of the round hole, the positive and negative principal stresses intersect with each other with substantially the same magnitude. As shown in FIG. 4, this indicates that there is a main shear stress in the direction of 45 ° rotation with the main stress direction, and what external force is applied by which pattern of the force lines connecting these main stresses. It is possible to investigate whether such a mechanism is occurring.

  Like Japan, countries with no resources need to create added value through manufacturing. Predictive simulation systems such as structural analysis methods have become widespread, and it has become possible to perform predictive evaluation at the design stage without repeating design, trial manufacture, experiment, and evaluation many times. Such a calculation method shortens the manufacturing process of manufacturing and makes it possible to spend more time on studying the structure, thereby greatly contributing to product development competition. However, similar approaches offer similar benefits to many rivals, and differentiation is necessary to win the competition. For that purpose, it is necessary to enable more creative proposals.

Here, a support tool that maximizes the potential of engineers is required. However, until now, simulations such as structural analysis have focused on results, and have turned to the direction in which answers can be obtained automatically, and have attempted automation that can handle optimization software and more complex models.

The acquisition of the line of force is an area that has not been given much emphasis because it does not automatically present the answer itself, but supports creative development in combination with the thinking of engineers as a thinking CAE. When optimizing the structure while grasping the force lines, it is clearly shown why the obtained structure is reasonable, so in advance what should be done to achieve harmony with other conflicting design conditions Can understand. It is necessary to carry out such fine-grained creative work and promote differentiation that appeals to the characteristics of Japanese culture. In that sense, the present invention is a great force and can contribute to manufacturing.

1 Cubic structure element
2 Stress surface 3 Main stress surface
4 square structural elements 5 members (target structure)
6 Bar-shaped member (target structure)
7 Plate-shaped member (target structure)
8 Fixed end 9 Force line 10 Main stress vector 11 Cross of positive and negative main stress (shear stress field)
12 Frame structure

Claims (14)

The force, which is a continuous line segment with the principal stress vector direction tangent from the point group, grasping the distribution of the principal stress specified by the structural analysis results and measurement data of the structure at each point in the structure Equipped with a system and software that displays the flow of force in the structure by a display display such as a computer, printout, etc., by expressing the line of force from any direction that can visually understand the structure, Systems and devices that collaborate to visually represent the flow of force.
In (Claim 1), with respect to the solid angle vector direction and the magnitude of the principal stress in the principal stress point group that is specified and scattered by the calculation element and the measurement position, the mathematics is performed so that the change due to the position between the point groups is smoothly continued. Main point vector direction by correcting the uneven distribution of the point group by interpolating by point processing (curve / curve fitting by multi-point reference, maintaining continuity of high-order derivative of smoothness of curve / curved surface, etc.) A system and apparatus that adopts a method for obtaining a line of force that is a continuous line segment with tangent as a tangent line and visually expresses a flow of force.
In (Claim 1) and (Claim 2), when interpolation is performed by mathematical processing so that changes due to the position of the principal stress in the solid angle vector direction are smoothly continued, the principal stress vector direction is continuous as a tangent line. Set the characteristics of the force line in the center of the point cloud data area in the vicinity forming the line of force, which is a line segment, and adopt the method of finding the force line while moving this point cloud data area sequentially, Systems and devices that collaborate to visually represent the flow of force.

In (Claim 1), (Claim 2), and (Claim 3), the principal stress point group is systematically set, and as a method of expressing a force line representing the flow of force, a force line is stress ( (Force / area) concept is not adopted, and there is no cross-sectional area, and a method of defining and displaying as a “single force line” with a positive or negative sign and magnitude for a set constant value force, The force line represents the force flow that is the direction of the principal stress vector in the tangential direction, and the magnitude of the principal stress is represented by the number of force lines per unit cross-sectional area perpendicular to the force line at that point. , A system and apparatus that cooperates to visually express force flow using force lines.
In (Claim 1), (Claim 2), and (Claim 3), the principal stress point group is systematically set, and the force line is a force per unit area as a method of expressing the force line representing the flow of force. Is used to define and display as a “double-force line” that possesses the magnitude of the stress (stress) as a characteristic, and the force line represents the flow of force that is the direction of the principal stress vector in the tangential direction, and at the same time the force Each point on the line has characteristics of the magnitude of the principal stress, and the stress is visually expressed in terms of area, shape, color, tint, transparency, etc. System and device that visually realize the flow of force.
(Claim 1), (Claim 2), (Claim 3), (Claim 4), (Claim 5) In the method of expressing the flow of force by the line of force, the force of each point of the line of force Or, by using a method that visually distinguishes the sign of the stress value and visually expressing the difference between the sign with the shape of the cross section of the line of force, arrows, colors, etc. Systems and devices that realize the expression of power flow.
In (Claim 1), (Claim 2), (Claim 3), (Claim 4), (Claim 5), and (Claim 6), in the force lines expressed in the structure of the object, As a method of graphically expressing the characteristics of principal stress at any point on the force line, certain display rules (such as the tangent to the force line, the vector direction of the principal stress in the normal direction, the magnitude, the curvature of the force line, etc.) A system that realizes the expression of the flow of force visually by adopting the method illustrated in accordance with the type / direction of arrow, thickness, length, color, sectional shape of force line, numerical display, etc.) apparatus.
(Claim 1), (Claim 2), (Claim 3), (Claim 4), (Claim 5), (Claim 6), and (Claim 7) A single or multiple points are drawn so that the tangent of the force line coincides with the principal direction of the principal stress in three directions for a solid and two directions for a surface and the vector direction of each principal stress, and arbitrary or constant regularity on the generated force line To set a restart point, draw a new force line from it using the same method, decide how many layers to repeat the process, and adopt a method to express the force line of the target structure. Systems and devices that work to achieve a visual representation of force flow.
(Claim 1), (Claim 2), (Claim 3), (Claim 4), (Claim 5), (Claim 6), (Claim 7), (Claim 8) For a generated force line, a method for setting a new starting point for generating a force line on the force line, a method of setting at a certain geometric distance, and an increase in the generation pitch of point clouds in the set interval Or a method of setting a pattern such as a decrease, a method of setting a point cloud generation pitch depending on the magnitude of the tangential principal stress on the force line, a point cloud generation pitch in conjunction with the trajectory characteristics such as the curvature of the force line A system and apparatus that adopts a method that can automatically or manually perform a certain regularity such as a method for setting a force and visually expresses a flow of force.
(Claim 1), (Claim 2), (Claim 3), (Claim 4), (Claim 5), (Claim 6), (Claim 7), (Claim 8), (Claim In item 9), when the change in the solid angle vector direction of the principal stress scattered in the vicinity forming the force line is large, the change in the principal stress vector characteristic due to the distance shift is complemented finely, and the line of force line from the tangent line A system that adopts a method of generating a line of force lines that combine the tangential directions of principal stresses by reducing the geometrical pitch that determines the minute, and visually realizing the expression of the force flow; apparatus.
(Claim 1), (Claim 2), (Claim 3), (Claim 4), (Claim 5), (Claim 6), (Claim 7), (Claim 8), (Claim Item 9), (Claim 10), as a force line that directly indicates how an external force is transmitted in the structure of the object, at least one of its end points is a load point, line, surface or support point, line, surface In addition to the force line that is the main force flow, the end point of the force line collides perpendicularly to the free surface or the force line that does not have an end point adopts the method of illustrating the force line as the force flow and cooperates System and device that visually realize the flow of force.
(Claim 1), (Claim 2), (Claim 3), (Claim 4), (Claim 5), (Claim 6), (Claim 7), (Claim 8), (Claim Item 9), (Claim 10), and (Claim 11), a function for setting so that necessary force lines can be selected and displayed as necessary without displaying all the force lines to be set. A system and apparatus that adopts a combination method and visually realizes the expression of the flow of force.
(Claim 1), (Claim 2), (Claim 3), (Claim 4), (Claim 5), (Claim 6), (Claim 7), (Claim 8), (Claim (9), (Claim 10), (Claim 11), and (Claim 12), the principal stress vector in the analytical model that can be expressed in two dimensions such as the surface of the object or the shell, shell, plane, etc. A system and apparatus that adopts a method of illustrating force lines and visually realizes the expression of force flow.
(Claim 1), (Claim 2), (Claim 3), (Claim 4), (Claim 5), (Claim 6), (Claim 7), (Claim 8), (Claim Item 9), (Claim 10), (Claim 11), (Claim 12), and (Claim 13), in the display shown by the computer display or printout, the active shutter synchronization system or the polarization plate system Using 3D glasses like the above, a method that reproduces the visual field of the left and right eyes on a gaze screen, a stereoscopic method that separates the visual fields of the left and right eyes on the image side, painting such as shading, shading, and translucency Incorporates a stereoscopic viewing function such as a stereoscopic viewing method in combination, and adopts a method that combines the main stress diagram in the structure of the object and the function to stereoscopically view the force lines, and visually expresses the flow of force System and equipment to realize.