CN108090298B - Trampoline jumping cloth shape-finding method based on finite element analysis - Google Patents
Trampoline jumping cloth shape-finding method based on finite element analysis Download PDFInfo
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- CN108090298B CN108090298B CN201711469663.8A CN201711469663A CN108090298B CN 108090298 B CN108090298 B CN 108090298B CN 201711469663 A CN201711469663 A CN 201711469663A CN 108090298 B CN108090298 B CN 108090298B
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- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
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Abstract
The invention provides a trampoline jumping cloth shape-finding method based on finite element analysis, which comprises the following steps: modeling the jumping cloth through APDL; defining the material property of the jumping cloth, and assigning an initial elastic modulus to the material property; carrying out mesh division on the jumping-cloth model, wherein the mesh division adopts a triangular unit and a mapping division mode; the central point of the jumping cloth is lifted by 0.4M by utilizing displacement constraint; fully constraining the peripheral displacement of the jumping cloth, and fixing all the lines outside the circular jumping cloth; applying a temperature load to the circular surface of the jumping cloth, and simulating prestress by applying the temperature load; updating the jumping coordinates, and updating the origin coordinates into coordinates after the temperature load is applied; restoring the actual elastic modulus of the material; executing the steps (5), (6) and (7) by using a loop statement, and carrying out loop iteration for 20 times; and finishing shape finding, applying actual working condition load and solving. The method can effectively reduce the workload of shape finding analysis and improve the accuracy of the geometric shape in the cloth jumping initial state.
Description
Technical Field
The invention relates to the field of data simulation, in particular to a trampoline jumping cloth shape-finding method based on finite element analysis.
Background
The existing jumping cloth shape finding adopts stress application or multi-key point displacement lifting, and is relatively complicated.
The multi-key-point displacement improvement has higher requirement on point selection, different point selection modes are different aiming at different types of jump cloth, the universality is not realized, the stress value applied needs to be considered in stress application, and the calculated amount has certain requirement.
Disclosure of Invention
In order to overcome the defects of the conventional trampoline jumping cloth shape finding technical scheme, the invention provides a trampoline jumping cloth shape finding method based on finite element analysis.
The technical scheme of the invention is realized as follows:
a trampoline jumping cloth shape-finding method based on finite element analysis comprises the following steps:
step (1), modeling is carried out on jumping cloth through APDL;
step (2), defining the material attribute of the jumping cloth, and assigning an initial elastic modulus to the attribute;
step (3), carrying out mesh division on the jumping fabric model, wherein the mesh division adopts a triangular unit and a mapping division mode;
step (4), lifting the central point of the jumping cloth by 0.4M by utilizing displacement constraint;
step (5), the peripheral displacement of the jumping cloth is fully restrained, and all lines on the outer side of the circular jumping cloth are fixed;
step (6), applying a temperature load to the circular surface of the jump cloth, and simulating prestress by applying the temperature load;
step (7), updating the jumping coordinate, and updating the origin coordinate to the coordinate after the temperature load is applied;
step (8), recovering the actual elastic modulus of the material;
step (9), executing steps (5), (6) and (7) by using a loop statement, and carrying out loop iteration for 20 times in total;
and (10) finishing shape finding, applying actual working condition load, and solving.
Optionally, in step (1), a CIRCLE with a radius of 1.8M is created by using CIRCLE-related command of APDL, and the thickness of the CIRCLE is determined by the designated cell after the division.
Alternatively, the trampoline bed is made of PP (polypropylene) and the modulus of elasticity of the trampoline bed is known per se, so that the initial modulus of elasticity of the PP bed is reduced by three orders of magnitude from 6E7Pa to 6E4 Pa.
Optionally, the step (4) is specifically: and selecting a jumping cloth central point, constraining the Z-direction displacement of the jumping cloth central point by using a D command, and designating the Z-direction displacement to be improved by 0.4M.
The invention has the beneficial effects that:
the jumping cloth is simulated and calculated by using APDL, and the shape finding of the jumping cloth of the trampoline is promoted by adopting the displacement of a geometric center point, so that the workload of shape finding analysis can be effectively reduced, and the accuracy of the geometric shape of the jumping cloth in an initial state is improved.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a flow chart of a trampoline shape-finding method based on finite element analysis.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The invention carries out shape finding analysis on the jumping cloth of the nonlinear material of the trampoline based on the finite element, and because the jumping cloth belongs to the nonlinear membrane material, the initial position and the shape of the jumping cloth are determined by shape finding analysis of the jumping cloth when the finite element analysis is carried out.
The method of the present invention is described in detail below with reference to the accompanying drawings.
As shown in FIG. 1, the trampoline jumping cloth shaping method based on finite element analysis of the invention comprises the following steps:
step 1, modeling jumping cloth through APDL; a CIRCLE with the radius of 1.8M is established by using related commands such as CIRCLE of APDL, and the thickness of the CIRCLE is determined by the designated units after the division.
Step 2, defining the material attribute of the jump cloth, and assigning a smaller initial elastic modulus to the material attribute; the trampoline jumping cloth is made of PP materials, the elastic modulus of the trampoline jumping cloth is known, and in order to achieve a better shaping effect, the initial elastic modulus of the trampoline jumping cloth is reduced by three orders of magnitude by referring to other shaping principles, namely, the initial elastic modulus of the trampoline jumping cloth is reduced to 6E4Pa from 6E7 Pa.
Step 3, carrying out grid division on the jumping cloth model; the grid division adopts a triangular unit and a mapping division mode.
Step 4, lifting the central point of the jumping cloth by 0.4M by utilizing displacement constraint; the cloth skipping central point is selected, the Z-direction displacement of the cloth skipping central point is restrained by using a D command, the Z-direction displacement is appointed to be lifted by 0.4M, the arrangement mainly aims at that the lifting ratio of 0.4M is about 10% relative to the diameter of a 3.6M circular surface, and the lifting ratio is relatively reasonable.
And 5, fully restricting the peripheral displacement of the jumping cloth, and fixing all the wires outside the circular jumping cloth.
And 6, applying a temperature load to the circular surface of the jump cloth, and simulating prestress by applying the temperature load.
And 7, updating the jumping coordinates, namely updating the origin coordinates to the coordinates after the temperature load is applied.
And 8, restoring the actual elastic modulus of the material.
Step 9, executing loop iteration for 20 times in all steps 5, 6 and 7 by utilizing a DO loop statement; as the number of iterations is more, the shape finding is more sufficient, the result simulation is more accurate, the calculation amount requirement on equipment is higher, and the number of iterations is selected to be 20 by comprehensive consideration.
And step 10, finishing shape finding, applying actual working condition load, and solving.
The steps 4 to 8 can effectively reduce the workload of shape finding analysis and improve the accuracy of the geometric shape of the jumping cloth in the initial state.
The invention adopts a finite element method, utilizes APDL to carry out simulation calculation on the jumping cloth, adopts the displacement of the geometric center point to promote the shape finding of the jumping cloth of the trampoline, and can effectively reduce the workload of shape finding analysis and promote the accuracy of the geometric shape under the initial state of the jumping cloth.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.
Claims (4)
1. A trampoline jumping cloth shape-finding method based on finite element analysis is characterized by comprising the following steps:
step (1), modeling is carried out on jumping cloth through APDL;
step (2), defining the material attribute of the jumping cloth, and assigning an initial elastic modulus to the attribute;
step (3), carrying out mesh division on the jumping fabric model, wherein the mesh division adopts a triangular unit and a mapping division mode;
step (4), lifting the central point of the jumping cloth by 0.4M by utilizing displacement constraint;
step (5), the peripheral displacement of the jumping cloth is fully restrained, and all lines on the outer side of the circular jumping cloth are fixed;
step (6), applying a temperature load to the circular surface of the jump cloth, and simulating prestress by applying the temperature load;
step (7), updating the jumping coordinate, and updating the origin coordinate to the coordinate after the temperature load is applied;
step (8), recovering the actual elastic modulus of the material;
step (9), executing steps (5), (6) and (7) by using a loop statement, and carrying out loop iteration for 20 times in total;
and (10) finishing shape finding, applying actual working condition load, and solving.
2. The finite element analysis-based trampoline jumping shape finding method of claim 1, wherein in step (1), a CIRCLE with a radius of 1.8M is created by using CIRCLE-related command of APDL, and the thickness of the CIRCLE is determined by the designated cells after screening.
3. The finite element analysis-based trampoline jumping cloth shaping method of claim 1, wherein the trampoline jumping cloth is made of PP with known elastic modulus, and the initial elastic modulus of the PP jumping cloth is reduced by three orders of magnitude from 6E7Pa to 6E4 Pa.
4. The finite element analysis-based trampoline jumping cloth shaping method of claim 1, wherein the step (4) is embodied as: and selecting a jumping cloth central point, constraining the Z-direction displacement of the jumping cloth central point by using a D command, and designating the Z-direction displacement to be improved by 0.4M.
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| US20080300831A1 (en) * | 2006-12-19 | 2008-12-04 | Board Of Governors For Higher Education, State Of Rhode Island And Providence | System and method for finite element based on topology optimization |
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| CN105358223A (en) * | 2012-12-21 | 2016-02-24 | 木板&板条国际公司 | Method and system of measuring an activity of a person on a flexible mat of a trampoline |
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