A flexible mechanism topology optimization design method based on adaptive constraint

A topology optimization and flexible mechanism technology, applied in constraint-based CAD, design optimization/simulation, calculation, etc., can solve problems such as single hinges

Active Publication Date: 2019-04-05
CHANGSHA UNIVERSITY OF SCIENCE AND TECHNOLOGY
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Problems solved by technology

[0004] The purpose of the present invention is to provide a flexible mechanism topology optimization design method based

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  • A flexible mechanism topology optimization design method based on adaptive constraint
  • A flexible mechanism topology optimization design method based on adaptive constraint
  • A flexible mechanism topology optimization design method based on adaptive constraint

Examples

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Embodiment 1

[0074] The present invention provides a flexible mechanism topology optimization design method based on adaptive constraints, see Figure 11 , including the following steps:

[0075] S1: Given the initial design area, divide the finite element grid, and give boundary conditions, load cases and other conditions.

[0076] S2: Read the fixed finite element grid model file of the design area, read the current structure reserved element data file, form a layer of artificial material elements with small topological variable values ​​around the structure and holes, and automatically form the current effective structure limited The meta-model generates and saves the mapping relationship data file between the grid model of the largest design area and the effective grid model of the current structure.

[0077] S3: Apply unit virtual load at the output end, and perform finite element analysis to obtain displacement vector data under actual load and unit virtual load. By reading the map...

Embodiment 2

[0099] This embodiment proposes a single-input single-output displacement reverse flexible mechanism, the size of the initial mechanism is 0.4m×0.4m×0.05m, and the elastic modulus of the material is 2.09×10 14 pa, Poisson's ratio is 0.3. The upper and lower parts on the left side of the mechanism are fixed-end constraints, the input force acts on the left midpoint, its magnitude is 20000N, the direction is rightward, and the stiffness is 2.0×10 8 The N / m spring replaces the workpiece that the input end is in contact with the mechanism; the middle point on the right is the displacement output end, and the stiffness is 2.0×10 8 The N / m spring replaces the workpiece where the output end is in contact with the mechanism, figure 1 It is a schematic diagram of the initial design domain, force and boundary conditions of the displacement inversion mechanism. figure 1 where F is the force acting on the input. The goal of the optimal design of this example is to maximize the displace...

Embodiment 3

[0101] This embodiment proposes a micro-clamping mechanism, the design domain size of the mechanism is 500 μm × 500 μm × 10 μm, and the elastic modulus of the material is 1.9 × 10 11 pa, Poisson's ratio is 0.3. The upper and lower parts on the left side of the mechanism are fixed-end restraints, the input force acts on the midpoint on the left side, the size is 0.1mN, and the workpiece with the input end and the mechanism is replaced by a spring with a stiffness of 10.0N / m; the size of the gap on the right side is 100μm ×100μm, the upper and lower points of the notch are the displacement output ends, and the springs with a stiffness of 1000.0N / m are used to replace the workpieces in contact with the mechanism at the output end. Figure 4 It is a schematic diagram of the initial design domain, force and boundary conditions of the micro-clamping mechanism. The optimal design goal of this example is to maximize the absolute value of the difference between the two displacements a...

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Abstract

The invention discloses a flexible mechanism topology optimization design method based on self-adaptive constraint. The method is used for solving the problem of single hinge existing in flexible mechanism topology optimization. The method comprises the following steps that an initial design area is given, finite element grids are divided, a finite element model of a current effective structure isformed, and meanwhile a mapping relation data file of a maximum design area grid model and the finite element model of the current effective structure is generated and stored; Performing finite element analysis to obtain displacement vector data under an actual load and a unit virtual load; Establishing a function expression of adaptive constraint based on the mutual strain energy, the flexibility, the volume and the mechanism comprehensive flexibility function change rate, establishing an approximate optimization model, converting the model into an approximate quadratic mathematical programming model, and obtaining a topological variable solution; And automatically updating the structure topological variable, and reading the structure grid and the model data to form a new structure system finite element model. The above steps are repeated, and the optimal topology can be obtained when the iteration process converges.

Description

technical field [0001] The invention relates to the field of mechanical structure optimization design, and specifically discloses a flexible mechanism topology optimization design method based on self-adaptive constraints. Background technique [0002] In the topology optimization design of the flexible mechanism, the output displacement of the mechanism is required to be as large as possible, and the mechanism is also required to have sufficient safety, that is, sufficient rigidity. The two often cannot be satisfied at the same time. In some cases, the output displacement of the optimization result can meet the requirements, but its stiffness is insufficient, resulting in a single hinge problem; in other cases, the rigidity of the optimization result is too large, and the output displacement does not meet the design requirements. . Among them, the single hinge problem is the main problem faced by the topology optimization design of flexible mechanisms. [0003] Taking the...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F2111/04G06F30/17G06F30/23
Inventor 荣见华张晓光荣轩霈陈成
Owner CHANGSHA UNIVERSITY OF SCIENCE AND TECHNOLOGY
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