Method for extracting 0-1 topological graph of compliant mechanism

Abstract

The invention discloses a method for extracting a 0-1 topological graph of a compliant mechanism. By continuously reducing an available material domain of a topological optimization model, the optimal solution is gradually approached, and the ideal 0-1 topological graph of the compliant mechanism is finally extracted. The method can effectively solve the problem of temporary location in loosening of a design variable based on an SIMP method. Completely different from a traditional progressive topological optimization method, the method has the advantages that design variables are continuous, sensitivity and continuity are fine, the conception is simple, the method is easily executed, checkerboards are not easily caused, the defects of parameter sensitivity and mesh dependency of a traditional method are overcome, and the method has fine convergence stability.

Description

technical field [0001] The invention relates to the technical field of topology map extraction in the topology optimization design of a compliant mechanism, in particular to a method for extracting a 0-1 topology map of a compliant mechanism. Background technique [0002] With the rapid development of microelectromechanical systems, micromachining and micromanipulation, and new materials, the design of compliant mechanisms has become a research hotspot in the field of mechanism science at home and abroad. [0003] Using the topology optimization method to study the design of the compliant mechanism only needs to give the design domain and specify the input and output positions, and does not need to start from a known rigid mechanism, and the obtained mechanism has the superior performance of distributed flexibility, which has attracted great attention. . [0004] This method is usually based on finite element analysis. In the initial stage of topology optimization, the desi...

AI Technical Summary

Problems solved by technology

It obtains the optimal solution by gradually removing invalid materials. Its advantage is that it does not need to introduce too many mathematical theories. However, since this method belongs to the category of integer programming, the continuity of sensitivity is poor, and the removed units cannot be used again. Therefore, Calculation efficiency is low, and it is easy to cause the result to not converge

On this basis, a two-way progressive method was developed. This method aims to remove invalid materials while adding effective materials to improve the convergence effect. However, this method is still an integer programming in essence, and cannot accurately evaluate all Sensitivity of Added Material Elements

In addition, there are methods combining simulated annealing and SIMP, and unit connection parameterization methods. Judging from their optimization results, it is still impossible to extract the ideal 0-1 topology.

Moreover, the above methods have the common disadvantage of easily leading to checkerboard

[0008] In addition, the topology optimization method based on level set is also an effective method to solve the problem of intermediate units, but this method also has defects such as initial sensitivity, inability to generate new holes, low computational efficiency, and difficulty in converging to non-smooth corners. Although some improved methods have been proposed, these problems have not been fully resolved

Images