Continuum stress and displacement constraint topological optimization method considering damage-safety

Abstract

The invention discloses a continuum stress and displacement constraint topological optimization method considering damage-safety. The continuum stress and displacement constraint topological optimization method comprises the steps of establishing a finite element model according to a continuum base structure; determining the size and the number of damaged areas, selecting the damaged structure with the maximum structure total strain energy in the damaged condition of each structure, and giving a weight constraint to solve the minimum strain energy; inputting an initial damage area center coordinate value and a damage area parameter; stress and displacement constraint optimization parameters are input, and a stress and displacement constraint optimization model considering damage-safety conditions is formed; stress analysis is carried out, and allowable strain energy is estimated through a numerical fitting method; and performing displacement static analysis on the damage-safety structure containing the damage working condition, establishing a displacement constraint explicit expression and a continuous mathematical optimization column expression, and performing inversion processingon the optimal topological configuration to obtain the optimal topological configuration and displacement of each structure damage condition. A reference is provided for considering the damage-safetytopological optimization problem in the field of statics.

Description

technical field [0001] The invention belongs to the technical field of engineering structure design, and in particular relates to a method for topological optimization design of continuum stress and displacement constraints under damage-safety conditions. Background technique [0002] Topology optimization is to seek the best force transmission path of the structure with the material distribution as the optimization object under the given external load and boundary conditions. This optimization method is gradually developed with the rapid development of finite element theory and computer software technology. . Compared with size optimization and shape optimization, structural topology optimization can determine more design parameters, save materials more significantly, and achieve greater economic benefits. At the same time, it can provide engineering designers with a comprehensive It is very attractive to engineering designers to apply the optimal scheme to the layout of t...

AI Technical Summary

Problems solved by technology

Although the traditional topology optimization of stress and displacement structure has obtained the optimal topology structure under the constraints of displacement and stress under the action of external load, when the structure is partially damaged by collision, explosion, corrosion, etc. in a complex environment, the The optimal configuration will be completely destroyed, losing the original mechanical properties of the optimal structure

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