基于改进BESO法连续体结构拓扑优化研究OA北大核心CSTPCD

Compared with traditional size optimization and shape optimization,topology optimization provides a wider range of design flexibility,and its application is becoming more and more widespread.With the development of structural topology optimization,its optimization methods are also improving,so the research of its methods highlights important theoretical and engineering application value.Because the bi-directional evolutionary structural optimization(BESO)method has strong universality,simple theory and program implementation,and high optimization efficiency,a series of black/white distribution topological configurations can be obtained.It is increasingly widely used in engineering practice.However,the bidirectional asymptotic structure optimization method and its improved methods have some problems in solving topological optimization problems under stress constraints.In this paper,ABAQUS software and improved bidirectional progressive structure optimization method are used to realize the topology optimization of continuous structure,so as to solve the stress constrained topology optimization problem,and then prove its superiority and feasibility of application in engineering examples.This paper describes BESO method and its application in engineering field in detail,analyzes the fundamental reasons for the success of bidirectional progressive structure optimization method and its advantages compared with other topology optimization methods,and then proposes the relationship between constraint conditions and topology variables based on constraint optimization problem.With the aim of minimizing the strain energy of the structure,the Lagrange method is used to derive the topological optimization of the C-type clamp and I-beam structure with the stress constraint as the constraint condition,which verifies the effectiveness of the improved bidirectional progressive structure optimization method and improves the material utilization rate,thus verifying the feasibility of the improved bidirectional progressive structure optimization method in practical engineering.