Continuous body displacement and frequency constraint topological optimization design method considering damage-safety condition

Abstract

The invention discloses a continuum displacement and frequency constraint topological optimization design method considering damage-safety conditions. The method comprises the steps: establishing a finite element model according to a continuum-based structure; determining a damage working condition number, and inputting an initial damage area center coordinate value and a damage area parameter; inputting displacement and frequency constraint optimization parameters to form an optimization model; carrying out static analysis on the damage-safety structure containing the damage working conditionin sequence, and constructing explicit expression of displacement constraints; carrying out modal analysis of the damage-safety structure, and constructing an explicit expression of frequency constraint; establishing an approximate continuous mathematical optimization column formula of a topological optimization model considering displacement and frequency constraints under damage-safety conditions, and solving the optimization model; and performing inversion processing on the optimal topological configuration to obtain the optimal topological configuration and displacement and fundamental frequency of each structure damage condition. According to the invention, a reference is provided for considering the damage-safety topological optimization problem in the field of statics and dynamics.

Description

technical field [0001] The invention belongs to the technical field of engineering structure design, and in particular relates to a continuum displacement and frequency-constrained topology optimization design method 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 the stru...

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Problems solved by technology

[0003] The traditional topology obtained through topology optimization is usually the best force transmission path under the action of external force, and the performance of the material can be fully utilized, but the optimal configuration tends to be a statically determinate structure, and the disadvantage is that the structure lacks redundancy. In this case, the local damage of the structure can easily lead to the destruction of the whole

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