Research On Topology Optimization Of Variable Stiffness Structural Parts Based On Improved Genetic Algorithm

Topology optimization is a structural optimization method that reasonably allocates materials and determines the optimal force transmission path based on specified load conditions,performance parameters,and constraint conditions.At present,in various finite element analysis software,it is the most common to adopt SIMP method for topology optimization.However,Bi-directional Evolutionary Structural Optimization method(BESO)has gradually become one of the main structural optimization design methods because it can add or delete materials during the optimization process and has good grid independence and stability.This paper mainly focuses on the realization of Bi-directional Evolutionary Structural Optimization(BESO)on the ABAQUS platform,the combination of variable stiffness and BESO topology optimization method,and improved genetic algorithms to assist in the realization of the variable stiffness topology optimization method.The work is as follows:First,this article introduces the basic principles and related formulas of the two-way progressive structural optimization method.And elaborate the relevant material interpolation scheme and sensitivity analysis in the BESO algorithm and other core content.Then combine it with Python to realize the BESO based on the ABAQUS platform Topology optimization method.And compare the optimization results of the BESO topology optimization method with the optimization results of the traditional SIMP method.Secondly,the effect of the variable stiffness topology optimization method on each platform is studied,including the use of MATLAB and the ABAQUS platform itself to achieve variable stiffness.Finally,the use of Python in ABAQUS to achieve variable stiffness between global elements.Combining the variable stiffness based on Python with the BESO topology optimization method,a BESO topology optimization method with variable stiffness is proposed,and the three-dimensional model is optimized using this method,which verifies the feasibility and effectiveness of this method.Then,the variable stiffness is combined with the genetic algorithm,and the fundamental genetic algorithm is improved.A variable stiffness method based on the improved genetic algorithm is proposed,which realizes the variable stiffness between elements and realizes multi-objective optimization.The related models are tested to prove the feasibility of the proposed variable stiffness method based on an improved genetic algorithm.Finally,this article shows the topology optimization results of various three-dimensional calculation examples using the proposed variable stiffness topology optimization method based on the improved genetic algorithm.The transient dynamics collision analysis of the optimized frame verifies the adoption of this article.The optimization method has feasibility and versatility in ABAQUS and realizes efficient utilization at the material level.