Research on topology optimization of steel joints based on improved bi-directional progressive structural optimization method
In order to improve the computational efficiency of bi-directional progressive structural optimization(BESO)of steel structural joints,and fully solve the problem of checkerboard and grid dependence in the optimization process,an improved bi-directional progressive structural optimization(SJ-BESO)method is proposed.In this method,the sensitivity filtering radius is introduced,and after the sensitivity values of each element within the filtering radius are weighted,the element retention,deletion or addition is determined by setting the sensitivity threshold segment.Meanwhile,the convergence parameter is established to ensure the stability of the structural gradual optimization calculation.A comparative analysis between SJ-BESO and BESO was conducted using a corbel joint example.The results indicate that SJ-BESO significantly enhances computational iteration efficiency and overcomes issues related to checkerboard patterns and grid dependency.Then,an example with a bifurcated node is used to compare SJ-BESO with the variable density method(SIMP),and the results show that the optimized scheme of SJ-BESO has a higher material utilization efficiency.SJ-BESO is suitable for topology optimization of steel joints,and has good computational efficiency and optimization performance.
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