填充结构拓扑优化的连续与离散变量法OA

The performance differences between continuous and discrete variable design methods for topology optimization of infill structures were investigated.Based on local volume constraints,two optimization models were established:a continuous variable model using the SIMP method with the optimality criterion and a discrete variable model using the SAIP method with the canonical relaxation algorithm.Firstly,the fundamental formulations of these methods for topology optimization of infill structures were derived theoretically.Subsequently,numerical examples were utilized to conduct comparative studies from three aspects:optimization performance,clarity of structural topology design,and computational efficiency.Finally,by implementing identical initialization strategies,move limit strategies,and convergence criteria,the external interference in the algorithm was eliminated.The results demonstrate that the optimization time using the SIMP method is approximately 50%of that using the SAIP method;however,the topological designs generated by SIMP exhibit grayscale regions at structural boundaries.In contrast,the SAIP method yields topological designs with clearer boundaries and superior structural configurations,achieving about a 4%reduction in the objective function value.A theoretical reference and basis for the topology optimization design of infill structures is provided.