多工况多约束下离散变量桁架结构的拓扑优化设计

OPTIMAL TOPOLOGY DESIONS OF TRUSSES WITH DISCRETE SIZE VARIABLES SUBJECTED TO MULTIPLE CONSTRAINTS AND LOADING CASES

提出了一个多工况下受应力、位移约束的离散变量桁架结构的拓扑优化方法，给出了结构拓扑形式变更时的约束处理方法及杆件删除策略，使基结构设计空间的维数不断降低，达到最优拓扑，避免了奇异解的出现，在算例中指出了截面离散集和位移约束对最优拓扑的影响；算例给出了满意的拓扑优化解。

An algorithm is given for topology optimization of trusses with discrete variablessubjected to multiple constraints and loading cases. The treatment of constraints and strat-egy of removing bars when the topologies change are proposed to avoid singular solutions.The facts that optimal topologies may be affected by different displacement constraints anddiscrete section sets are pointed out in the examples for which satisfactory optimal solutionsare obtained.