Plate/shell structure lightweight topology optimization design method comprehensively considering stability and vibration characteristics

The invention discloses a plate/shell structure lightweight topology optimization design method comprehensively considering stability and vibration characteristics. The method comprises the followingsteps: (1) determining a design domain, a critical buckling load constraint order and a limit value, an inherent frequency constraint order and a limit value, and a convergence condition; (2) determining a structural mechanical property analysis method; (3) carrying out standardization of an optimization target and explicit processing of constraints; (4) solving an optimization model; and (5) outputting an optimization result. When topological optimization design is carried out on the plate/shell structure, the stability performance and the vibration characteristic are comprehensively considered, a reference can be provided for the initial concept design of the light and thin plate/shell structure. 本发明公开一种综合考虑稳定性与振动特性的板/壳结构轻量化拓扑优化设计方法，包括以下步骤：(1)确定设计域、临界屈曲载荷约束阶数及限值、固有频率约束阶数及限值、收敛条件；(2)确定结构力学性能分析方法；(3)优化目标的标准化及约束的显式