用杆件截面递增迭代法对位移约束桁架进行优化设计

Optimization of the truss with displacement constraint using member-area-increasing iteration

采用杆件截面递增迭代法,对具有位移约束的桁架进行优化设计.在迭代公式中,杆件截面增量的权重采用杆件各自的应变比能,保证了迭代收敛的稳定性.为提高优化设计的收敛速度,提出一种迭代加速因子,它既保证了优化设计解的精度又提高了收敛速度.通过对三杆平面桁架、n节间平面桁架进行优化设计研究,验证了该方法的有效性,为大型结构优化设计奠定了基础.

In this paper, the truss with displacement constraints is optimized by member-area-increasing iteration. In iteration formulation, the member＇ s strain ratio energy is used as the weight of member area increment, which ensures the iteration stability. For the purpose of accelerating iteration, acceleration factors are proposed which not only ensure the precision of solution, but also accelerate iteration. Three-member truss and n-panel truss are optimized using the proposed method, and effectiveness of the proposed method is verified. The proposed method is of importance for optimization of large-scale structures.