简谐基础加速度激励下的点阵结构优化设计
收稿日期: 2023-10-11
修回日期: 2023-10-24
录用日期: 2023-11-02
网络出版日期: 2023-12-01
Lattice structure optimization design under harmonic base acceleration excitations
Received date: 2023-10-11
Revised date: 2023-10-24
Accepted date: 2023-11-02
Online published: 2023-12-01
航空航天类产品面临愈加剧烈的振动环境，同时对结构的设计也提出了更高的轻量化需求。针对简谐基础加速度激励下的结构振动抑制问题，基于高比强度、比刚度的轻质点阵结构，提出通过优化点阵结构杆件的截面尺寸来降低结构动响应的优化方法。以点阵结构杆件的截面尺寸为设计变量，结构体积为约束，建立简谐基础加速度激励下结构关键点处位移响应最小为优化目标的优化数学模型。采用模态位移法高效求解结构动响应及灵敏度，并通过GCMMA优化算法实现优化问题求解。数值算例和振动实验表明所提出的点阵结构优化方法在保证结构轻量化的同时，能够大幅度降低结构的振动响应。
陈立 , 曾孝云 , 黄文 , 张建飞 . 简谐基础加速度激励下的点阵结构优化设计[J]. 航空学报, 2024 , 45(5) : 529704 -529704 . DOI: 10.7527/S1000-6893.2023.29704
Aerospace products face an increasingly violent vibration environment， and at the same time， higher lightweight requirements are put forward for structural design. Aiming at the problem of structural vibration suppression under simple harmonic base acceleration excitation， this paper proposes an optimization method to reduce the dynamic response of the structure by optimizing the cross-sectional size of the lattice structural members based on the lightweight lattice structure with high specific strength and specific stiffness. Taking the cross-sectional size of the lattice structural members as the design variable and the structural volume as the constraint， an optimization mathematical model with the smallest displacement response at the key points of the structure under simple harmonic base acceleration excitation is established as the optimization goal. The modal displacement method is used to efficiently solve the dynamic response and sensitivity of the structure， and the optimization problem is solved by the GCMMA optimization algorithm. Numerical examples and vibration experiments show that the lattice structure optimization method proposed in this paper can greatly reduce the vibration response of the structure while ensuring the lightweight structure.
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