后屈曲张拉整体超材料的建模和优化设计

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中图分类号：0328 文献标志码：A 文章编号：1000-582X（2025）04-001-11

Modeling and optimization design of post-buckling tensegrity metamaterial

ZHANG Zexuan， ZHANG Liang， GE Yipeng， ZHANG Jun （College of Aerospace Engineering， Chongqing University， Chongqing 400044， P. R. China）

Abstract：Achieving a balancebetween low-frequency bandgaps and high load capacity is a critical challenge in metamaterial design. Leveraging the post-buckling behavior of bars， this study proposes a novel tensegrity metamaterial where post-buckling induces a reduction in structural stiffness， thereby enabling low-frequency vibration isolation while enhancing load-bearing capacity.The eliptic integral method is employed to rapidly compute post-buckling deformations and determine the stifess of the tensegrity unit. Bandgap frequencies are calculated using Bloch's theorem under periodic boundary conditions， combined with a spring-mass diatomic chain model.To optimize both band gap and load capacity， a data-driven，dual-objective optimization method is employed， yielding the Pareto frontierfor the metamaterial's ultimate load and lower bandgap limit.The results demonstrate that the optimized structure can achieve bandgap frequency as low as 3Hz ，with a load capacity exceeding 100N . Compared to existing low-frequency vibration isolation metamaterials， the ultimate load capacity is increased by over 3.6 times at the same bandgap frequency.

Keywords： post-buckling deformation； tensegrity metamaterial； lower bandgap limit； ultimate load； multi objective optimization

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