重庆大学学报2025，Vol.48Issue(4)：1-11,11.DOI:10.11835/j.issn.1000-582X.2024.270
后屈曲张拉整体超材料的建模和优化设计
Modeling and optimization design of post-buckling tensegrity metamaterial
摘要
Abstract
Achieving a balance between 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 elliptic integral method is employed to rapidly compute post-buckling deformations and determine the stiffness 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 frontier for the metamaterial's ultimate load and lower bandgap limit.The results demonstrate that the optimized structure can achieve bandgap frequency as low as 3 Hz,with a load capacity exceeding 100 N.Compared to existing low-frequency vibration isolation metamaterials,the ultimate load capacity is increased by over 3.6 times at the same bandgap frequency.关键词
后屈曲变形/张拉整体超材料/带隙下限/极限载荷/多目标优化Key words
post-buckling deformation/tensegrity metamaterial/lower bandgap limit/ultimate load/multi-objective optimization分类
数理科学引用本文复制引用
张泽轩,张亮,葛艺芃,章俊..后屈曲张拉整体超材料的建模和优化设计[J].重庆大学学报,2025,48(4):1-11,11.基金项目
国家自然科学基金资助项目(12272068).Supported by National Natural Science Foundation of China(12272068). （12272068）
