新型负刚度超材料吸能结构的设计与优化

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摘要为了提高负刚度超材料的吸能特性，提出了一种加固圆柱形负刚度超材料结构；它由圆柱面斜梁单元和内部周期性平面斜梁单元组成，其吸能性能主要通过斜梁单元的负刚度特性实现。通过理论解析和有限元分析对结构的力学性能进行研究，结果表明斜梁单元高厚比值越大结构的负刚度和双稳态性能越明显且两种斜梁单元的高厚比取值越接近结构稳定性越好；同时通过与空心圆柱形负刚度超材料结构的对比，证实了加固结构提高了空间利用率以及增强了吸能效果。最后以航天器非火工分离装置为应用背景，基于Kriging代理模型对所提出的新型负刚度超材料吸能结构进行了优化设计，总吸能水平和单位吸能水平均相对增长了20.47%。

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	潘怡1
	王萌1
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	周阳1
	李雪梅1
	孙蓓蓓1

关键词 ：加固圆柱形结构, 负刚度超材料, 斜梁单元, 吸能, 优化

Abstract：To improve the energy absorption characteristics of negative stiffness metamaterials, a reinforced cylindrical negative stiffness metamaterial structure was proposed, which was composed of cylindrical inclined beam elements and internal periodic plane inclined beam elements. Its energy absorption performance was mainly realized by the negative stiffness of the inclined beam element. The mechanical properties of the structure were studied by theoretical analysis and finite element analysis. The results show that the greater the ratio of height to thickness of the inclined beam elements is, the more obvious the negative stiffness and bi-stable performance of the structure are, and the closer the ratio of height to thickness of the two inclined beam elements is, the better the stability of the structure is. At the same time, compared with hollow cylindrical metamaterial structure with negative stiffness, it is confirmed that the reinforced structure improves space utilization rate and energy absorption effect. Finally, taking the non-explosive separation device of spacecraft as the application background, the novel negative stiffness metamaterial energy absorbing structure was optimized based on Kriging agent model. The total energy absorption level and unit energy absorption level are increased by 20.47%

Key words： reinforced cylindrical structure negative stiffness metamaterial inclined beam unit energy absorption optimization

收稿日期: 2021-11-08 出版日期: 2023-03-28

引用本文:

潘怡1，王萌1,2，周阳1，李雪梅1，孙蓓蓓1. 新型负刚度超材料吸能结构的设计与优化[J]. 振动与冲击, 2023, 42(6): 180-187.
PAN Yi1,WANG Meng1,2,ZHOU Yang1,LI Xuemei1,SUN Beibei1. Design and optimization of a new energy absorbing structure with negative stiffness metamaterial. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(6): 180-187.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I6/180

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