应用数学和力学2024,Vol.45Issue(8) :1082-1095.DOI:10.21656/1000-0887.450082

负刚度扭转超结构力学性能研究

Research on Mechanical Properties of Negative Stiffness Torsion Metastructures

王钦泽 韩宾 郑培远 刘志鹏 张琦
应用数学和力学2024,Vol.45Issue(8) :1082-1095.DOI:10.21656/1000-0887.450082

负刚度扭转超结构力学性能研究

Research on Mechanical Properties of Negative Stiffness Torsion Metastructures

王钦泽 1韩宾 1郑培远 1刘志鹏 1张琦1
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作者信息

  • 1. 西安交通大学 机械工程学院,西安 710049
  • 折叠

摘要

通过屈曲变形实现非损伤耗散能量的负刚度超结构,为可重复使用的缓冲防护器件提供了新的设计思路,但其耗散能力较弱、难以过载保护的缺点限制了实际应用.为增强耗能性能及最大允许变形量,将负刚度铰接梁与具有压扭效应的斜杆串联组合,设计了一种负刚度扭转超结构,通过引入扭转变形缓解了过载导致的应力集中.建立了负刚度扭转单元模型,通过刚度匹配设计实现了对力学性能的调控,使负刚度扭转超结构表现出突跳行为,产生加卸载曲线不重合的迟滞现象,从而极大地提高了能量耗散能力.通过结构参数及刚度关系的优化设计,负刚度扭转超结构的最大等效压缩应变可达 71%,相同层数下,能量耗散能力可以达到传统屈曲梁超结构的两倍.

Abstract

The negative stiffness metastructures provide a novel design strategy for reusable protective devices with the non-damage buckling energy dissipation mechanisms.However,the weak cushioning capacity and the measly overloading protection restrict the practical applications.To enhance the energy dissipation and maxi-mum allowable deformation,a negative stiffness torsion metastructure was developed with substructures inclu-ding buckling hinged beams and inclined beams.Through introduction of compression-torsion coupling effects,the stress concentration caused by overload can be alleviated.Based on a series model for the negative stiffness torsion element,a strategy to control the mechanical properties was proposed through design of the matching relations of stiffnesses.Snap-through behaviors and hysteresis phenomena can be obtained on the non-overlap-ping loading and unloading curves,to greatly improve the energy dissipation capacity.The optimization of geo-metric parameters and stiffness relations increases the maximum equivalent compressive strain of the negative stiffness torsion metastructure by 71%.Additionally,compared to the traditional buckling beam metastructures with the same number of layers,the negative stiffness torsion metastructure can double in the energy dissipa-tion capacity.

关键词

负刚度/扭转超结构/串联设计/能量耗散

Key words

negative stiffness/torsion metastructure/series design/energy dissipation

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基金项目

国家自然科学基金(52250287)

出版年

2024
应用数学和力学
重庆交通学院

应用数学和力学

CSTPCDCSCD北大核心
影响因子:0.778
ISSN:1000-0887
参考文献量23
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