摘要
低频振动衰减速度慢难以控制,严重影响高端装备的精度、稳定性和可靠性.线性隔振器因承载能力和隔振频带之间的固有矛盾无法有效隔离低频振动.因此,可通过引入非线性获得等效负刚度和非线性刚度构建准零刚度隔振器,以实现低频隔振.折纸结构具有双稳态、负泊松比和负刚度等独特的力学特性,近年来得到了广泛关注.受堆叠三浦折纸(stacked Miura-ori,SMO)启发,提出了一种新型SMO隔振器,由SMO结构和线性弹簧并联构成.基于能量法推导了SMO结构的势能方程,获得了竖直方向的力-位移关系,揭示了SMO结构大行程负刚度机理.研究了无应力条件下不同初始角和折痕刚度比对SMO隔振器的恢复力的影响规律,阐明了SMO隔振器非线性刚度调节机制.建立了SMO隔振器的理论模型,基于谐波平衡法推导了位移传递率.通过数值仿真研究了不同负载下的低频隔振性能.最后研制了SMO隔振器的原理样机,试验验证了SMO隔振器的恢复力和低频隔振性能.结果表明,折纸隔振器峰值频率可低至1.52 Hz,最小峰值传递率为1.29.本研究为低频折纸隔振结构的设计提供了一种新思路.
Low-frequency vibration is difficult to control due to the slow decay rate,which seriously influences the precision,stability and reliability of high-end equipment.The linear vibration isolator cannot effectively isolate the lowfrequency vibration due to the inherent contradiction between the bearing capacity and the vibration isolation frequency band.Therefore,the quasi-zero-stiffness vibration isolator can be constructed by introducing nonlinearity to obtain equivalent negative stiffness and nonlinear stiffness to realize the low-frequency vibration isolation characteristics.Origami structures have unique mechanical properties such as bistability,negative Poisson's ratio,negative stiffness,etc.,which have been concerned in recent years.Inspired by stacked Miura-ori(SMO)origami,a novel SMO vibration isolator is proposed,which consists of an SMO structure and a linear spring connected in parallel.The potential energy equation of the SMO structure is derived based on the energy method,and the force-displacement relationship is derived,which reveals the mechanism of the negative stiffness of the SMO structure with large stroke.The effects of different initial angles and crease stiffness ratios on the restoring force of the SMO vibration isolator under stress-free conditions are investigated,and the nonlinear stiffness adjustment mechanism of the SMO vibration isolator is revealed.The theoretical model of the SMO vibration isolator is established,and the displacement transfer rate is derived based on the harmonic balance method.The low-frequency vibration isolation performance under different loads was investigated by numerical simulation.Finally,a prototype of the SMO vibration isolator was developed,and the restoring force and lowfrequency vibration isolation performance of SMO vibration isolator were verified experimentally.The results demonstrate that the peak frequency and transmissibility of the SMO vibration isolator are 1.52 Hz and 1.29.This study provides a new approach for the design of low frequency origami-inspired vibration isolators.
作者
樊东芝
凌鹏
马洪业
潘侠圭
严博
Fan Dongzhi;Ling Peng;Ma Hongye;Pan Xiagui;Yan Bo(School of Mechanical Engineering,Zhejiang Sci-Tech University,Hangzhou 310018,China)
出处
《力学学报》
EI
CAS
CSCD
北大核心
2024年第6期1775-1783,共9页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(52175125)
浙江理工大学基本科研业务费(23242094-Y)资助项目。
关键词
非线性隔振
堆叠三浦折纸
低频隔振
非线性刚度调节
nonlinear vibration isolation
stacked Miura-ori
low-frequency vibration isolation
nonlinear stiffness adjustment
