一类双层高静低动刚度隔振系统动力学特性和应用局限性研究
利云云, 周徐斌, 陈卫东, 刘兴天
摘要：高静低动刚度隔振系统低频隔振性能优越,双层隔振系统对高频振动衰减迅速。将二者结合，提出基于欧拉屈曲梁负刚度调节器的一类双层高静低动刚度隔振系统，该类双层高静低动刚度隔振系统的特点是上下层的负刚度调节器安装于同一基础。对该系统进行了静力学分析，给出了此类隔振系统的负刚度适用范围；采用积极隔振模型，建立了双层高静低动刚度隔振系统的动力学方程，并使用谐波平衡法求解了系统动力学响应，根据上下层刚度之间存在的约束关系，且上下层刚度不能同时达到准零刚度等限制条件，给出了上下层线性刚度系数的有效取值范围，围绕有效取值范围的边界讨论上下层刚度系数对系统隔振性能的影响，并将其与普通的双层线性隔振系统的隔振性能进行比较。此外，还定义了双层非线性隔振系统的力传递率，研究了外激励幅值和阻尼比的大小对动力学响应和隔振性能的影响。结果表明，上下层分别使用负刚度来获取准零刚度隔振系统带来的性能迥异，上层刚度完全线性，下层为准零刚度时系统的隔振性能最好。
【关键词】 双层隔振； 动力学； 高静低动刚度； 负刚度； 传递率
Dynamic Characteristics and Application Restrictions of a Two-Stage Vibration Isolation System with High-Static-Low-Dynamic Stiffness
Yunyun Li, Xubin Zhou, Weidong Chen, Xingtian Liu
Abstract:The low-frequency vibration isolation performance of the vibration isolation system with high-static-low-dynamic stiffness is superior to linear system,and the two-stage vibration isolation system attenuates high-frequency vibration rapidly. Combining the two advantages,a two-stage vibration isolation system with high-static-low-dynamic stiffness based on Euler buckled beam negative stiffness corrector is proposed. The static analysis of the system is carried out. The dynamic equations of the two-stage isolation system with high-static-low-dynamic stiffness is established by using the active vibration isolation model,and the dynamic response of system is solved by using the Harmonic Balance Method. There is a restriction when using the two-stage vibration isolation system. The restriction is that there is a constraint relationship between the upper and lower stiffness,and the upper and lower stiffness cannot achieve quasi-zero stiffness at the same time when using the system. Moreover,the effective range of the linear stiffness coefficient of the upper and lower stiffness is given. The influence of the upper and lower stiffness coefficients on the vibration isolation performance of the system is discussed in detail in terms of the boundary of the effective range,and its vibration performance is compared with that of the ordinary two-stage linear vibration isolation system. The results show that the vibration isolation performance of the system is the best when the upper stiffness is completely linear and the lower stiffness is quasi-zero stiffness. Furthermore,the force transmissibility of the two-stage nonlinear vibration isolation system is defined and the influence of system parameters on dynamic response and vibration isolation performance is studied.
Keywords: two-stage vibration isolation; dynamics;high-static-low-dynamic stiffness; negative stiffness; force transmissibility
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