X型准零刚度隔振器动力学设计及分析  

DYNAMIC DESIGN AND ANALYSIS OF X-SHAPED QUASI-ZERO STIFFNESS ISOLATOR

作　　者：尹蒙蒙 丁虎[1] 陈立群[1] Yin Mengmeng;Ding Hu;Chen Liqun(School of Mechanics and Engineering Science,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学力学与工程科学学院,上海200444

出　　处：《动力学与控制学报》2021年第5期46-52,共7页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11772181)。

摘　　要：结合准零刚度(quasi-zero stiffness,QZS)结构和X型结构,设计了一种新型X型准零刚度隔振器(XQZS).通过准零刚度弹簧组替换X型结构中的线性弹簧,达到超低频隔振的效果.利用拉格朗日方程建立了动力学方程,通过谐波平衡法和弧长法得到了系统响应的近似解析解并通过数值法验证了解析解的正确性.研究了系统的动力学响应和隔振性能.分析结果表明X-QZS结构在超低频范围的隔振效果能够比QZS更好,共振频率更低,隔振频带更宽.By combining the quasi-zero stiffness structure(QZS)with an X-shaped isolator,a new passive X-shaped quasi-zero stiffness isolator(X-QZS)is designed.By replacing the linear spring of the X-shaped isolator with the QZS,excellent performance in ultra-low frequency band is obtained.Harmonic balance method and arc length method are used to solve the motion equations established by the Lagrange equations in order to obtain approximate analytical solutions,which are then verified by numerical method.Steady-state responses to harmonic displacement excitation with different structural parameters are compared.The vibration isolation performance are analyzed.The results demonstrate that X-QZS can achieve better isolation than QZS in the ultra-low frequency range,with lower resonance frequency and wider vibration isolation band.

关 键 词：被动隔振 超低频 准零刚度 X型结构 谐波平衡法 

分 类 号：TB535.1[理学—物理]