消隔组合X型减振器设计与动力学分析  

Design and Dynamic Analysis of X-Shaped Absorber Combined with Vibration Dissipation and Vibration Isolation

作　　者：程远恩 李立广 张振[1] 方勃[1] Cheng Yuanen;Li Liguang;Zhang Zhen;Fang Bo(School of Aeronautics and Astronautics,Shenyang Aerospace University,Shenyang 110136,China;Beijing Institute of Space Electromechanical Research,Beijing 100190,China)

机构地区：[1]沈阳航空航天大学航空宇航学院,沈阳110136 [2]北京空间机电研究所,北京100190

出　　处：《动力学与控制学报》2023年第11期35-43,共9页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(12002217)。

摘　　要：本文将一种X型结构与线性弹簧阻尼减振器相结合构成一种兼具消振和隔振性能的新型X型减振器.基于拉格朗日方法建立单自由度线性振子耦合消隔组合X型减振器系统的动力学方程,应用谐波平衡法得到系统稳态响应的近似解析解,并通过Runge-Kutta法得到系统的数值解验证解析解的正确性.讨论了不同的基础激励下新型X型减振器对系统的响应幅值以及位移传递率的减振效果.此外,分析了不同参数对系统的幅频响应曲线以及位移传递率的影响.研究结果表明,新型X型减振器不仅可以将线性刚度转化为非线性刚度,还可以为系统提供负刚度,拥有优秀的消振和超低频隔振性能.This paper combines an X-Shaped structure with a linear spring and damping absorber to form a new X-Shaped absorber with both vibration dissipation and vibration isolation performance.Based on the Lagrange method,the dynamic equation of the single-degree-of-freedom linear oscillator coupled X-Shaped absorber system is established.The approximate analytical solution of the steady-state response of the system is obtained by the harmonic balance method,and the numerical solution obtained by the Runge-Kutta method verify the correctness of the analytical solution.The vibration reduction effect of the new X-Shaped absorber on the response amplitude and displacement transmissibility of the system for different excitations is discussed.In addition,the influence of different parameters on the amplitude-frequency response curve and displacement transmissibility of the system is analyzed.The results show that the new X-Shaped absorber can not only transform the linear stiffness into nonlinear stiffness,but also provide negative stiffness for the system,and has excellent vibration dissipation and ultra-low frequency vibration isolation performance.

关 键 词：X型结构 非线性刚度 消隔组合减振 谐波平衡法 

分 类 号：O327[理学—一般力学与力学基础]