变杆长X形结构隔振系统动力学特性研究

针对传统三参数隔振器谐振段与高频段的隔振效果不能同时保证的问题，提出了一种将几何非线性特征变杆长X形结构隔振器的模型.该模型采用谐波平衡法建立动态响应解析模型，并且将解析解与时域数值解和多体动力学软件Adams得到的仿真数据进行对比，证明解析解正确.在此基础上，分析了变杆长X形结构隔振系统的等效刚度系数、等效阻尼系数、力传递率和多频稳态激励条件下传递到基础的动态力以及关键设计参数对隔振系统传递特性的影响.结果表明变杆长X形结构隔振系统等效刚度和等效阻尼呈单调递增变化；变杆长X形结构隔振系统谐振峰值显著减小且频率未发生变化，对应时域力响应也呈现出相同的变化特征.

Dynamic Performance of Vibration Isolating System with Variable Rod Length X-Shaped Structure

To solve the differ problem of the vibration isolation effect of the resonant section and high frequency section in traditional three parameter vibration isolator, a model of variable rod length X-shaped structure vibration isolator with geometric nonlinear characteristics was proposed. Firstly, a dynamic response analytical model was established based on the harmonic balance method. And then, comparing with the time-domain numerical solution and the simulation data got from the multi-body dynamics software ADAMS, the analytical solution was proved accurately. On the basis, the equivalent stiffness coefficient, equivalent damping coefficient, force transfer rate, dynamic force transmitted to the foundation under multi frequency steady-state excitation and the influence of key design parameters on the transmission characteristics of the vibration isolation system were analyzed finally. The results show that the equivalent stiffness and equivalent damping of the vibration isolation system with variable rod length X-shaped structure can change monotonically. The resonant peak value of variable rod length X-shaped structure vibration isolation system decreases significantly, the frequency does not change, and the corresponding time-domain stress response also presents the same variation characteristics.