基于减振器振子的动态性能研究

在周期振子上等间距布置橡胶减振器吸振器,形成局域共振周期振子结构,揭示了周期结构中布拉格带隙和局域共振带隙以及两种带隙的共存。采用传递矩阵法推导了周期单元的导纳矩阵,为求解周期结构中波的传播系数和动态响应奠定了理论基础。数值讨论了周期振子结构参数对两种LR和Bragg带隙边界频率的影响。推导了在任意冲击载荷作用下,周期振子结构的动态响应特征。对周期振子隔振器的冲击性能的研究为周期振子结构在低频和高频振动控制领域的应用提供参考。

Dynamic Characteristics of the Vibration IsolatorBased on the Rubber Absorbers

Periodic mass-spring structure is desigened to demonstrate the Bragg band gap characteristics of the periodic structure, and then evenly spaced vibration oscillators are attached to the periodic structure to form locally resonant (LR) periodic mass-spring structure. It is found that Bragg band gap and LR gap coexist in the LR periodic structure. Mobility matrix of periodic element is derived by transfer matrix method, and is further used to calculate wave propagation constant and dynamic response of the periodic structure. Effects of structural parameters on the bounding frequcies of band gaps in the LR periodic mass-spring structure are discussed numerically indetailed. Dynamic response equation of the periodic mass-spring structure under arbitrary shock force is derived.