双线性滞迟干摩擦模型的无谐振振动特性分析

摘要

对双线性滞迟振子的无谐振机理进行了理论和试验研究。建立干摩擦阻尼隔振系统力学模型，对其低频锁止特性进行了研究，并由此得到解锁频率的解析解，确定了最优解下的系统参数关系；利用运动方程对系统时间响应过程进行了深入的数值计算，并通过试验对理论结果进行了验证。所得结论对无谐振隔振器的合理设计具有指导意义。%In this paper,theoretical and experimental research on the free resonance of bilinear hysteresis dry friction damper was carried out.A mechanical model was proposed for the dry friction damped system.The characteristic of stick motion under low frequency excitation was analyzed.The analytic solution of the unlock frequency was established.The parameters of the system under the optimal solution were also determined.Based on the motion equation of the system,the numerical calculation of the time response process was further carried out.Finally,through the experiment study,theory results were verified.This study provided the theoretical principles for guiding the design of a non-resonant absorber.