滚动碰撞式调制质量阻尼器力学模型及参数分析

A mechanical model and parameter analysis of a pounding tuned rotary mass damper

滚动碰撞式调制质量阻尼器(PTRMD)由调谐质量阻尼器及颗粒阻尼器发展而来,其在土木工程减振控制领域中的研究仍处于初步分析与探索阶段,阻尼器自身参数及外部激励条件对其减振性能的影响尚不明确。在考虑颗粒与主体结构碰撞和摩擦效应的基础上,建立PTRMD力学模型,并将颗粒和结构的振动过程划分为非碰撞过程、碰撞过程及黏滞振动过程;建立PTRMD-单自由度结构运动微分方程并分别对其进行求解;基于数值仿真分析方法,分别对碰撞间隙比、颗粒运动频率比、滚动摩擦因数、碰撞恢复系数、颗粒质量与简谐激励强度及频率等参数对PTRMD减振性能的影响进行研究。结果表明:颗粒运动频率比较小时,PTRMD减振效果随碰撞间隙比的增加而基本成线性增加,且受激励幅值的影响较小;当颗粒运动频率比较大时,其减振效果随碰撞间距比的增加先增大后减小,且受激励幅值影响较大。

A pounding tuned rotary mass damper(PTRMD)was developed on the basis of the study of a tuned mass damper and a particle damper.The influence of various parameters on the vibration damping performance and mechanism is not clear.A PTRMD mechanical model was established by considering the collision and friction.The vibration process was divided into non-collision processes,collision processes,and viscous vibration process,and the corresponding motion equations were established separately.Finally,based on the numerical simulation,the parameter analysis was performed on the collision gap ratio,particle motion,frequency ratio,rolling friction coefficient,collision recovery coefficient,particle mass,the harmonic excitation intensity and frequency.The results show that when the particle motion frequency is small,the PTRMD damping effect increases linearly with the collision gap ratio,and the influence of the excitation amplitude is small.When the particle motion frequency is relatively large,the damping effect increases first and then decreases with the collision spacing ratio,and is greatly affected by the excitation amplitude.