摩擦对滚动碰撞式调谐质量阻尼器的影响及其试验研究

Effect of friction on a pounding tuned rotary mass damper and its experimental study

对带碰撞的滚动式调谐质量阻尼器(PTRMD)中的滚动摩擦问题进行理论与试验研究。引入摩擦耗能机制,利用Lagrange变分原理推导了考虑振子滚动摩擦耗能的PTRMD控制方程,通过数值求解分析了滚动摩擦对阻尼器减振性能的影响。选取不同质地的滑道面材料,利用高速摄像和计算机图像处理技术对其滚动摩擦因数进行了实测,并制作了单自由度结构模型,对装有不同滑道面材料PTRMD的受控结构模型进行振动台试验,对其在自由振动、强迫振动及地震激励等工况下的摩擦效应进行研究和对比分析。结果表明,PTRMD中振子与轨道间的摩擦效应能提高PTRMD的耗能能力,有效改善其工作性能。且不论何种激励,在一定范围内滑道的滚动摩擦因数越大PTRMD的控制效果就越好,但滚动摩擦因数存在最优区间,太小或过大均不利于PTRMD的减振。

Theoretical and experimental studies on the rolling friction problem in a pounding tuned rotary mass damper(PTRMD)were conducted.By introducing the friction energy dissipation mechanism and using Lagrange principle,the control equation considering the rolling friction energy dissipation of the PTRMD was derived,and the influence of rolling friction on the damping performance of the damper was analyzed by numerical solution.The rolling friction coefficients of different materials were measured by high-speed camera and computer image processing technology.A single degree of freedom structure model was designed and made,and the shaking table test was carried out on a controlled structure equipped with PTRMD with different friction material.The friction effect on the PTRMD under free vibration,forced vibration and earthquake excitation was studied.The results show that the friction effect between the ball and the track in the PTRMD can improve its energy dissipation and the working performance.For all the excitations,the greater the rolling friction coefficient of the track in a certain range,the better the control effect of the PTRMD.However,there is an optimal range of rolling friction coefficient for the damper,and too small or too large coefficient is not conducive to the vibration reduction of PTRMD.