齿轮齿条式惯质粘滞阻尼器的拉索减振机理研究

针对一种新型的齿轮齿条式惯质粘滞阻尼器，利用归一化的复模态方法，讨论了该新型阻尼器的自身性能参数和耗能性能；建立了考虑垂度的拉索-惯质粘滞阻尼器振动体系，用归一化的方法研究了惯质系数和阻尼系数对拉索模态阻尼比的影响。模型试验与数值计算的分析表明：由负刚度产生的位移放大效应使惯质粘滞阻尼器具有良好的拉索减振效果；在考虑单阶振动时，为达到较高的单阶模态阻尼比，不同阶次所需惯质系数与阻尼系数有所不同；在惯质系数为优化值时，惯质粘滞阻尼器能够同时使得相邻的两阶振动的模态阻尼比达到最大。

RESEARCH ON DAMPING MECHANISM OF CABLE WITH PINION RACK TYPE INERTIAL VISCOUS DAMPER

Aiming at a novel pinion rack type inertial viscous damper and, using the normalized complex-valued mode method, the performance parameters and energy-dissipation properties of the novel damper are discussed in detail. A shallow cable-inertial viscous damper vibration system is established. The normalized complex-valued mode method is used to derive the influence of the inertial coefficient and of the viscous coefficient on the cable’s modal damping ratio. The experimental and numerical investigations show that the displacement amplification effect caused by the negative stiffness makes the inertial viscous damper have a good damping effect on the cable. When considering the single-mode vibration, the inertial coefficient and the damping coefficient are different to achieve a higher single-mode damping ratio. When the inertial coefficient is an optimal value, the inertial viscous damper can simultaneously maximize the modal damping ratio of two adjacent vibration modes.