含摩擦阻尼器非光滑振动系统的建模与数值仿真  

MODELLING AND SIMULATION OF THE NON-SMOOTH VIBRATION SYSTEMS WITH FRICTION DAMPERS

作　　者：朱琳[1] 王琪[1] 张润森[1] 

机构地区：[1]北京航空航天大学航空科学与工程学院,北京100083

出　　处：《动力学与控制学报》2017年第2期172-177,共6页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11372018)~~

摘　　要：研究了含干摩擦粘/弹性构件的两类非光滑减振器的动力学问题.首先,建立了含摩擦粘性构件和含摩擦弹性构件的力学模型,其中摩擦模型采用Coulomb干摩擦模型,不计弹性构件和粘性构件的质量,给出了该构件粘性力和弹性力的计算方法,通过控制摩擦阻尼器的正压力调整混合阻尼器的粘性力的最大值和弹簧力的最大值.分别建立了含摩擦粘/弹性阻尼器的单自由度和二自由度振动系统的动力学方程,通过数值仿真,首先分析了动、静摩擦系数对含摩擦粘/弹性构件单自由度振动系统动力学特性的影响,然后分析了含摩擦粘/弹性构件二自由度振动系统的动力学特性,仿真结果表明,通过控制摩擦阻尼器受到的的正压力获得更好的减振效果.The dynamic behavior of vibration systems with hybrid dampers is investigated in this paper. Two types of hybrid dampers are introduced, where one is viscous damper with friction and the other is spring damper with friction. The Coulomb＇s law of dry friction is used to describe frictional forces in these hybrid dampers and hybrid damper mass is ignored. The numerical methods for computing damp forces of these two hybrid dampers are given. The amplitudes of viscous forces and spring forces at hybrid dampers can be changed by controlling normal forces at hybrid dampers, respectively. The dynamic equations of 1-DOF and 2-DOF vibration systems with the hybrid dampers are then obtained, respectively. The simulation for the 1-DOF vibration system with hybrid dampers is taken to study the influence of the static friction coefficient and dynamic friction coefficient. The dynamical behavior of the 2-DOF vibration system with hybrid dampers is then analyzed. The amplitude response curves of these vibration systems are also given. The simulation results show that the non-smooth vibration systems with hybrid dampers can achieve better properties of reducing vibration amplitude by controlling normal forces at friction dampers.

关 键 词：非光滑动力学 摩擦阻尼器 Coulomb干摩擦 数值仿真 

分 类 号：TB535[理学—物理]