变滑动摩擦系数振子简谐激励Krylov-Bogoliubov计算方法  

KRYLOV-BOGOLIUBOV METHOD OF RESPONSE COMPUTATION OF A VIBRATOR WITH VELOCITY-DEPENDENT VARIABLE COEFFICIENT OF SLIDING FRICTION UNDER HARMONIC EXCITATION

作　　者：白鸿柏[1] 张培林[1] 黄协清[2] 

机构地区：[1]军械工程学院兵器工程系,石家庄050003 [2]西安交通大学机械工程学院,西安710049

出　　处：《机械强度》2002年第1期56-58,共3页Journal of Mechanical Strength

基　　金：中国博士后科学基金资助项目 ([中博基 ] 97 7)~~

摘　　要：研究了单自由度滑动摩擦系数随相对速度变化的干摩擦振动系统简谐激励响应计算问题 ,运用Krylov Bogo liubov近似方法推导了相应的频响方程。通过一个数值例分析 。By using the Krylov Bogoliubov approximate technique, the response computation of a single degree of freedom dry friction damped system with velocity dependent variable coefficient of sliding friction under harmonic excitation was discussed. And the amplitude frequency equation was also derived. According to the view of energy balancing, the restrictive condition of existence for the stationary solution was deduced from the energy balancing equation. Finally, a numerical sample was used to investigate the error between the system with coulomb friction and the one with velocity dependent variable coefficient of sliding friction. It is shown that in the zoon which being away from the resonance frequency, two models will have the negligible difference, quite the contrary, while in the zoon which being near to the resonance frequency.

关 键 词：非线性振动 滑动摩擦系数 库仑干摩擦模型 响应计算 

分 类 号：O322[理学—一般力学与力学基础] O328[理学—力学]