Numerical Analysis of Dry Friction-Induced Vibration of Moving Slider-Elastic Annular Beam System  

作　　者：Sui Xin Ding Qian 

机构地区：[1]Department of Mechanics,Tianjin University,Tianjin 300350,P.R.China [2]Tianjin Key Laboratory of Nonlinear Dynamics and Control,Tianjin 300350,P.R.China

出　　处：《Transactions of Nanjing University of Aeronautics and Astronautics》2018年第1期84-93,共10页南京航空航天大学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos.51575378, 11272228 and 11332008)

摘　　要：A disc-pad friction system is modelled as that two moving pads act symmetrically on an annular beam with flexible boundary condition.Simulation procedure is proposed to deal with the moving interactions and calculation is carried out by using the finite difference method,which shows that only the first-order mode vibration of the beam can be induced.Then the partial differential equation of motion of the disk is reduced to a first-order mode vibration system with time-varying stiffness.As the disk speed is decreased below the critical speeds,the relative equilibrium of the pad on the disk loses its stability and stick-slip type limit cycle vibrations are resulted in all directions′movements.Acceleration of the disk motion on the frictional instability is also investigated.The period of stick-slip vibration with large amplitude will be shortened with higher moving deceleration.A disc-pad friction system is modelled as that two moving pads act symmetrically on an annular beam with flexible boundary condition.Simulation procedure is proposed to deal with the moving interactions and calculation is carried out by using the finite difference method,which shows that only the first-order mode vibration of the beam can be induced.Then the partial differential equation of motion of the disk is reduced to a first-order mode vibration system with time-varying stiffness.As the disk speed is decreased below the critical speeds,the relative equilibrium of the pad on the disk loses its stability and stick-slip type limit cycle vibrations are resulted in all directions′movements.Acceleration of the disk motion on the frictional instability is also investigated.The period of stick-slip vibration with large amplitude will be shortened with higher moving deceleration.

关 键 词：friction system INSTABILITY STICK-SLIP vibration Stribeck effect 

分 类 号：O322[理学—一般力学与力学基础] O313.5[理学—力学]