Two-stop-two-slip motions of a dry friction oscillator  

作　　者：YANG ShaoPu1 & GUO ShuQi2 1 School of Mechanical Engineering,Shijiazhuang Railway Institute,Shijiazhuang 050043,China 2 Department of Engineering Mechanics,Shijiazhuang Railway Institute,Shijiazhuang 050043,China 

出　　处：《Science China(Technological Sciences)》2010年第3期623-632,共10页中国科学（技术科学英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 10602039);National Science Fund for Distinguished Young Scholars (Grant No. 50625518);the State Key Laboratory of Mechanical System and Vibration (MSV-2009-03);Shanghai Jiao Tong University

摘　　要：This paper presents the investigation on the two-stop-two-slip (TSTS) motions in a dry friction oscillator.Friction is a kind of dissipated force.Simple dry friction oscillator implies complicated stick-slip motions.Due to its nonlinear non-smooth characters,it is difficult to analyze the stick-slip motions.First,TSTS motion is analyzed in this paper.A closed form solution of the TSTS motions is presented.In addition,parameter domain for the motion is studied.In general,there are no explicit solutions to transcendental equation in the closed form solution.However,explicit solutions are possible for special cases.Moreover, Poincare map is structured to analyze the stability of the motions.This paper presents the investigation on the two-stop-two-slip (TSTS) motions in a dry friction oscillator.Friction is a kind of dissipated force.Simple dry friction oscillator implies complicated stick-slip motions.Due to its nonlinear non-smooth characters,it is difficult to analyze the stick-slip motions.First,TSTS motion is analyzed in this paper.A closed form solution of the TSTS motions is presented.In addition,parameter domain for the motion is studied.In general,there are no explicit solutions to transcendental equation in the closed form solution.However,explicit solutions are possible for special cases.Moreover, Poincare map is structured to analyze the stability of the motions.

关 键 词：dry friction NON-SMOOTH dynamics STICK-SLIP motion 

分 类 号：TN752[电子电信—电路与系统]