Two-stop-two-slip motions of a dry friction oscillator
Two-stop-two-slip motions of a dry friction oscillator出 版 物:《中国科学:技术科学》 (Scientia Sinica(Technologica))
年 卷 期:2010年第2期
页 面:209-209页
核心收录:
学科分类:080904[工学-电磁场与微波技术] 0809[工学-电子科学与技术(可授工学、理学学位)] 08[工学]
基 金:Supported by the National Natural Science Foundation of China (Grant No. 10602039) National Science Fund for Distinguished Young Scholars (Grant No. 50625518)
主 题:dry friction non-smooth dynamics stick-slip motion
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.