Abstract
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.
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