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

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. dry friction, non-smooth dynamics, stick-slip motion Citation:Yang S P, Guo S Q. Two-stop-two-slip motions of a dry friction oscillator.

Influence of Soil Plug on Pipe Ramming Process

“…Various aspects of numerical solution of problems connected with the nonlinear laws of dry friction were considered in [7-9, 15, 16, 21, 22, 24]. The analytical solutions for one degree of freedom systems with dry friction are given in [4,6,10,13,14,17,18,20]. Stead-state motion of one or two bodies with dry friction described the Coulomb law [1] was analyzed in [2-4, 9, 12-14, 17], and nonsteady motionin [9,10,18,[20][21][22][23][24].…”

“…The analytical solutions for one degree of freedom systems with dry friction are given in [4,6,10,13,14,17,18,20]. Stead-state motion of one or two bodies with dry friction described the Coulomb law [1] was analyzed in [2-4, 9, 12-14, 17], and nonsteady motionin [9,10,18,[20][21][22][23][24]. Most of these studies are focused on the stick/slip change under harmonic driving force.…”