A strange head-tail problem: a base-excited stick-slip oscillator.

Abstract

In this paper the dynamics of a dry-friction oscillator excited by a stochastic base motion is studied. The non-smooth behavior of the dry-frictional force associated with the non-smooth stochastic base motion induces in the system stochastic stick-slip oscillations. The focus of the paper is to analyze the stick-slip dynamics of the system from a probabilistic view point. Defined a time interval for analysis, the variables of interest are the number of time intervals in which stick or slip occur, the instants at which they begin, and their durations. These variables are modeled as stochastic objects and Monte Carlo simulations are employed to compute their statistics.