SELF-EXCITED VIBRATIONS INDUCED BY DRY FRICTION, .2. STABILITY AND LIMIT-CYCLE ANALYSIS

Some mechanical systems have frictional joints where one surface slides on another with dry friction. Under certain conditions, the steady state sliding motion becomes unstable. The instability leads to the occurrence of stable limit-cycle type self-excited vibrations. This study is concerned with the analysis of the experimental results, reported in a companion paper, dealing with the instability of the steady state sliding motion and the resulting self-excited vibrations. The conditions which cause the steady state sliding motion to become unstable are investigated with a linear stability theory. A parametric study is conducted to assess the influence of the system parameters on the stability of the steady state sliding motion. The method of triple-input describing functions is used with a non-linear model to analyze the resulting self-excited vibrations. © 1990.