Self-excited vibration of a circular plate subjected to frictional forces exerted in two regions on its outer circumference (A case of a circular plate subjected to ditributed frictional forces without the effect of internal resonances)

Abstract

This paper deals with the self-excited vibration of a Mindlin circular plate subjected to distributed frictional forces as a function of relative slip velocity in two regions on its outer circumference. However, the effect of the internal resonances is not considered here. It is derived from the averaging method that there exist two stable steady-state solutions of single mode with different spatial location with respect to two frictional regions. The stable solutions become, in general, unstable as the distributed regions widen, but, on the other hand, the stable self-excited vibrations due to the distributed frictions occur anew. However, within a certain length of the distributed regions, the self-excited vibration characteristic has the same tendency as the one due to the concentrated frictional forces at two points, which was dealt with in the previous paper.