Vibrations of a Circular Plate with a Number of Eccentric Circular Inner Boundaries

Abstract

This paper presents a method for obtaining the frequency equation for a circular plate with a number of eccentric circular inner boundaries. In the analysis, the exact solution which satisfies the outer boundary conditions was applied, and the inner boundary conditions were satisfied by means of the point matching-method under consideration of the symmetry of the vibration modes. Numerical calculations were carried out for a clamped circular plate with two or four eccentric circular clamped edges and for the plate with two eccentric annular supports.