Loss factor for a clamped edge circular plate subjected to an eccentric loading

Abstract

Present article deals with the analytical evaluation of modal loss factor of a clamped edge thin circular plate of uniform thickness subjected to an eccentric harmonic point load. Starting with the fundamental equation of forced transverse vibration of a thin elastic plate in terms of Green’s function; the expression for the deflections is determined. Stresses are calculated with the help of general stress-deflection equations and the modal loss factor is evaluated at resonance condition. The nodal circles’ radii are also determined analytically for each mode shape.