Transverse vibration of simply supported circular plates having partial elastic constraints

Abstract

For the problem of the free vibration of a simply supported circular plate elastically constrained along part of the boundary, a series-type solution is derived by the extension of a previously developed method. In the numerical study, some uniform rotational springs are equally spaced along the circumference of the plate. The natural frequencies and nodal patterns for the lowest five modes are presented for a range of spring parameters. The effect of varying stiffness and angle of the springs is discussed.