Free Flexural Vibrations of an Elliptical Plate with Edge Restrained Elastically

Abstract

It is the object of this paper to make clear the free flexural vibration characteristics of an elliptical plate with the edge restrained in a manner that prevents transverse edge motion and provides a restoring edge moment proportional to rotational angle of edge. Based on the ordinary thin plate theory, the procedure leading to a frequency equation is given in the case of the normal mode of symmetrical vibration about both axes. The numerical calculations are carried out and the lowest nondimensional frequencies are tabulated for he aspect ratios of the ellipse and the rotational spring stiffnesses of edge restraint in the cases of Poisson's damental ellipse tends to a circle, the frequency equation degenerates to the form for a circular plate.