On the Bending of Rotating Circular Plate

Abstract

The bending of rotating circular plate due to transverse load has been investigated as a problem of an integral equation. It is shown that the solution is expressed as an infinite series, after successive substitution is applicable to numerical calculation, for its convergency is very rapid in the practical range of rotating speed. As a numerical example, the stresses and deflections of a rotating circular plate with small initial curvature of paraboloidal shape are calculated at various rotating speeds, and their tables and curves are given.