Exact solution of the asymmetric Mindlinʹs plate equations applied to a disk

An exact solution is presented for the static and dynamic asymmetric response of a disk governed by Mindlinʹs plate equations forced by a pressure that varies radially as rm. The static solution agrees with a modal solution adopting the dynamic Mindlinʹs plate equations in the limit when excitation frequency vanishes. This solution is useful in sizing magnitude and shape of surface asymmetries on a disk from pressure loading with slight eccentricity and circumferential non-uniformity.