Vibrations of an initially stressed thick plate

Abstract By using previously derived equations for a thick plate in an arbitrary state of non-uniform initial stress the vibrational behavior of a thick, simply supported rectangular plate subjected to initial stress is investigated. The initial stress is taken to be a combination of pure bending plus extensional stress in the plane of the plate. The vibrational behavior is correlated to the buckling behavior in order to explain how, in certain cases, higher modes can vibrate at frequencies lower than those of the lower order modes.