Abstract: The inadequacy of beam vibration mode shapes when used in the Ritz method to obtain approximate solutions for flexural problems concerning plates involving free edges is demonstrated. A new set ...

Abstract: Perturbation theory is used to obtain the natural frequencies and mode shapes of lateral vibration of rectangular plates under arbitrary in-plane loading in terms of a power series in a loading ...

Abstract: A multiparameter perturbation approach for the solution of a class of differential equations is developed and is applied to the study of the vibration of rectangular plates under arbitrary ...