Three Dimensional Vibration of an Isotropic Plate Enclosed in a Rigid Body

In this study, vibration of plates embedded in a rigid enclosure has been investigated analytically for the first time literature. It is assumed that isotropic plate always contact with outer enclosure. Therefore, normal displacement at boundary surface constrained but tangential allowed. The field trigonometric function form. This analytical solution only available exact three-dimensional plate. Numerical results were presented various geometrical parameters. believed present formulation and can be used as benchmark numerical methods where not possible.