where Ω is an open connected subset of R with a sufficiently smooth boundary, ρ and θ are sufficiently smooth scalar functions on Ω bounded below by a positive number, and u is a function on Ω that does not vanish uniformly. This eigenvalue PDE is the standard idealization of finding the vibrational modes of a thin plate clamped at the edges, in which the stiffness of the plate is given by θ, t...

An investigation into the dynamic characterisation of a rectangular flexible plate structure is presented and a simulation algorithm characterising the behaviour of the plate is developed using finite difference methods. A thin, rectangular plate, with all edges clamped, is considered. The investigation is accomplished by varying the width over the length ratio of the plate. The algorithm is im...