Steady-state response of a cantilever plate subjected to harmonic displacement excitation at the base

An interest in the dynamic steady-state response of cantilever plates to harmonic lateral and rotational displacement imposed along the clamped edge has arisen in connection with the projecting of lifetimes of electronic components mounted on the plate lateral surface. Analytical type solutions to the problem are obtained by exploiting the superposition method, a method which has previously been successfully exploited to obtain accurate solutions for free vibration problems involving rectangular plates with various combinations of boundary conditions, point supports, etc. This newly developed approach to free vibration problem analysis has been modified here to handle forced vibration problems, in particular, to calculate response of cantilever plates of two different geometries to a range of base excitation frequencies. The theoretical work has been supported by a careful parallel experimental program. Very good agreement between theory and experiment has been encountered. It is expected that the theoretical approach described will provide a powerful analytical means for obtaining accurate solutions to various other rectangular plate forced vibration problems.