Dynamic Modelling and Simulation of a Flexible Rectangular Isotropic Plate Structure Using Finite Difference Methods

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 implemented within the Matlab environment and allows application and sensing of a disturbance signal at any mesh point on the plate. Such a provision is desirable for the design and development of active vibration control techniques for the system. The performance of the developed algorithm shows that it converges faster than previously reported work. The simulation algorithm thus developed and validated forms a suitable test and verification platform for development of active vibration control strategies for flexible rectangular plate structures of various width over length ratios.