THE EFFECT OF POINT CONSTRAINTS ON TRANSVERSE VIBRATION OF CANTILEVER PLATES

This paper deals with the free transverse vibration of rectangular cantilever plates subjected to point constraints against deflection. Particular emphasis is given to the quantitative evaluation of effects of the constraints on the vibration characteristics. The natural frequencies and mode shapes of the plates are determined by the Lagrange multiplier method, an extension of the classical Ritz method. In the numerical examples it is found that a significant increase in frequencies occurs when the constraints are added on certain parts of cantilever plates.