SPLINE-APPROXIMATION METHOD APPLIED TO SOLVE NATURAL-VIBRATION PROBLEMS FOR RECTANGULAR PLATES OF VARYING THICKNESS

摘要

The natural vibrations of anisotropic rectangular plates of varying thickness with complex boundary conditions are studied using the spline-collocation and discrete-orthogonalization methods. The basic principles of the approach are outlined. The natural vibrations of orthotropic plates with parabolically varying thickness are calculated. The results (natural frequencies and modes) obtained with different boundary conditions are analyzed.