FLEXURAL VIBRATION OF SKEW MINDLIN PLATES WITH OBLIQUE INTERNAL LINE SUPPORTS

A free vibration analysis of moderately thick skew plates with oblique internal line supports is presented. Mindlin's plate theory is employed and the pb-2 Rayleigh-Ritz method is applied to obtain the governing eigenvalue equation for internally supported skew plates. A set of natural frequencies for skew Mindlin plates with oblique internal line supports having different combinations of boundary conditions has been determined for various aspects ratios a/b, relative thickness ratios t/b and skew angles alpha. The validity of the approach is illustrated by comparing the results with other established values. From literature searches, it appears that no work has previously been done on the free vibration of moderately thick skew plates with oblique internal line supports. Thus this paper may provide some important information to designers and engineers for use in practical applications.