On the frequency response of moderately thick simply supported rectangular plates with arbitrary lamination

A here!to!fore unavailable analytical solution to the boundary!value problem of free vibration response of arbitrarily laminated moderately thick rectangular plates\ subjected to an admissible boundary condition is presented[ A novel boundary continuous solution approach is employed to solve the highly coupled governing partial di}erential equations that arise from the implementation of the Yang Norris Stavsky "0855# theory incorporating _rst!order shear deformation\ and rotary and in!plane inertias[ The numerical results presented for various parametric e}ects to study _rst lowest seven eigenvalues\ and corresponding eigenvectors\ can be capitalized as bench!marks for a future comparison[ An eight!node isoparametrics shear!~exible element is considered to validate its performance with respect to the present solutions