Errors in double sine series solutions for simply supported symmetrically laminated plates (Q1911081)

The Rayleigh-Ritz method used with double sine series descriptions of transverse deflection has been applied extensively to obtain results for simply supported symmetrically laminated composite plates. The present work shows that, because of the inherent imposition of certain artificial derivative constraints, the double sine series is not a generally admissible deflection function for such plates. Results are presented for linear bending, vibration and buckling analyses of plates in which through thickness shear and rotary inertia effects are negligible.