Abstract
In this paper, using an improved Reissner's variational theorem [E. Reissner, J. math. Phys., 90–95 (1950)] along with Banerjee's hypothesis, [B. Banerjee and S. Dutta, Int. J. Non-Linear Mech. 16, 47–52 (1981)] a new set of governing equations which include the effects of transverse shear deformation and rotatory inertia is derived for the large amplitude free vibrations of isotropic plates. The case of a simply supported square plate has been discussed in detail. Numerical results have been computed showing the effect of the transverse shear deformation and compared with other known results.
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