Cylindrical bending of thick isotropic plates using trigonometric shear deformation theory

摘要

A trigonometric shear deformation theory for cylindrical bending of thick isotropic plates takingrninto account of transverse shear deformation effect is developed. The displacement field of the theory usesrnsinusoidal function in terms of thickness coordinate to include shear deformation effects. It has only two variables.rnIt is to be noted that the present theory satisfies the constitutive relations in respect of transverse shear strain andrnstress. The transverse shear stress can be obtained directly from constitutive relation, satisfying the shear stressrnfree boundary conditions at top and bottom surfaces of the plate. Hence, the theory requires no shear factor.rnGoverning equations and boundary conditions of the theory are obtained by using principle of virtual work.rnThe results from closed-form solution obtained for inplane and transverse displacements and bending and shearrnstresses for three load cases, viz; single sine load, uniformly distributed load, and concentrated load are presentedrnin this paper. The results are compared with those of classical plate theory, first order shear deformation theoryrnand higher order plate theory to validate the accuracy of the theory.