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Three-dimensional elasticity solution of orthotropic cylindrical panel under dynamic load
Abstract
Three-Dimensional elasticity solutions are obtained for finite length, cross-ply cylindrical panels, simply supported at four edges and subjected to dynamic transverse loading. Displacements are assumed in the form of trigonometric function expansion in the circumferential and axial directions which satisfy the boundary conditions at each edges of panel. By these assumption the boundary value problem is reduced to a set of ordinary differential equations with variable coefficients. The resulting equations of motion are solved by using Galerkin finite element method. Numerical results are presented for [0 deg], [0/90 deg] and [0/90/0 deg] laminations. Finally radial displacement obtained by this method is compared with classic shell theory (CST) result.
Shell structures under thermal shock loads are frequently encountered in the structural design problems. This chapter presents the coupled and generalized thermoelasticity of the cylindrical shells, spherical shells, conical shells, and shells of revolution. The shell material is assumed to be made of functionally graded, where by proper substitution for the power law index, the response of shells of homogeneous material is obtained.
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