Abstract

The problem of length-limited cylindrical thick shells under non-axisymmetric loads is researched in this paper. Based on the assumption of radial shear strains with quadratic distribution and radial normal strains with linear distribution through the radial coordinate, displacement expressions containing the unknowns are established. The non-axisymmetric loads are expressed by Heaviside function and Dirac function, and equilibrium differential equations containting 7 unkowns are derived according to the minimum potential energy principle. After the selection of double triangle functions and application of the Galerkin Method, analytical solutions of stress and displacement of cylindrical thick shells are obtained. This method is verified by a comparative analysis of the analytical solutions with ANSYS numerical results from a example.

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