Numerical Analysis of Thick Shells of Revolution

by Frank G. Bercha, Sr. Engrg. Specialist; Acres Consulting Services Ltd., Calgary, AB, Canada,
Peter G. Glockner, (M.ASCE), Prof.; Dept. of Civ. Engrg., Univ. of Calgary, Calgary, AB, Canada,

Serial Information: Journal of the Engineering Mechanics Division, 1973, Vol. 99, Issue 5, Pg. 1053-1072

Document Type: Journal Paper

Abstract: The equations of thick shells of revolution, corresponding to any number of terms in the power series expansion for the spatial displacement vector, are presented herein in a form suitable for numerical solution. Approximations to the equations, using Fourier series and finite difference techniques, for any level of solution accuracy, are expressed in matrix form and the salient steps for computer solution of the resulting algebraic system are described. Some results of numerical studies, using specific cases of the general formulation, are presented as a basis for consideration of convergence and efficiency of the numerical method.

Subject Headings: Numerical methods | Numerical analysis | Displacement (mechanics) | Vector analysis | Approximation methods | Fourier analysis | Matrix (mathematics) | Computing in civil engineering |

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