An Improved Finite Difference Method Applied to Thin Shells

[+] Author and Article Information
N. Nelson

Esso Research and Engineering Co., Florham Park, N. J.

A. Chang

Dept. of Mechanical Engineering, Stevens Institute of Technology, Hoboken, N. J.

J. Eng. Ind 93(4), 1030-1036 (Nov 01, 1971) (7 pages) doi:10.1115/1.3428039 History: Received February 09, 1971; Online July 15, 2010


New methods of deriving more accurate difference equations are given. These are used to compute the stresses in thin shells. The governing shell equations are derived making the Donnell assumptions, so that unknowns are expressed in changes of curvatures and normal forces. These equations are then solved using improved finite difference formulas in which terms of higher order, compared to ordinary finite difference formulas, are taken into account. Several examples are given showing results comparable to other methods but using far fewer unknowns.

Copyright © 1971 by ASME
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