Numerical Integration of Shell Equations Using the Field Method

[+] Author and Article Information
G. A. Cohen

Structures Research Associates, Laguna Beach, Calif.

J. Appl. Mech 41(1), 261-266 (Mar 01, 1974) (6 pages) doi:10.1115/1.3423238 History: Received April 01, 1973; Revised May 01, 1973; Online July 12, 2010


The “field method” for the numerical solution of even-order linear boundary-value problems in ordinary differential equations is formulated. This method converts the boundary-value problem into two successive initial-value problems, which may be solved by standard forward integration techniques. The method has been implemented in a computer program to calculate the static response of ring-stiffened branched shells of revolution to asymmetric loads. For such problems the field method eliminates the well-known numerical problem of “long subintervals”, as well as executing significantly faster than other numerical integration methods.

Copyright © 1974 by ASME
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