Singular Solutions for Shallow Cylindrical Shells

[+] Author and Article Information
R. Doré

Department of Mechanical Engineering, Ecole Polytechnique, Montreal, Canada

W. Flügge

Department of Applied Mechanics, Stanford University, Stanford, Calif.

J. Appl. Mech 40(1), 215-220 (Mar 01, 1973) (6 pages) doi:10.1115/1.3422929 History: Received August 01, 1971; Online July 12, 2010


Using solutions obtained by separation of variables, the set of singular solutions of the shallow cylindrical shell equation is completed by finding a particular integral of a second-order problem. These new solutions are investigated, and those for concentrated forces and for all displacement dislocations are identified. The stress function and the components of the displacement vector are given for all these solutions.

Copyright © 1973 by ASME
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