Research Article
Oct 1966
Compact Solution of Doubly-Curved Shell Equation
Publication: Journal of the Engineering Mechanics Division
Volume 92, Issue 5
Abstract
Solutions of the governing differential equation for a restricted class of doubly-curved shells are presented. The Levy method of solution is used. Complementary functions are developed following the method used by Jenkins. The resulting formulation is believed to be more convenient to use than others previously presented. In particular, this formulation simplifies the setting up of shell edge stiffness matrices or other shells. Two alternative complementary functions are presented. One degenerates to a cylindrical shell with shear diaphragm support on its curved edges, and the other to a cylindrical shell with shear diaphragm support on its straight edges. A separate solution is presented for a flat plate in combined flexure and plane stress. Particular integrals applicable to all cases are given for both normal and tangential load components.
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Published In
Journal of the Engineering Mechanics Division
Volume 92 • Issue 5 • October 1966
Pages: 1 - 23
Copyright
© 1966 American Society of Civil Engineers.
History
Published in print: Oct 1966
Published online: Feb 3, 2021
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Authors
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Graham H. Powell
Asst. Specialist, Div. of Structural Engrg. and Structural Mechanics, Univ. of California, Berkeley, Calif.; formerly, Lecturer in Civ. Engrg., Univ. of Canterbury, Christchurch, New Zealand
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