A Simplified Displacement-Rotation Form for the Equations of Motion of Nonlinearly Elastic Shells of Revolution Undergoing Combined Bending and Torsion

[+] Author and Article Information
J. G. Simmonds

Institute of Applied Mathematics and Mechanics, University of Virginia, Charlottesville, VA 22903

J. Appl. Mech 63(2), 539-542 (Jun 01, 1996) (4 pages) doi:10.1115/1.2788901 History: Accepted August 12, 1994; Received August 12, 1994; Online October 26, 2007


By appropriately defining two displacements and a rotation, it is shown that the equations of motion of a shell of revolution undergoing combined axisymmetric bending and torsion, in which the extensional strains and the rotations may be arbitrarily large, can be given a form in which there are three effective extensional strains and two effective bending strains, each of which is only linear or quadratic in the displacements and rotation.

Copyright © 1996 by The American Society of Mechanical Engineers
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