Research Article
Feb 1969
Large Deflections of Viscoelastic Rings
Publication: Journal of the Engineering Mechanics Division
Volume 95, Issue 1
Abstract
A method for the determination of finite deflections and associated moments in a circular ring of a linearly viscoelastic material is presented. The analysis is restricted to small strains. The problem consists of the successive solution of a nonlinear integro-differential equation and a linear integral equation. The numerical solution is carried out with none of the convergence difficulties encountered previously for large loads in the solution for the finite deflections of a viscoelastic cantilever by iteration. In addition to the exact formulation, an approximate method is adapted for use on a statically indeterminate ease, and is shown, for the problem treated here, to be a generalization of the elastic-viscoelastic analogy for the case of small deflections. Examples are given illustrating the range where the approximation is useful.
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Published In
Journal of the Engineering Mechanics Division
Volume 95 • Issue 1 • February 1969
Pages: 223 - 234
Copyright
© 1969 American Society of Civil Engineers.
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Published in print: Feb 1969
Published online: Feb 3, 2021
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Authors
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Michael Schoenberg
Asst. Prof., Univ. Heights Dept. of Mathematics, New York Univ., Bronx, N.Y.
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