On the large deformations of C-shaped springs |
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Authors: | C.Y. Wang L.T. Watson |
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Affiliation: | Department of Mathematics, Michigan State University, East Lansing, MI 48824, U.S.A.;Department of Computer Science, Virginia Polytechnic Institute, Blacksburg, VA 24061, U.S.A. |
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Abstract: | Large deflections of C-shaped springs are studied using the theory of the Elastica. The resulting nonlinear differential equation is integrated by a new homotopy method. It is found that the force-displacement curve is decidely nonlinear and depends heavily on the free shape of the spring. The maximum moment is also obtained. |
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