Model for the Force–Displacement Relationship of Wire Rope Springs
Publication: Journal of Aerospace Engineering
Volume 21, Issue 1
Abstract
A mathematical model for the restoring force of the wire rope spring is presented. The model is semianalytical in nature and is fully defined by the dimensions and properties of the spring. Emphasis is placed on the tension-compression mode of deformation. An experimental investigation is described in which the force–displacement relationships, for a number of springs, were obtained. For modeling purposes, the restoring force is decomposed into an elastic force and a damping force. The elastic force is modeled by a geometric nonlinear finite beam element. The equivalent cross section is calculated assuming full slip among the individual wires and strands. The damping force is modeled by a constant and a displacement-dependent forces. Based on energy dissipation equivalence, an empirical expression for the damping force is developed.
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Acknowledgments
The Natural Science and Engineering Research Council of Canada and Rowan, Williams, Davies, and Irwin Inc. supported the initial stage of this work through the Industrial Postgraduate Scholarships program. The Ontario Ministry of Education continued the support through the Ontario Graduate Scholarships program.NRC
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Information
Published In
Journal of Aerospace Engineering
Volume 21 • Issue 1 • January 2008
Pages: 1 - 9
Copyright
© 2008 ASCE.
History
Received: Oct 27, 2003
Accepted: Jun 4, 2004
Published online: Jan 1, 2008
Published in print: Jan 2008
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