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Static Perturbation Analysis of Inclined Shallow Elastic Cables under general 3D-loads

Static Perturbation Analysis of Inclined Shallow Elastic Cables under general 3D-loads AbstractInclined, shallow, elastic cables under static 3D loads, arbitrarily distributed, are studied. Cables having natural length both larger or smaller than the distance between the supports (i.e. suspended or taut cables, respectively), are considered. Kinematically exact equations are derived, and projected onto an orthonormal basis intrinsic to the chord. A perturbation procedure is proposed, which extrapolates the solution relevant to the taut string, up to the desired order, and leads to a closed-form solution. Lower-order solutions are consistent with the hypotheses normally adopted in technical environment. Emphasis is given to the mechanical interpretation of the cable behavior. The asymptotic solution is compared to the explicit (not in closed-form) solution of the literature. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Curved and Layered Structures de Gruyter

Static Perturbation Analysis of Inclined Shallow Elastic Cables under general 3D-loads

Curved and Layered Structures , Volume 5 (1): 10 – Aug 1, 2016

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References (32)

Publisher
de Gruyter
Copyright
© by Angelo Luongo and Daniele Zulli, published by De Gruyter
eISSN
2353-7396
DOI
10.1515/cls-2018-0018
Publisher site
See Article on Publisher Site

Abstract

AbstractInclined, shallow, elastic cables under static 3D loads, arbitrarily distributed, are studied. Cables having natural length both larger or smaller than the distance between the supports (i.e. suspended or taut cables, respectively), are considered. Kinematically exact equations are derived, and projected onto an orthonormal basis intrinsic to the chord. A perturbation procedure is proposed, which extrapolates the solution relevant to the taut string, up to the desired order, and leads to a closed-form solution. Lower-order solutions are consistent with the hypotheses normally adopted in technical environment. Emphasis is given to the mechanical interpretation of the cable behavior. The asymptotic solution is compared to the explicit (not in closed-form) solution of the literature.

Journal

Curved and Layered Structuresde Gruyter

Published: Aug 1, 2016

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