Brief Report
Jun 1973
Nonlinear Dynamics of Curved Cable Elements
Publication: Journal of the Engineering Mechanics Division
Volume 99, Issue 3
Abstract
A finite element analog to the dynamic response of nonlinear cables has been developed which employs straight cable elements to model the curved geometry of the cable system. Temporal as well as spatial variations in cable properties and stress were admitted. Thus, large deflections and rotations could be considered. The purpose of this note is to present the extension of the finite element analog to the case in which strongly-curved elements are used to model the cable system. Straight cable elements are inadequate for strongly-curved cables, in that a large number of straight elements are required to approximate the cable. Furthermore, unless numerous small elements are used, the existence of nodal discontinuities inherent in the straight element assumption leads to spurious results because of the membrane nature of the real problem. Therefore, a curved element is presented for which the continuity of the slope across the nodal points is enforced using direction cosine approximations. A comparison of curved and straight element results demonstrate that more accurate answers are obtained with fewer curved elements.
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Published In
Journal of the Engineering Mechanics Division
Volume 99 • Issue 3 • June 1973
Pages: 616 - 621
Copyright
© 1973 American Society of Civil Engineers.
History
Published in print: Jun 1973
Published online: Feb 3, 2021
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Authors
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John W. Leonard, AM.ASCE
Assoc. Prof. of Civ. Engrg., Illinois Inst. of Tech., Chicago, Ill.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.