Closed-Form Formula of the Transverse Dynamic Stiffness of a Shallowly Inclined Taut Cable
Joint Authors
Yan, Xing-Fei
Chen, Zu-he
Dan, Dan-Hui
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-28
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The segmented vibration-governed equations and their general solutions for cables acted upon by intermediate transverse forces are derived by applying Hamilton’s principle.
Including the effects of sagging, flexible stiffness, clamped boundary conditions, and inclination angle of the cable, the element-wise dynamic stiffness for each cable segment, split into segments having unique transverse forces, is derived.
By using methods from the global stiffness assembly process of FEM, the global level of the cables’ dynamic equilibrium equation is obtained, and, as a result, the final closed-form formula of transverse dynamic stiffness is derived.
Additionally, the corresponding analytic form, without considering sagging effects, is also obtained.
Case studies are conducted on the aspects of accuracy, rationality of the distribution on the spatial field, and frequency domains of dynamic stiffness calculations.
By comparison with the Guyan-based static FEM reduction method, it is shown that the result obtained from the proposed closed-form solution, which includes sagging effects, is exact and rational, thus creating a powerful tool in transverse vibration analysis.
American Psychological Association (APA)
Dan, Dan-Hui& Chen, Zu-he& Yan, Xing-Fei. 2014. Closed-Form Formula of the Transverse Dynamic Stiffness of a Shallowly Inclined Taut Cable. Shock and Vibration،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1047934
Modern Language Association (MLA)
Dan, Dan-Hui…[et al.]. Closed-Form Formula of the Transverse Dynamic Stiffness of a Shallowly Inclined Taut Cable. Shock and Vibration No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1047934
American Medical Association (AMA)
Dan, Dan-Hui& Chen, Zu-he& Yan, Xing-Fei. Closed-Form Formula of the Transverse Dynamic Stiffness of a Shallowly Inclined Taut Cable. Shock and Vibration. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1047934
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1047934