Universal Characteristic Frequency Equation for Cable Transverse Component System and Its Universal Numerical Solution
Publication: Journal of Engineering Mechanics
Volume 142, Issue 4
Abstract
It is meaningful to develop an accurate universal approach to solve the dynamical characteristic problem of a cable system combined with additional components used in real engineering. A segmented dynamic governing equation is presented for a taut shallow cable supported in the middle by a transverse component. Then, a universal frequency characteristic equation is proposed that considers all the influence factors, including the flexural rigidity, sagging, inclination angle, finite rigidity or damped boundary condition, and the intermediate supporting component. A general numerical solution is presented by giving an analytical derivative expression for the dynamic stiffness of the cable system. As a result, the modal parameters of an arbitrary complicated cable system can be obtained via the root of the equation. Finally, the accuracy of the proposed approach is verified using numerical cases, and its validity is also proved by applying it to case studies of several typical cable systems.
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Acknowledgments
Supported by the state high-tech research and development plans (863), Grant No. 2014AA110402, the Project of National Key Technology R&D Program in the 12th Five Year Plan of China (Grant No. 2012BAJ11B01), National Nature Science Foundation of China (Grant No. 50978196), the Fundamental Research Funds for the Central Universities, and State Meteorological Administration Special Funds of Meteorological Industry Research (Grant No. 201306102).
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Published In
Journal of Engineering Mechanics
Volume 142 • Issue 4 • April 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: May 13, 2014
Accepted: Sep 3, 2015
Published online: Dec 16, 2015
Published in print: Apr 1, 2016
Discussion open until: May 16, 2016
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