The Equations of Motion for the Torsional and Bending Vibrations of a Stranded Cable

[+] Author and Article Information
Warren N. White, Srinivasan Venkatasubramanian, Chi-Lung D. Huang

Mechanical Engineering Department, Kansas State University, Manhattan, KS 66506-5106

P. Michael Lynch

Mechanical Engineering Department, Tulane University, New Orleans, LA 70118

J. Appl. Mech 59(2S), S224-S229 (Jun 01, 1992) doi:10.1115/1.2899493 History: Received November 15, 1990; Revised April 25, 1991; Online March 31, 2008


Equations of motion of a thin, stranded elastic cable with an eccentric, attached mass and subject to aerodynamic loading are derived using Hamilton’s principle. Coupling between the translational and rotational degrees of freedom owing to inertia, elasticity, and stranded geometry are considered. By invoking simplifying assumptions, the equations of motion are reduced to those obtained previously by other researchers.

Copyright © 1992 by The American Society of Mechanical Engineers
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