On Balance and Variational Formulations of the Equation of Motion of a Body Deploying Along a Cable

[+] Author and Article Information
E. B. Crellin, F. Janssens, D. Poelaert

ESTEC Noordwijk

W. Steiner, H. Troger

Technical University Vienna

J. Appl. Mech 64(2), 369-374 (Jun 01, 1997) (6 pages) doi:10.1115/1.2787316 History: Received August 22, 1995; Revised July 19, 1996; Online October 25, 2007


The equation of motion of a body moving along a vertically hanging cable by deploying the cable from the body or retrieving the cable in the body is derived. The derivation of the equation is given both by means of balance principles and a variational principle. Due to the fact that this system is not conservative the derivation by means of the variational principle requires the introduction of the Carnot energy loss concept. Its explanation is the main objective of this paper. The motion of the free falling folded string and a horizontally moving folded string modelling a whip are treated as examples.

Copyright © 1997 by The American Society of Mechanical Engineers
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