On Balance and Variational Formulations of the Equation of Motion of a Body Deploying Along a Cable-Reference-Cited by-同舟云学术

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

Published:1997-06-01 Issue:2 Volume:64 Page:369-374
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Crellin E. B.¹,Janssens F.¹,Poelaert D.¹,Steiner W.²,Troger H.²

Affiliation:

1. ESTEC Noordwijk

2. Technical University Vienna

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/64/2/369/5464769/369_1.pdf

Reference11 articles.

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3. Hamel, G., 1949, “Theoretische Mechanik,” Grundlehren der Mathematischen Wissenschaften, Vol. 62, Springer-Verlag, Berlin, p. 643.

4. Kohler, P., Maag, W., Wehrli, R., Weber, R., and Brauchli, H., 1978, “Dynamics of a System of two Satellites Connected by a Deployable and Extensible Tether of Finite Mass,” ESTEC Contract No. 2992/76/NL/AK(SC).

5. Lur’e, L., 1968, “Me´canique Analytique,” Vols. 1 and 2, Masson &Cie, Paris.

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