Theoretical and Applied Mechanics
Online ISSN : 1349-4236
Print ISSN : 0285-6042
ISSN-L : 0285-6042
IV. Dynamics and Control o Structures
Eigenvalue Analysis of a Long Cable Modeled as Assembled Links
Shigeru NAKAGIRI
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2001 Volume 50 Pages 159-163

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Abstract

A formulation to evaluate the natural frequencies of a long, elastic cable that hangs down from the top suspension and swings due to its own-weight in a vertical plane is presented. A model of the serial assembly of rigid links interconnected by virtual revolute springs at their joints is employed. The Lagrange’s equations of motion are derived based on the generalized coordinates taken as the link angles. The eigenvalue problem is constituted by means of linearizing the equations. The validity of the present formulation is demonstrated by the numerical examples of a steel cable with flexural rigidity.

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© 2001 by National Committee for IUTAM
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