Korean J. Math. Vol. 23 No. 4 (2015) pp.521-536
DOI: https://doi.org/10.11568/kjm.2015.23.4.521

Nonlinear motions in a hanging cable

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Published: Dec 30, 2015
Keywords:
cable, nonlinear, node, multiple motions, asymmetric, initial value problem
Mathematics Subject Classification:
35G55, 35B05

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Hyeyoung Oh
Department of Mathematics Education Incheon National University Incheon 402-808, Korea

Abstract

We investigate the nonlinear motions of discrete loaded cable with different periodic forcing. We present the numerical evidence of the nonlinear motions of the cable by solving initial value problems and obtaining the motions after a long time. There appeared to be various types of nonlinear oscillations over a wide range of frequencies and amplitudes for the periodic forcing term.


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Supporting Agencies

This work was supported by Incheon National University Research Grant in 2015.

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