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MOTION IN A HANGING CABLE WITH VARIOUS DIFFERENT PERIODIC FORCING

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2014, v.21 no.4, pp.281-293
https://doi.org/10.7468/jksmeb.2014.21.4.281
Oh, Hyeyoung
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Abstract

We investigate long-term motions of the cable when cable has different types of periodic forcing term. Various different types of solutions are presented by using the 2nd order Runge-Kutta method under various initial conditions. There appeared to be small- and large-amplitude solutions which have different nodal structure.

keywords
cable, periodic forcing, multiple solutions, large- amplitude, initial values, 2nd order Runge-Kutta

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics