Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:A4L-D

Session:

Number:178

An Influence of Second Harmonic Excitation on Rotation in Parametric Pendulum

Yuichi Yokoi,  Tsuyoshi Higuchi,  Takashi Hikihara,  

pp.178-181

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.178

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Summary:
A double frequency vibration including the second harmonic is introduced as a vertical excitation in a parametrically excited pendulum. The harmonic arises in the motion of a body, corresponding to the excitation, which is affected by rotation of the pendulum. This paper examines the influence of the harmonic on dynamics associated with periodic rotation. It is clarified that the second harmonic with a certain range of phase facilitates the bifurcation with respect to the amplitude of the fundamental in the excitation.

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