Chaotic Characteristics under an Asymmetric Restoring Force

We presented a vibration system that has a horizontally asymmetric restoring force as a result of attaching a spring perpendicularly to the direction of vibration and imparting the guide way of the oscillator with an angle relative to the direction of vibration. And we have investigated the chaotic...

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Bibliographic Details
Published in:Journal of System Design and Dynamics 2010, Vol.4(2), pp.360-368
Main Authors: TAUE, Katsuhira, KOIZUMI, Tadayoshi
Format: Article
Language:English
Subjects:
Asymmetric Restoring Force
Asymmetry
Chaos
Chaos theory
Dynamical systems
Dynamics
Forced Vibration
Mathematical analysis
Nonlinear Vibration
Numerical Analysis
Period Doubling Bifurcation
Renovating
Springs
Springs (elastic)
Vibration
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Summary:We presented a vibration system that has a horizontally asymmetric restoring force as a result of attaching a spring perpendicularly to the direction of vibration and imparting the guide way of the oscillator with an angle relative to the direction of vibration. And we have investigated the chaotic characteristics of the system by performing numerical calculations. The purpose of this study is to clarify the vibration characteristics and to contribute to the creation of devices for generating nonlinear chaotic vibrations. From the analytical results, it was found that imparting an angle to the guide way facilitates the transition of the system vibrations to chaos. Transition to chaotic vibrations occurs more easily when the excitation amplitude is smaller than the natural length of the spring and when the spring is initially compressed. However, chaotic vibrations occur even when the spring is initially tense when an angle is imparted to the guide way.
ISSN:1881-3046
1881-3046
DOI:10.1299/jsdd.4.360