The dynamics of the pendulum suspended on the forced Duffing oscillator

P. Brzeski; P. Perlikowski; S. Yanchuk; T. Kapitaniak

doi:10.1016/j.jsv.2012.07.021

The dynamics of the pendulum suspended on the forced Duffing oscillator

P. Brzeski
, P. Perlikowski
, S. Yanchuk
, T. Kapitaniak

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the dynamics of the pendulum suspended on the forced Duffing oscillator. The detailed bifurcation analysis in two parameter space (amplitude and frequency of excitation) which presents both oscillating and rotating periodic solutions of the pendulum has been performed. We identify the areas with low number of coexisting attractors in the parameter space as the coexistence of different attractors has a significant impact on the practical usage of the proposed system as a tuned mass absorber.

Original language	English
Pages (from-to)	5347-5357
Number of pages	11
Journal	Journal of Sound and Vibration
Volume	331
Issue number	24
DOIs	https://doi.org/10.1016/j.jsv.2012.07.021
Publication status	Published - 19 Nov 2012
Externally published	Yes

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10.1016/j.jsv.2012.07.021

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title = "The dynamics of the pendulum suspended on the forced Duffing oscillator",

abstract = "We investigate the dynamics of the pendulum suspended on the forced Duffing oscillator. The detailed bifurcation analysis in two parameter space (amplitude and frequency of excitation) which presents both oscillating and rotating periodic solutions of the pendulum has been performed. We identify the areas with low number of coexisting attractors in the parameter space as the coexistence of different attractors has a significant impact on the practical usage of the proposed system as a tuned mass absorber.",

author = "P. Brzeski and P. Perlikowski and S. Yanchuk and T. Kapitaniak",

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AU - Perlikowski, P.

AU - Yanchuk, S.

AU - Kapitaniak, T.

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Y1 - 2012/11/19

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AB - We investigate the dynamics of the pendulum suspended on the forced Duffing oscillator. The detailed bifurcation analysis in two parameter space (amplitude and frequency of excitation) which presents both oscillating and rotating periodic solutions of the pendulum has been performed. We identify the areas with low number of coexisting attractors in the parameter space as the coexistence of different attractors has a significant impact on the practical usage of the proposed system as a tuned mass absorber.

UR - https://www.scopus.com/pages/publications/84865243603

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DO - 10.1016/j.jsv.2012.07.021

M3 - Article

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SP - 5347

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JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

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The dynamics of the pendulum suspended on the forced Duffing oscillator

Abstract

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