Power flow behaviour of the duffing oscillator

J. Yang, Y. P. Xiong, J. T. Xing

Research output: Chapter in Book/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

Vibrational power flow behaviour of the Duffing oscillator is investigated. A first order harmonic balance approximation is adopted to obtain analytical formulations of power flow variables. Using a Runge-Kutta method, power flows of the system undergoing sub- or super- harmonic resonances or even chaotic motions are derived numerically to reveal the corresponding power flow characteristics. The results obtained by using both methods agree well with each other when the excitation frequency is close to the linearized natural frequency. The effects of different parameters on power flows are examined. It is shown that the super-harmonic resonance introduces a large time-averaged input power and also a high level of maximum kinetic energy. It is also found that power flow quantities may become non-unique and sensitive to initial conditions. Some inherently nonlinear power flow characteristics are observed. The findings provide useful information for the designs of nonlinear vibration isolation systems.

Original languageEnglish
Title of host publicationInternational Conference on Noise and Vibration Engineering 2012, ISMA 2012, including USD 2012
Subtitle of host publicationInternational Conference on Uncertainty in Structure Dynamics
PublisherKatholieke Universiteit Leuven
Pages2601-2610
Number of pages10
ISBN (Print)9781622768257
Publication statusPublished - 2012
Externally publishedYes
Event25th International Conference on Noise and Vibration engineering, ISMA2012 in conjunction with the 4th International Conference on Uncertainty in Structural Dynamics, USD 2012 - Leuven, Belgium
Duration: 17 Sep 201219 Sep 2012

Publication series

NameInternational Conference on Noise and Vibration Engineering 2012, ISMA 2012, including USD 2012: International Conference on Uncertainty in Structure Dynamics
Volume4

Conference

Conference25th International Conference on Noise and Vibration engineering, ISMA2012 in conjunction with the 4th International Conference on Uncertainty in Structural Dynamics, USD 2012
Country/TerritoryBelgium
CityLeuven
Period17/09/1219/09/12

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Mechanical Engineering
  • Acoustics and Ultrasonics

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