Excitation-induced stability in a bistable Duffing oscillator: Analysis and experiments

Z. Wu; R. L. Harne; K. W. Wang

doi:10.1115/1.4026974

Excitation-induced stability in a bistable Duffing oscillator: Analysis and experiments

Z. Wu, R. L. Harne, K. W. Wang

Mechanical Engineering

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

16 Scopus citations

Abstract

The excitation-induced stability (EIS) phenomenon in a harmonically excited bistable Duffing oscillator is studied in this paper. Criteria to predict system and excitation conditions necessary to maintain EIS are derived through a combination of the method of harmonic balance, perturbation theory, and stability theory for Mathieu's equation. Accuracy of the criteria is verified by analytical and numerical studies. We demonstrate that damping primarily determines the likelihood of attaining EIS response when several dynamics coexist while excitation level governs both the existence and frequency range of the EIS region, providing comprehensive guidance for realizing or avoiding EIS dynamics. Experimental results are in good agreement regarding the comprehensive influence of excitation conditions on the inducement of EIS.

Original language	English (US)
Article number	011016
Journal	Journal of Computational and Nonlinear Dynamics
Volume	10
Issue number	1
DOIs	https://doi.org/10.1115/1.4026974
State	Published - 2015

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Mechanical Engineering
Applied Mathematics

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10.1115/1.4026974

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title = "Excitation-induced stability in a bistable Duffing oscillator: Analysis and experiments",

abstract = "The excitation-induced stability (EIS) phenomenon in a harmonically excited bistable Duffing oscillator is studied in this paper. Criteria to predict system and excitation conditions necessary to maintain EIS are derived through a combination of the method of harmonic balance, perturbation theory, and stability theory for Mathieu's equation. Accuracy of the criteria is verified by analytical and numerical studies. We demonstrate that damping primarily determines the likelihood of attaining EIS response when several dynamics coexist while excitation level governs both the existence and frequency range of the EIS region, providing comprehensive guidance for realizing or avoiding EIS dynamics. Experimental results are in good agreement regarding the comprehensive influence of excitation conditions on the inducement of EIS.",

author = "Z. Wu and Harne, {R. L.} and Wang, {K. W.}",

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AU - Harne, R. L.

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PY - 2015

Y1 - 2015

N2 - The excitation-induced stability (EIS) phenomenon in a harmonically excited bistable Duffing oscillator is studied in this paper. Criteria to predict system and excitation conditions necessary to maintain EIS are derived through a combination of the method of harmonic balance, perturbation theory, and stability theory for Mathieu's equation. Accuracy of the criteria is verified by analytical and numerical studies. We demonstrate that damping primarily determines the likelihood of attaining EIS response when several dynamics coexist while excitation level governs both the existence and frequency range of the EIS region, providing comprehensive guidance for realizing or avoiding EIS dynamics. Experimental results are in good agreement regarding the comprehensive influence of excitation conditions on the inducement of EIS.

AB - The excitation-induced stability (EIS) phenomenon in a harmonically excited bistable Duffing oscillator is studied in this paper. Criteria to predict system and excitation conditions necessary to maintain EIS are derived through a combination of the method of harmonic balance, perturbation theory, and stability theory for Mathieu's equation. Accuracy of the criteria is verified by analytical and numerical studies. We demonstrate that damping primarily determines the likelihood of attaining EIS response when several dynamics coexist while excitation level governs both the existence and frequency range of the EIS region, providing comprehensive guidance for realizing or avoiding EIS dynamics. Experimental results are in good agreement regarding the comprehensive influence of excitation conditions on the inducement of EIS.

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Excitation-induced stability in a bistable Duffing oscillator: Analysis and experiments

Abstract

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