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ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

On Experimental Periodic Motions in a Duffing Oscillatory Circuit

Journal of Vcibration Testing and System Dynamics 3(1) (2019) 55--69 | DOI:10.5890/JVTSD.2019.03.005

Yu Guo$^{1}$, Albert C.J. Luo$^{2}$, Zeltzin Reyes$^{1}$, Abigail Reyes$^{1}$, Rojitha Goonesekere$^{1}$

$^{1}$ McCoy School of Engineering, Midwestern State University, Wichita Falls, TX 76308, USA

$^{2}$ Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, IL 62026-1805, USA

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Abstract

In this paper, the dynamics of a Duffing oscillatory system are studied through both an experimental method and analytical predictions. A Duffing oscillatory circuit is built and experimental data of various periodic motions are obtained. The semi-analytical method using discrete implicit maps is adopted to determine such periodic trajectories analytically using the same parameters as in the experiments. Finally, illustrations of various periodic motions on both trajectories and harmonic amplitudes are demonstrated between the experimental data and analytical predictions. From the current experimental technology, experimental results may not provide real results in nonlinear dynamical systems.

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