Analysis of mechanical dynamometer based on bifurcation theory

Yi-hui Cui; Zhi-an Yang; Chao Yun; Gao-feng Li; Xue-gang Sun

doi:10.1117/12.807526

12 January 2009 Analysis of mechanical dynamometer based on bifurcation theory

Yi-hui Cui, Zhi-an Yang, Chao Yun, Gao-feng Li, Xue-gang Sun

Proceedings Volume 7133, Fifth International Symposium on Instrumentation Science and Technology; 713308 (2009) https://doi.org/10.1117/12.807526
Event: International Symposium on Instrumentation Science and Technology, 2008, Shenyang, China

Abstract

In order to study the nonlinear characteristics of a mechanical dynamometer, a mathematic model is established using the Lagrangian method. The adequate and essential conditions for homoclinic orbit and periodical orbit of the system are discussed using the model. A bifurcation diagram of the external excitation is obtained through simulation. Simulation results clearly show the transformation from periodic motion to chaotic motion. The system can enter the chaotic motion through the quasi-periodic route; Poincare sections and phase portraits validate the doubling bifurcation motion of the system. Therefore, typical nonlinear vibration can be found in this system, especially when the excitation frequency is changing between its lower and higher values. For the purpose of improving the measuring accuracy, the parameters of the mechanical dynamometer should be designed to keep the system in periodic and quasi-periodic motions..

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Yi-hui Cui, Zhi-an Yang, Chao Yun, Gao-feng Li, and Xue-gang Sun "Analysis of mechanical dynamometer based on bifurcation theory", Proc. SPIE 7133, Fifth International Symposium on Instrumentation Science and Technology, 713308 (12 January 2009); https://doi.org/10.1117/12.807526

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