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Proceedings Paper

Analysis of mechanical dynamometer based on bifurcation theory
Author(s): Yi-hui Cui; Zhi-an Yang; Chao Yun; Gao-feng Li; Xue-gang Sun
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Paper 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..

Paper Details

Date Published: 12 January 2009
PDF: 6 pages
Proc. SPIE 7133, Fifth International Symposium on Instrumentation Science and Technology, 713308 (12 January 2009); doi: 10.1117/12.807526
Show Author Affiliations
Yi-hui Cui, BeiHang Univ. (China)
Zhi-an Yang, Tangshan College (China)
Chao Yun, BeiHang Univ. (China)
Gao-feng Li, Tangshan College (China)
Xue-gang Sun, Beihang Univ. (China)

Published in SPIE Proceedings Vol. 7133:
Fifth International Symposium on Instrumentation Science and Technology
Jiubin Tan; Xianfang Wen, Editor(s)

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