Bifurcation analysis of a mechanical dynamometer with spring

Yihui Cui; Zhi-an Yang; Chao Yun; Cheng-qun Li; Yuan-yuan Wang

doi:10.1117/12.819768

31 December 2008 Bifurcation analysis of a mechanical dynamometer with spring

Yihui Cui, Zhi-an Yang, Chao Yun, Cheng-qun Li, Yuan-yuan Wang

Proceedings Volume 7130, Fourth International Symposium on Precision Mechanical Measurements; 71305S (2008) https://doi.org/10.1117/12.819768
Event: Fourth International Symposium on Precision Mechanical Measurements, 2008, Anhui, China

Abstract

The adequate and essential conditions for chaotic motions of a mechanical dynamometer with spring are studied by the Melnikov's method. Further more, the global bifurcation diagram of the system is obtained; and the transformation including periodic motion, jumping, doubling bifurcation motion, quasi-periodic motion, and chaotic motion. The system could entrance the chaotic motion through the route of quasi-periodic. The system could return periodic motion from chaotic motion by reverse bifurcation. Besides that, the bifurcation curve has the property of self-similitude.

Citation Download Citation

Yihui Cui, Zhi-an Yang, Chao Yun, Cheng-qun Li, and Yuan-yuan Wang "Bifurcation analysis of a mechanical dynamometer with spring", Proc. SPIE 7130, Fourth International Symposium on Precision Mechanical Measurements, 71305S (31 December 2008); https://doi.org/10.1117/12.819768

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