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.

Date Published: 31 December 2008
PDF: 7 pages
Proc. SPIE 7130, Fourth International Symposium on Precision Mechanical Measurements, 71305S (31 December 2008); doi: 10.1117/12.819768

Published in SPIE Proceedings Vol. 7130:
Fourth International Symposium on Precision Mechanical Measurements
Yetai Fei; Kuang-Chao Fan; Rongsheng Lu, Editor(s)