Bifurcation and chaos response of a nonlinear cracked rotor

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 8, Issue 3, 1998, Pages 597-607

  Jibing, Zheng ^a   Zan, Mi ^b   Guang, Meng ^b  

^a SOUTHWEST JIAOTONG UNIVERSITY   (China)

^b NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032016742     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127498000395     Document Type: Article

References (8)

1. Cheng, C. [1989] "Hopf-Landau bifurcations of higher dimensional tori," Appl. Math. Mech. 10, 531-539.
2. Gao. J. & Zhu X. [1992] "Observation on the dynamic behaviour of cracked rotor," J. Northwestern Polytechnical University 10, 434-439.
3. Gasch, R. [1993] "A survey of the dynamic behavior of a simple rotating shaft with a transverse crack," J. Sound Vib. 162, 313-332.
4. Jensen, M. H., Bak, P. & Bohr, T. [1984] "Transition to chaos by interaction of resonances in dissipative systems I. Circle maps," Phys. Rev. 30, 1960-1969.
5. Meng, G., Gasch, R. [1992] "The nonlinear influences of whirl speed on the stability and response of a cracked rotor," J. Mach. Vib. 4, 216-230.
6. Muszynska, A. [1982] "Shaft crack detection," Proc. 7th Mach. Dyn. Sem. Edmonton, Canada.
7. m(m ≤ 3)," Comm. Math. Phys. 64,35-40.
8. Wolf, A., Swift, J. B., Swinney, H. L. & Vastano, A. [1985] "Determining Lyapunov exponents from a time series," Physica 16D, 285-317.