Bifurcation and chaos in geared rotor bearing system by incremental harmonic balance method

Journal of Sound and Vibration

Volumn 226, Issue 3, 1999, Pages 469-492

  Raghothama, A ^a   Narayanan, S ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000718955     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1999.2264     Document Type: Article

References (12)

1. A. KAHRAMAN and R. SINGH 1991 Journal of Sound and Vibrations 144, 469-506. Nonlinear dynamics of a geared rotor bearing system with multiple clearance.
2. A. KAHRAMAN and R. SINGH 1991 Journal of Sound and Vibration 146, 135-156. Interactions between time-varying mesh stiffness and clearance nonlinearities in geared system.
3. A. RAGHOTHAMA 1993 M.S. thesis, Indian Institute of Technology, Madras. Bifurcation and chaos in Gear and cam mechanisms with clearance type of nonlinearities.
4. G. W. BLANKENSHIP and A. KAHRAMAN 1995 Journal of Sound and Vibration 185, 743-765, Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type nonlinearity.
5. A. KAHRAMAN and G. W. BLANKENSHIP 1996 Journal of Sound and Vibration 194, 317-336. Interactions between commensurate parametric and forcing excitations in a system with clearance.
6. C. PADMANABHAN and R. SINGH 1996 Journal of Acoustical Society of America 99, 324-334. Analysis of periodically forced nonlinear Hill's oscillator with application to a geared system.
7. A. KAHRAMAN and G. W. BLANKENSHIP 1997 Journal of Applied Mechanics 64, 217-226 Experiments on nonlinear dynamic behavior of an oscillator with clearance and periodically time-varying parameters.
8. C. W. WONG, W. S. ZHANG and S. L. LAU 1991 Journal of Sound and Vibration 149, 91-105. Periodic forced vibration of unsymmetrical piecewise linear systems by incremental harmonic balance method.
9. S. L. LAU and W.-S. ZHANG 1992 Journal of Applied Mechanics 59,153-160. Nonlinear vibrations of piecewise linear systems by incremental harmonic balance method.
10. P. FRIEDMANN, C. E. HAMMOND and T. H. WOO 1977 International Journal of Numerical Methods in Engineering 11, 1117-1136. Efficient numerical treatment of periodic systems with application to stability problems.
11. A. Y. T. LEUNG and S. K. CHUI 1995 Journal of Sound and Vibration 181, 619-633. Nonlinear vibration of coupled Duffing oscillators by an improved incremental harmonic balance method.
12. A. WOLF, J. B. SWIFT, H. L. SWINNEY and J. A. VASTANO 1985 Physica 16D, 285-331 Determining Lyapunov exponents from a time series.