Characterization of torsional instabilities in a Hooke's joint driven system via maximal Lyapunov exponents

Journal of Sound and Vibration

Volumn 194, Issue 1, 1996, Pages 83-91

  Asokanthan, S F ^a   Wang, X H ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

HOOKE JOINT DRIVEN SYSTEM; LINEARIZED ANALYTICAL MODELS; LYAPUNOV EXPONENTS; NONLINEAR VELOCITY RATIO; TORSIONAL INSTABILITIES;

DEGREES OF FREEDOM (MECHANICS); FREQUENCIES; GRAPH THEORY; LYAPUNOV METHODS; MATHEMATICAL MODELS; RESONANCE; STABILITY; UNIVERSAL JOINTS; VELOCITY;

DYNAMICS;

EID: 0030568657     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0345     Document Type: Article

References (10)

1. B. PORTER 1961 Journal of Mechanical Engineering Science 3, 324-329. A theoretical analysis of the torsional oscillation of a system incorporating a Hooke's joint.
2. B. PORTER and R. W. GREGORY 1963 Journal of Mechanical Engineering Science 5, 191-200. Non-linear torsional oscillation of a system incorporating a Hooke's joint.
3. S. F. ASOKANTHAN and M. C. HWANG 1993 ASME Journal of Vibration and Acoustics (Accepted). Torsional instabilities in a rotational system incorporating a Hooke's joint.
4. S. T. ARIARATNAM and W. C. XIE 1989 Non-linear Dynamics in Engineering Systems, IUTAM Symposium, Stuttgart/Germany, 1-8. Lyapunov exponents and stochastic bifurcations.
5. S. T. ARIARATNAM and W. C. XIE 1992 ASME Journal of Applied Mechanics 59, 664-673. Lyapunov exponents and stochastic stability of coupled linear systems under real noise excitation.
6. N. SRI NAMACHCHIVAYA and H. J. VAN ROESSEL 1993 Journal of Statistical Physics 71, nos. 3/4. Maximal Lyapunov exponent and rotation numbers for two coupled oscillators driven by real noise.
7. W. V. WEDIG 1989 Non-linear Dynamics in Engineering System, IUTAM Symposium, Stuttgart/ Germany, 337-344. Analysis and simulation of non-linear stochastic systems.
8. W. V. WEDIG, Y. K. LIN and G. Q. CAI 1990 Non-linear Dynamics 1, 75-90. Necessary and sufficient conditions for existence of stationary solutions of some nonlinear stochastic system.
9. W. V. WEDIG 1992 Non-linear Stochastic Mechanics, IUTAM Symposium Turin, 523-529. Simulation and analysis of mechanical systems with parameter fluctuation.
10. G. L. CHAPMAN 1993 Undergraduate Honours Thesis, Department of Mechanical Engineering, University of Queensland, Australia. Dynamic instabilities in a torsional system incorporating a Hooke's joint.