Quasi-periodic response and stability analysis for a non-linear Jeffcott rotor

Journal of Sound and Vibration

Volumn 190, Issue 2, 1996, Pages 239-253

  Kim, Y B ^a   Noah, S T ^b  

^a Chonnam National University   (South Korea)

^b Department of Electrical and Computer Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DYNAMIC RESPONSE; FAST FOURIER TRANSFORMS; MACHINE VIBRATIONS; MATHEMATICAL MODELS; SYSTEM STABILITY;

ALTERNATING FREQUENCY TIME (AFT); HARMONIC BALANCE METHOD (HBM); NONLINEAR JEFFCOTT ROTORS; QUASIPERIODIC RESPONSE; WINDING NUMBER;

ROTORS;

EID: 0030081113     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0059     Document Type: Article

References (12)

1. D. W. CHILDS 1984 Tubomachinery Report FD-1-84. Rotordynamic characteristics of the HPOTP of the SSME.
2. W. B. DAY 1987 Quarterly of Applied Mathematics 44, 779-792. Asymptotic expansions in nonlinear rotordynamics.
3. Y. B. KIM and S. T. NOAH 1991. Nonlinear Dynamics 1, 221-241. Bifurcation analysis for a modified Jeffcott rotor with a bearing clearance.
4. L. O. CHUA and A. USHIDA 1981 IEEE Transactions on Circuits and Systems CAS-28, 953-971. Algorithms for computing almost-periodic clearance.
5. S. L. LAU, Y. K. CHEUNG and S. Y. WU 1983 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 49, 849-853. Incremental harmonic balance method with multiple time scales for aperiodic vibration of nonlinear systems.
6. F. H. LING 1991 Journal of Sound and Vibration 144, 293-304. Quasi-periodic solutions calcuated with simple shooting technique.
7. S. K. CHOI and S. T. NOAH 1992 Nonlinear Dynamics 3, 105-121. Response and stability analysis of peicewise-linear oscillators under multi-forcing frequencies.
8. Y. B. KIM 1996 accepted in Journal of Sound and Vibration. Quasi-periodic response and stability response for nonlinear systems: a general approach.
9. Y. B. KIM and S. T. NOAH 1991 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 58, 545-553. Stability and bifurcation analysis of oscillators with piecewise-linear characteristics: a general approach.
10. C. KAAS-PETERSEN 1985 Journal of Computational Physics 58, 395-403. Computation of quasi-periodic solutions of forced dissipative systems, I.
11. C. KAAS-PETERSEN 1985 Journal of Computational Physics 64, 433-442. Computation of quasi-periodic solutions of forced dissipative systems, II.
12. Y. B. KIM and S. T. NOAH 1992 International Journal of Non-Linear Mechanics 27, 833-843. Periodic response and crisis behavior for a system with piecewise-smooth non-linearities.