Method of multiple scales for vibration analysis of rotor-shaft systems with non-linear bearing pedestal model

Journal of Sound and Vibration

Volumn 218, Issue 2, 1998, Pages 293-305

  Ji, Z ^a   Zu, J W ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BEARINGS (MACHINE PARTS); BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; DAMPING; MATHEMATICAL MODELS; NATURAL FREQUENCIES; ROTATING MACHINERY; ROTATION; ROTORS; SHAFTS (MACHINE COMPONENTS); SHEAR DEFORMATION; SPRINGS (COMPONENTS);

TIMOSHENKO BEAM THEORY;

MACHINE VIBRATIONS;

EID: 0032202658     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1835     Document Type: Article

References (10)

1. T. YAMAMOTO, Y. ISHIDA, T. IKEDAM and M. YAMADA 1981 Bulletin JSME 24, 192-199. Subharmonic and summed-and-differential harmonic oscillations of an unsymmetrical rotor.
2. Y. ISHIDA, T. IKEDA and T. YAMAMOTO 1990 ASME Journal of Vibration and Acoustics 112, 288-297. Nonlinear forced oscillations caused by quadratic nonlinearity in a rotating shaft.
3. T. YAMAMOTO, Y. ISHIDA and K. AIZAWA 1979 Bulletin JSME 22, 164-173. On the subharmonic oscillations at unsymmetrical shafts.
4. T. YAMAMOTO, Y. ISHIDA, T. IKEDA and M. YAMAMOTO 1982 Bulletin JSME 25, 1969. Nonlinear forced oscillations of a rotation shaft carrying an unsymmetrical rotor at the major critical speed.
5. A. C. LEE, Y. KANG and S. L. LIU 1991 ASME Journal of Applied Mechanics 58, 776-783. A modified transfer matrix for the linear rotor-bearing system.
6. A. C. LEE, Y. KANG and S. L. LIU 1993 International Journal of Mechanical Sciences 35, 479-490. Steady-state analysis of a rotor mounted on nonlinear bearings by the transfer matrix method.
7. E. H. DOWELL 1980 ASME Journal of Applied Mechanics 47, 172-176. Component mode analysis of nonlinear and nonconservative systems.
8. M. PAKDEMIRLI and A. H. NAYFEH 19xx Journal of Vibration and Acoustics 116, 443-439. Nonlinear vibrations of a beam-spring-mass system.
9. J. W. ZU and R. P. S. HAN 1992 ASME Journal of Applied Mechanics 59, 197-204. Natural frequencies and normal nodes of a spinning Timoshenko beam with general boundary conditions.
10. A. H. NAYFEH 1981 Introduction to Perturbation Techniques. New York: Wiley.