Nonlinear dynamics of a rotating shaft subject to periodic perturbations

American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

Volumn 91, Issue , 1996, Pages 179-184

  McDonald, Robert J ^a   Sri Namachchivaya, N ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DYNAMICS; EQUATIONS OF MOTION; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; ROTATING MACHINERY; ROTATION;

GALERKIN PROCEDURE; HETEROCLINIC ORBITS; HOMOCLINIC ORBITS; PERTURBED HAMILTONIAN EQUATIONS;

SHAFTS (MACHINE COMPONENTS);

EID: 17544365285     PISSN: 15214613     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (10)

1. Fenichel, N., 1971, "Persistence and Smoothness of Invariant Manifolds for Flows," Indiana University Mathematical Journal, Vol. 21, pp 193-225.
2. Fenichel, N., 1974, "Asymptotic Stability with Rate Conditions," Indiana University Mathematical Journal, Vol. 23, pp. 1109-1137.
3. Fenichel, N., 1977, "Asymptotic Stability with Rate Conditions, II," Indiana University Mathematical Journal, Vol. 26, pp. 81-93.
4. McDonald, R., 1995, "Hamiltonian Normal Forms for Non-Autonomous Systems: Application to Rotating Shafts," M.S. Thesis, University of Illinois at Urbana-Champaign, Urbana, IL.
5. McDonald, R., Murdock, J., and Sri Namachchivaya, N., 1996, "Normal Forms for Nonlinear Hamiltonian Systems with Weak Periodic Perturbations," Submitted for Publication.
6. McDonald, R. and Sri Namachchivaya, N., 1996a, "Nonlinear Dynamics of a Rotating Shaft Subject to Dissipative and Periodic Perturbations," In Preparation.
7. McDonald, R. and Sri Namachchivaya, N., 1996b, "Global Bifurcations in Periodically Perturbed Gyroscopic Systems with Application to Rotating Shafts," Submitted for Publication.
8. Meyer, K. and Hall, G., 1992, Introduction to Hamiltonian Dynamical Systems and the N-Body Problem, Springer-Verlag, New York.
9. Nagata, W. and Sri Namachchivaya, N., 1996, "Bifurcations in Gyroscopic Systems with Application to Rotating Shaft," Submitted for Publication.
10. Wiggins, S., 1988, Global Bifurcations and Chaos, Springer-Verlag, New York.