Bifurcation and chaos in parametrically excited contact vibrations

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

Volumn 91, Issue , 1996, Pages 59-64

  Narayanan, S ^a   Sekar, P ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BIFURCATION (MATHEMATICS); CHAOS THEORY; CYLINDERS (SHAPES); DAMPING; EQUATIONS OF MOTION; FAST FOURIER TRANSFORMS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; ROTATION; SYSTEM STABILITY;

CONTACT FORCE; GALERKIN ERROR MINIMIZATION; HARMONIC PARAMETRIC EXCITATION; HERTZIAN CONTACT LAW; ROLLING CONTACT; SURFACE WAVINESS AMPLITUDE;

VIBRATIONS (MECHANICAL);

EID: 0030394256     PISSN: 15214613     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (10)

1. Carson, R.M. and Johnson, K.L. 1971. Surface corrugations spontaneously generated in rolling contact disc machine, Wear 17, 59-72.
2. Cheung, Y.K. Chen, S.H. and Lau, S.L. 1990. Application of the incremental harmonic balance method to cubic nonlinear systems, Journal of Sound and Vibration 140(2). 273-286.
3. Crandall, S.H and Pariseanu, G. 1985. Limit-cycle vibrations of a rolling cylinder, International Journal of Non-Linear Mechanics 20(5-6), 385-393.
4. Dareing. D.W. and Johnson, K.L 1975. Fluid film damping of rolling contact vibrations, Journal of Mechanical Engineering Science I Mech E, 17(41), 214-218.
5. Friedmann, P. Hammond, C.E. and Woo, T.H. 1977. Efficient numerical treatment of periodic systems with application to stability problems, International Journal of Numerical Methods in Engineering 11, 1117-1136.
6. Hsu, C.S., 1974. On approximating a general linear periodic system, Journal of Mathematical Analysis and Applications 45, 234-251.
7. Nayak, P.R., 1972. Contact vibrations, Journal of Sound and Vibration 22(3), 297-322.
8. Narayanan, S. and Sekar, P. 1995a. Bifurcations and chaos in contact vibrations in "Nonlinear Dynamics: New Theoretical and Applied Results", edited by Jan Awrejcewicz, 376-392. Akademie-Verlag, Berlin.
9. Narayanan, S. and Sekar, P. 1995b. Numerical analytical methods for nonlinear dynamical systems analysis, Indo-US Symposium on Emerging Trends in Vibration and Noise Engineering. Indusvan 95. Ed. Nakra, B.C and Kundra, T.K., 267-277. Allied Publishers. New Delhi
10. Urabe M. and Reiter, A. 1966. Numerical computation of nonlinear forced oscillations by Galerkin procedure. Journal of Mathematical Analysis and Applications 14, 107-140.