Experiments and numerical results on non-linear vibrations of an impacting Hertzian contact. Part 2: Random excitation

Journal of Sound and Vibration

Volumn 265, Issue 2, 2003, Pages 309-327

  Perret Liaudet, J ^a   Rigaud, E ^a  

^a LABORATOIRE DE TRIBOLOGIE ET DYNAMIQUE DES SYSTÈMES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES; MONTE CARLO METHODS; OSCILLATORS (MECHANICAL); WHITE NOISE;

HERTZIAN CONTACT;

VIBRATIONS (MECHANICAL);

EID: 0043271105     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(02)01267-1     Document Type: Article

References (12)

1. E. Rigaud, J. Perret-Liaudet, Experiments and numerical results on nonlinear vibrations of an impacting Hertzian contact. Part I: harmonic excitation, Journal of Sound and Vibration 265 (2) (2003) 289-307, this issue.
2. R. Nayak, Contact vibrations, Journal of Sound and Vibration 22 (3) (1972) 297-322.
3. A. Soom, C. Kim, Interactions between dynamic normal and frictional forces during unlubricated sliding, American Society of Mechanical Engineers Journal of Lubrication Technology 105 (1983) 221-229.
4. A. Soom, C. Kim, Roughness-induced dynamic loading at dry and boundary lubricated sliding contacts, American Society of Mechanical Engineers Journal of Lubrication Technology 105 (1983) 514-517.
5. A. Soom, J.-W. Chen, Simulation of random surface roughness-induced contact vibrations at Hertzian contacts during steady sliding, American Society of Mechanical Engineers Journal of Tribology 108 (1986) 123-127.
6. D. Hess, A. Soom, C. Kim, Normal vibrations and friction at a Hertzian contact under random excitation: theory and experiments, Journal of Sound and Vibration 153 (3) (1992) 491-508.
7. M. Pärssinen, Hertzian contact vibrations under random external excitation and surface roughness, Journal of Sound and Vibration 214 (4) (1998) 779-783.
8. J. Sabot, P. Krempf, C. Janolin, Non linear vibrations of a sphere-plane contact excited by a normal load, Journal of Sound and Vibration 214 (2) (1998) 359-375.
9. K. Johnson, Contact Mechanics, Cambridge University Press, Cambridge, 1979.
10. R. Bouc, The power spectral density of response for a strongly non-linear random oscillator, Journal of Sound and Vibration 175 (3) (1994) 317-331.
11. T. Caughey, Derivation and application of the Fokker-Planck equation to discrete nonlinear dynamic systems subjected to white random excitation, Journal of Acoustical Society of America 35 (1963) 1683-1692.
12. A. Papoulis, Probability, Random Variables and Stochastic Process, McGraw-Hill, New York, 1965.