Stochastic averaging of strongly non-linear oscillators under bounded noise excitation

Journal of Sound and Vibration

Volumn 254, Issue 2, 2003, Pages 245-267

  Huang, Z L ^a   Zhu, W Q ^a   Ni, Y Q ^b   Ko, J M ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); GAUSSIAN NOISE (ELECTRONIC); HARMONIC ANALYSIS; LYAPUNOV METHODS; PARAMETRIC OSCILLATORS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES;

DUFFING OSCILLATOR; NONLINEAR OSCILLATORS;

WHITE ACOUSTIC NOISE;

EID: 0037419470     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.4093     Document Type: Article

References (16)

1. G. Q. Cai and Y. K. Lin 2001 Nonlinear Dynamics 24, 3-15. Random vibration of strongly nonlinear systems.
2. W. Q. Zhu, Z. L. Huang and Y. Suzuk 2001 International Journal of Non-linear Mechanics 36, 1235-1250. Response and stability of strongly non-linear oscillators under wide-band random excitation.
3. C. Sobiechowski and L. Socha 2000 Journal of Sound and Vibration 231, 19-35. Statistical linearization of the Duffing oscillator under non-Gaussian external excitation.
4. R. H. Lyon, M. Heckl and C. B. Hazelgrove 1961 Journal of the Acoustical Society of America 33, 1404-1411. Response of hard-spring oscillator to narrow-band excitation.
5. W. Q. Zhu, M. Q. Lu and Q. T. Wu 1993 Journal of Sound and Vibration 165, 285-304. Stochastic jump and bifurcation of a Duffing oscillator under narrow-band excitation.
6. R. L. Stratonovich 1967 Topics in the Theory of Random Noise, Vol. 1. New York: Gordon and Breach.
7. M. F. Dimentberg 1988 Statistical Dynamics of Nonlinear and Time-Varying Systems. Taunton: Research Studies Press.
8. Y. K. Lin, Q. C. Li and T. C. Su 1993 Journal of Wind Engineering and Industry Aerodynamics 49, 507-516. Application of a new wind turbulence model in predicting motion stability of wind-excited long-span bridges.
9. S. T. Ariaratnam 1996 in Advances in Nonlinear Stochastic Methods, Proceedings of IUTAM Symposium (A. Naess and S. Krenk, editors) 11-18. Dordrecht: Kluwer Academic Publishers. Stochastic stability of viscoelastic systems under bounded noise excitation.
10. W. Y. Liu, W. Q. Zhu and Z. L. Huang 2001 Chaos, Solitons and Fractals 12, 527-537. Effect of bounded noise on chaotic motion of Duffing oscillators under parametric excitations.
11. Z. L. Huang, Q. Q. Zhu and Y. Suzuki 2000 Journal of Sound and Vibration 238. 233-256. Stochastic averaging of strongly non-linear oscillators under combined harmonic and white noise excitations.
12. Z. Xu and Y. K. Cheung 1994 Journal of Sound and Vibration 174, 563-576. Averaging method using generalized harmonic functions for strongly non-linear oscillators.
13. P. E. Kloeden and E. Platen 1992 Numerical Solution of Stochastic Differential Equations. Berlin: Springer-Verlag.
14. A. Naess and V. Moe 1998 in Structural Safety and Reliability (M. Shinozuka and Y. K. Wen, editors), 795-801. Rotterdam: Balkema. New techniques for path integral solution of random vibration of nonlinear oscillators.
15. B.N. Sun, Z. G. Wang, J. M. Ko and Y. Q. Ni 2000 in Advances in Structural Dynamics (J. M. Ko and Y. L. Xu, editors), Vol. 1, 553-560. Amsterdam: Elsevier. Cable oscillation induced by parametric excitation in cable-stayed bridges.
16. N. N. Bogoliubov and Y. A. Mitropolsky 1961 Asymptotic Methods in the Theory of Nonlinear Oscillators. New York: Gordon and Breach.