Spectral analyses of non-linear interactions

Mechanical Systems and Signal Processing

Volumn 10, Issue 6, 1996, Pages 711-727

  Balachandran, B ^a   Khan, K A ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONTROL NONLINEARITIES; NUMERICAL ANALYSIS; SIGNAL PROCESSING; SPECTRUM ANALYSIS;

NON-LINEAR OSCILLATOR; SIGNALS PERTAINING; SPECTRAL ANALYSIS;

OSCILLATORS (MECHANICAL);

EID: 0030290730     PISSN: 08883270     EISSN: None     Source Type: Journal    
DOI: 10.1006/mssp.1996.0048     Document Type: Article

References (22)

1. A. H. NAYFEH and B. BALACHANDRAN 1995 Applied Nonlinear Dynamics, New York: John Wiley.
2. D. R. BRILLINGER and M. ROSENBLATT 1967 Asymptotic theory of estimates of the kth order spectra. In: Spectral Analysis of Time Series (B. Harris, ed.) New York: John Wiley.
3. C. L. NIKIAS and A. P. PETROPULU 1993 Higher-Order Spectra Analysis. Englewood Cliffs, NJ: Prentice-Hall.
4. T. SATO, K. SASAKI and Y. NAKAMURA 1977 Journal of the Acoustical Society of America 62, 382-387. Real-time bispectral analysis of gear noise and its application to contactless diagnosis.
5. T. SATO, K. SASAKI and M. NONAKA 1978 Journal of the Acoustical Society of America 63, 1611-1616. Prototype of bispectral passive imaging systems aiming machine-system diagnosis.
6. Y. C. KIM and E. J. POWERS 1979 IEEE Transactions on Plasma Science PS-1, 120-131. Digital bispectral analysis and its applications to non-linear wave interactions.
7. D. W. CHOI, J. H. CHANG, R. O. STEARMAN and E. J. POWERS 1984 Proceedings of the 2nd International Modal Analysis Conference, Orlando, Florida, 3-12. Bispectral identification of nonlinear mode interactions.
8. A. H. NAYFEH and D. T. MOOK 1979 Nonlinear Oscillations. New York: John Wiley.
9. A. H. NAYFEH and B. BALACHANDRAN 1989 Applied Mechanics Reviews 42, S175-S201. Modal interactions in dynamical and structural systems.
10. B. BALACHANDRAN and A. H. NAYFEH 1991 Nonlinear Dynamics 2, 77-117. Observations of modal interactions in resonantly forced beam-mass structures.
11. A. K. BAJAJ, P. DAVIES and S. I. CHANG 1994 On internal resonances in mechanical systems. In: Stochastic Modeling and Nonlinear Dynamics (W. Kliemann and N. Sri Namachchivaya, eds). CRC Press.
12. D. W. CHOI, R. W. MIKSAD and E. J. POWERS 1985 Journal of Sound and Vibration 99, 309-326. Application of digital cross-bispectral analysis techniques to model the nonlinear response of a moored vessel system in random seas.
13. S. ELGAR and R. T. GUZA 1985 Journal of Fluid Mechanics 161, 425-448. Observations of bispectra of shoaling surface gravity waves.
14. Ch. P. RITZ, E. J. POWERS, R. W. MIKSAD and R. S. SOLIS 1988 Physics of Fluids 31, 3577-3588. Nonlinear spectral dynamics of a transitioning flow.
15. C. PEZESHI, S. ELGAR and R. C. KRISHNA 1990 Journal of Sound and Vibration 137, 357-368. Bispectral analysis of possessing chaotic motion.
16. C. PEZESHKI, S. ELGAR, R. KRISHNA and T. D. BURTON 1992 Journal of Applied Mechanics 59, 657-663. Auto and cross-bispectral analysis of a system of two coupled oscillators with quadratic nonlinearities possessing chaotic motion.
17. A. H. NAYFEH 1973 Perturbation Methods. New York: John Wiley.
18. IMSL Math/Library 1989 IMSL Problem-Solving Software Systems. Huston, Texas: IMSL.
19. MATLAB 1989 User's Guide. South Natick, Massachusetts: Math Works Inc.
20. F. J. HARRIS 1978 Proceedings of the IEEE 66, 51-83. On the use of windows for harmonic analysis with the discrete Fourier transform.
21. L. D. ZAVODNEY, A. H. NAYFEH and N. E. SANCHEZ 1989 Journal of Sound and Vibration 129, 417-442. The response of a single-degree-of-freedom system with quadratic and cubic nonlinearities to a principal parametric resonance.
22. B. BALACHANDRAN and K. A. KHAN 1995 Proceedings of the ASME Design Engineering Technical Conferences 3, 633-640. Spectral analyses of nonlinear interactions.