Toeplitz jacobian matrix for nonlinear periodic vibration

Journal of Applied Mechanics, Transactions ASME

Volumn 62, Issue 3, 1995, Pages 709-717

  Leung, A Y T ^a   Ge, T ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84988913344     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2897004     Document Type: Article

References (12)

1. Brigham, E. O., 1974, The Fast Fourier Transformation, Prentice-Hall, Englewood Cliffs, NJ.
2. Cameron, T. M., and Griffin, J. H., 1989, “An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 56, pp. 149-154.
3. Ferri, A. A., 1986, “On the Equivalence of the Incremental Harmonic Balance Method and the Harmonic Balance-Newton Raphason Method,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 53, pp. 455-457.
4. Iooss, G., and Joseph, D. D., 1980, Elementary Stability and Bifurcation Theory, Spdng-Verlag, New York.
5. Kim, Y. B., and Noah, S, T., 1991, “Stability and Bifurcation Analysis of Oscillators With Piecewise-Linear Characteristic: A General Approach,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 58, pp. 545-553.
6. Lau, S. L., and Cheung, Y. K., 1981, “Amplitude Incremental Variational Pnnciple for Nonlinear Vibration of Elastic Systems,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 48, pp. 959-964.
7. Lau, S. L., Cheung, Y. K., and Wu, S. Y., 1982, “Variable Parameter Incrementation Method for Dynamics Instability of Linear and Nonlinear System,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 49, pp. 849-853.
8. Leung, A. Y. T., and Fung, T. C., 1989, “Construction of Chaotic Regions,” Journal of Sound and Vibration, Vol. 131, pp. 445-455.
9. Leung, A. Y. T., and Ge, T., 1992, “Multi-Harmonic Branch Switching method for Nonlinear Oscillations,” Microcomputers in Civil Engineering, submitted for publication.
10. Ling, F. H., and Wu, X. X., 1987, “Fast Galerkin Method and Its Application to Determine Periodic Solutions of Non-linear Oscillators,” Int. J. Non-Linear Mechanics, Vol. 22, No. 2, pp. 89-98.
11. Pierre, C., Ferri, A. A., and Dowell, E. H., 1985, Multi-Harmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method, ASME JOURNAL OF APPLIED MECHANICS, Vol. 52, pp. 958-964.
12. Riks, E., 1984, “Bifurcation and Stability: A Numerical Approach,” Innovative Methods for Nonlinear Problems, W. K. Liu et al., eds., Pineddge Press, Swansea, U.K.