Multiple Harmonic Balance Method for Aperiodic Vibration of a Piecewise-Linear System

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 120, Issue 1, 1998, Pages 181-187

  Kim, Y B ^a  

^a Chonnam National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; NONLINEAR SYSTEMS; PIECEWISE LINEAR TECHNIQUES; STIFFNESS;

ARTICULATED LOADING PLATFORM; FLOQUET THEORY; HARMONIC BALANCE METHOD;

VIBRATIONS (MECHANICAL);

EID: 0031674521     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.2893802     Document Type: Article

References (11)

1. Choi, S. K., and Noah, S. T., 1992, “Response and Stability Analysis of Piecewise-linear Oscillatoes under Multi-forcing Frequencies,” Nonlinear Dynamics, Vol. 3, pp. 105-121.
2. Kaas-Petersen, C., 1985, “Computation of Quasi-periodic Solutions of Forced Dissipative Systems,” Physics, Vol. 58, pp. 395-403.
3. Kaas-Petersen, C., 1987, “Computation, Continuation, and Bifurcation of Torus Solutions for Dissipative Maps and Ordinary Differential Equations,” Physics, Vol. 25D, pp. 286-306.
4. Kim, Y. B., 1990, “Steady-state and Bifurcation Analysis of Strongly Nonlinear Dynamical Systems,” Ph.D. thesis, Texas A&M University, College Station.
5. Kim, Y. B., and Noah, S. T., 1991, “Stability and Bifurcation Analysis of Oscillators with Piecewise-linear Characteristics: a General Approach,” ASME Journal of Applied Mechanics, Vol. 58, pp. 543-553.
6. Kim, Y. B., 1995, “Quasi-periodic Response and Stability Analysis for Nonlinear Systems: a General Approach,” accepted in Journal of Sound and Vibration.
7. Kundert, K. S., Sorkin, G. B., and Vincentelli, A. S., 1988, “Applying Harmonic Balance Method to Almost-periodic Circuits,” IEEE Transactions on Microwave Theory and Techniques, Vol. 36, pp. 366-378.
8. Lau, S. L., Cheung, Y. K. and Wu, S. Y., 1983, “Incremental Harmonic Balance Method with Multiple Time Scales for Aperiodic Vibrations of Nonlinear Systems,” ASME paper 83-WA/APM-7, Boston, MA.
9. Ling, F. H., 1991, “Quasi-periodic Solutions Calculated with Simple Shooting Technique,” Journal of Sound and Vibration, Vol. 144, No. 2, pp. 293-304.
10. Nayafeh, A. H., and Mook, D. T., 1979, Nonlinear Oscillations Wiley-Interscience, New York.
11. Ushida, A., and Chus, L. O., 1984, “Frequency-domain Analysis of Nonlinear Circuits Driven by Multitone Signals,” IEEE Transactions on Circuits and Systems, CAS-31, pp. 766-778.