In this paper, a modified normal form approach is proposed for the analysis of high dimensional nonlinear systems. Using the modified approach, calculations of normal forms and, in particular, the related coefficients are carried out much more conveniently. Certain high dimensional systems, including systems with inner resonances, are investigated. These systems exist widely in engineering applications. To illustrate the approach, five examples are presented.
On the Normal Forms Associated with High Dimensional Systems
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 1999; revised September 2000. Associated Editor: R. P. S. Han.
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Huseyin , K., and Zhang, W. (September 1, 2000). "On the Normal Forms Associated with High Dimensional Systems ." ASME. J. Vib. Acoust. April 2001; 123(2): 157–169. https://doi.org/10.1115/1.1349886
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