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.

Issue Section:
Technical Papers
Keywords:
nonlinear acoustics, acoustic resonance
Topics:
Eigenvalues, Resonance
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 by ASME
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