Parametrically Excited Nonlinear Two-Degree-of-Freedom Systems with Repeated Natural Frequencies
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1995-01-01
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Hindawi
Abstract
The method of normal forms is used to study the nonlinear response of two-degree-of-freedom systems with repeated natural frequencies and cubic nonlinearity to a principal parametric excitation. The linear part of the system has a nonsemisimple one-to-one resonance. The character of the stability and various types of bifurcation including the formation of a homoclinic orbit are analyzed. The results are applied to the flutter of a simply supported panel in a supersonic airstream.
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A. H. Nayfeh, C. Chin, and D. T. Mook, “Parametrically Excited Nonlinear Two-Degree-of-Freedom Systems with Repeated Natural Frequencies,” Shock and Vibration, vol. 2, no. 1, pp. 43-57, 1995. doi:10.3233/SAV-1995-2105