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Article type: Research Article
Authors: Nayfeh, A. H. | Chin, C. | Mook, D. T.
Affiliations: Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0219
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.
DOI: 10.3233/SAV-1995-2105
Journal: Shock and Vibration, vol. 2, no. 1, pp. 43-57, 1995
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