Parametrically Excited Nonlinear Two-Degree-of-Freedom Systems with Repeated Natural Frequencies

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