Parametrically Excited Nonlinear Two-Degree-of-Freedom Systems With Repeated Natural Frequencies
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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 are analyzed. The results are applied to the flutter of a simply-supported panel in a supersonic airstream.
1976 ◽
Vol 42
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pp. 1692-1700
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1989 ◽
Vol 55
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pp. 1857-1863
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2020 ◽
Vol 15
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1998 ◽
Vol 212
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pp. 401-407
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