Parametrically Excited Nonlinear Two-Degree-of-Freedom Systems with Repeated Natural Frequencies
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 01, 1995
- Source ID
- 10.1155/1995/421274
Entities
People
- A. H. Nayfeh
- C. Chin
- D. T. Mook
Organizations
- Air Force Office of Scientific Research
- Virginia Tech