Abstract
The main goal of this research is to investigate the presence of internal resonance in aeroelastic structures, and to illustrate the effects internal resonance may have on the system. In order to achieve this goal, internal resonance must be clearly understood and the characteristics of a system in which internal resonance exists must be determined. A thorough review of a dynamical system which exhibits classical internal resonance is used as a model for this research. Then, a typical aeroelastic system is analyzed in a similar manner. Other nonlinear response regimes are examined to grasp some of the many intricacies associated with the nonlinear equations of motion developed for this aeroelastic model. Investigations of various forms of the aeroelastic model are presented including a quasi-steady aerodynamic stall model with and without parametric excitation and a modal form of the equations. The system parameters are modified to achieve different responses. With the conclusion of this research, a better understanding is gained of the intricate nature of this nonlinear system, and of the circumstances under which internal resonance will occur.
Gilliatt, Heather Colleen (1997). Investigations of internal resonance phenomena and related nonlinear pathologies in aeroelastic systems. Master's thesis, Texas A&M University. Available electronically from
https : / /hdl .handle .net /1969 .1 /ETD -TAMU -1997 -THESIS -G534.