Abstract
This work studies the instability (flutter) and poststability oscillations of an elastic shallow shell in a supersonic gas flow. The only available experimental results for flutter of a shallow shell with clamped edges are provided by Anderson. A comparison between theory and experiment is a novel and important contribution of this work. The nonlinear vibrations of a rectangular isotropic thin curved shell in supersonic airflow are studied to find the flutter speed and the limit cycle oscillations beyond the flutter boundary. Using the Galerkin method and the piston theory aerodynamic model for supersonic flow, the flutter and postflutter characteristics of the panel have been analyzed. Panel vibration frequencies and flutter dynamic pressure have been determined and compared with experimental results.
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