Abstract
The behavior of nonlinear oscillations of isotropic rectangular plate fluttering in a supersonic gas flow is examined. The study was conducted taking into account both types of nonlinearity: wind (quadratic and cubic) and geometric (cubic). It is established that because of aerodynamic nonlinearity (especially its nonsymmetric quadratic part), the relationship (where is the amplitude of nonlinear oscillations and is the parameter characterizing the value of the flowing stream) is a two-value function at certain intervals of the speed . This fact is illustrated in the figures, which are plotted in the text, in the form of two branches. The lower branches of these figures, in all probability, are unstable. The unstable branches are separated via the gravitational field of two adjacent sustainable solutions. Thus, the perturbation magnitude, which is required in order to transfer the system from one stable branch to another, can easily be found. The existence of certain intervals of is shown, where limit cycle oscillations (LCOs) cannot be excited in both precritical speeds and in the postcritical stage.
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Acknowledgments
This work was supported by the RA MES State Committee of Science, in the frames of the research project No. SCS 15T-2C134 and done in the framework of a research project of RAU.
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Published In
Journal of Aerospace Engineering
Volume 30 • Issue 5 • September 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Sep 7, 2016
Accepted: Jan 19, 2017
Published online: May 12, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 12, 2017
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