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.
Behavior of Nonlinear Flutter-Type Oscillations of Flexible Plates in Supersonic Gas Flow
Journal of Aerospace Engineering ; 30 , 5
2017-05-12
Article (Journal)
Electronic Resource
Unknown
Behavior of Nonlinear Flutter-Type Oscillations of Flexible Plates in Supersonic Gas Flow
Online Contents | 2017
|Reliability and Nonlinear Supersonic Flutter of Uncertain Laminated Plates
Online Contents | 1993
|