Saturation of Almost Periodic and Chaotic Aeroelastic Oscillations of Plates Under a Resonant Multimode Force

A new approach based on the solution of a singular integral equation to analyzing the aeroelastic oscillations of thin plates is proposed. The velocity circulation is expanded into a series in the generalized coordinates of oscillations of the plate. This allows using a system with a finite number o...

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Bibliographic Details
Published in:International applied mechanics 2015-05, Vol.51 (3), p.342-349
Main Authors: Avramov, K. V., Strel’nikova, E. A.
Format: Article
Language:English
Subjects:
Aeroelasticity
Applications of Mathematics
Chaos theory
Classical Mechanics
Degrees of freedom
Mathematical analysis
Oscillations
Physics
Physics and Astronomy
Plates
Singular integral equations
Transforms
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Summary:A new approach based on the solution of a singular integral equation to analyzing the aeroelastic oscillations of thin plates is proposed. The velocity circulation is expanded into a series in the generalized coordinates of oscillations of the plate. This allows using a system with a finite number of degrees of freedom for the generalized coordinates to describe the aeroelastic oscillations. The following scenario is analyzed: the motion of the plate undergoes Neimark bifurcations and transform into quasiperiodic oscillations, which, in turn, transform into chaotic oscillations
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-015-0694-6