On the Static Bifurcation of a Moving Heated Panel Streamlined by an Ideal Fluid

The axial motion of a heated elastic panel streamlined by an ideal fluid is considered. It is supposed that the panel moving with a constant axial velocity and performing transverse elastic vibrations is simply supported at the span ends. The problem of static buckling (bifurcation) is formulated ba...

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Bibliographic Details
Published in:Mechanics of solids 2020-09, Vol.55 (7), p.1071-1076
Main Authors: Banichuk, N. V., Afanas’ev, V. S., Ivanova, S. Yu
Format: Article
Language:English
Subjects:
Axial stress
Bifurcations
Boundary value problems
Classical Mechanics
Curved panels
Ideal fluids
Motion stability
Perturbation methods
Physics
Physics and Astronomy
Transverse oscillation
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Summary:The axial motion of a heated elastic panel streamlined by an ideal fluid is considered. It is supposed that the panel moving with a constant axial velocity and performing transverse elastic vibrations is simply supported at the span ends. The problem of static buckling (bifurcation) is formulated based on the concept of elastic equilibrium of a curved panel under the action of inertial forces, hydrodynamic reaction, heat, and in-plane tensions (compressions) applied to the panel. The derived nonlinear boundary value problem is solved by the perturbation method. As a result, the influence of heating, hydroelastic interaction, and in-plane tension (compression) on the stability of elastic panel performing axial motion and transverse vibrations is investigated.
ISSN:0025-6544
1934-7936
DOI:10.3103/S0025654420070055