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IssuesArchive of Issues2020-7pp.1071-1076

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Banichuk N.V., Afanas'ev V.S., and Ivanova S.Yu., "On the Static Bifurcation of a Moving Heated Panel Streamlined by an Ideal Fluid," Mech. Solids. 55 (7), 1071-1076 (2020)
Year 2020 Volume 55 Number 7 Pages 1071-1076
DOI 10.3103/S0025654420070055
Title On the Static Bifurcation of a Moving Heated Panel Streamlined by an Ideal Fluid
Author(s) Banichuk N.V. (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia, banichuk@ipmnet.ru)
Afanas'ev V.S. (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia, ñibår200hlrn05Oõ@yandex.ru)
Ivanova S.Yu. (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia, syuivanova@yandex.ru)
Abstract 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 heat- ing, hydroelastic interaction, and in-plane tension (compression) on the stability of elastic panel performing axial motion and transverse vibrations is investigated.
Keywords perturbation method, static stability, linear stability analysis, nonlinear analysis
Received 07 November 2019Revised 14 February 2020Accepted 18 February 2020
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