On the application of the asymptotic method of global instability in aeroelasticity problems

DOI10.1134/S0081543816080174zbMath1369.35092OpenAlexW2582267955MaRDI QIDQ521558

Vasily V. Vedeneev

Publication date: 11 April 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543816080174

zbMATH Keywords

asymptotic methodaeroelasticityfluttergas flownumerical analysiselastic plateglobal instabilityKirchhoff-Love model

Mathematics Subject Classification ID

Plates (74K20) Gas dynamics (general theory) (76N15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (5)

Axisymmetric instability of elastic tubes conveying power-law fluids ⋮ Influence of the viscous boundary layer perturbations on single-mode panel flutter at finite Reynolds numbers ⋮ Membrane flutter induced by radiation of surface gravity waves on a uniform flow ⋮ Flutter of infinite elastic plates in the boundary-layer flow at finite Reynolds numbers ⋮ Asymptotics of the spectrum of an integro-differential equation arising in the study of the flutter of a viscoelastic plate

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical investigation of supersonic plate flutter using the exact aerodynamic theory
• Study of the single-mode flutter of a rectangular plate in the case of variable amplification of the eigenmode along the plate
• Flutter of a wide strip plate in a supersonic gas flow
• High-frequency plate flutter
• High-frequency flutter of a rectangular plate
• Nonlinear high-frequency flutter of a plate
• The role of boundary conditions in the instability of one-dimensional systems
• On the stability of flow of weakly compressible gas in a pipe of model roughness
• On some properties of equations of a model of coupled thermoplasticity
• Limit oscillatory cycles in the single mode flutter of a plate
• Global capillary instability of an inclined jet
• On the unsteady motion of a long fluid-loaded elastic plate with mean flow
• Twisted absolute instability in lifted flames
• On the stability of homogeneous states
• Convective and absolute instability of a liquid jet in a longitudinal magnetic field

This page was built for publication: On the application of the asymptotic method of global instability in aeroelasticity problems