A Sufficient Condition for the Absence of Two-Dimensional Instabilities of an Elastic Plate in a Duct with Compressible Flow
DOI10.1137/18M1165761zbMath1419.35142OpenAlexW2901664526MaRDI QIDQ4555744
Publication date: 21 November 2018
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m1165761
instabilitynonlinear eigenvalue problemfluid-structure couplingtrapped modeaeroacousticstime-harmonic radiation
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Estimates of eigenvalues in context of PDEs (35P15) General aerodynamics and subsonic flows (76G25)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Embedded Rayleigh-Bloch surface waves along periodic rectangular arrays
- Non-homogeneous media and vibration theory
- Existence and uniqueness of a solution to an aeroacoustic model
- Modelling and control of noise in a flexible flow duct
- Resonances of an elastic plate coupled with a compressible confined flow
- Complex resonances and trapped modes in ducted domains
- Stability of Rectangular Plates With Free Side-Edges in Two-Dimensional Inviscid Channel Flow
- Stability and acoustic scattering in a cylindrical thin shell containing compressible mean flow
- Exact Controllability of an Aeroacoustic Model with a Neumann and a Dirichlet Boundary Control
- On the vibration problem for an elastic body surrounded by a slightly compressible fluid
- Asymptotic study of the vibration problem for an elastic body deeply immersed in an incompressible fluid
- Variational Formulations for the Determination of Resonant States in Scattering Problems
- Trapped modes in acoustic waveguides
- Examples of embedded eigenvalues for problems in acoustic waveguides
- TRAPPED MODE FREQUENCIES EMBEDDED IN THE CONTINUOUS SPECTRUM
- Determination of Scattering Frequencies for an Elastic Floating Body
- Existence theorems for trapped modes
- Asymptotic Analysis Relating Spectral Models in Fluid--Solid Vibrations
- Trapped modes in a waveguide with a long obstacle
- Complex resonances in acoustic waveguides
- A Noise Control Problem Arising in a Flow Duct
- Aeroelastic instability of cantilevered flexible plates in uniform flow
- Resonances of an elastic plate in a compressible confined fluid
This page was built for publication: A Sufficient Condition for the Absence of Two-Dimensional Instabilities of an Elastic Plate in a Duct with Compressible Flow