Complex wave-number dispersion analysis of Galerkin and Galerkin least-squares methods for fluid-loaded plates

DOI10.1016/0045-7825(94)90212-7zbMath0848.73065OpenAlexW2038218850MaRDI QIDQ1912122

Karl Grosh, Peter M. Pinsky

Publication date: 31 October 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(94)90212-7

zbMATH Keywords

wave propagationdiscretizationsKirchhoff plate theoryacoustic mediumReissner-Mindlin plate theory

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

Reducing spurious dispersion, anisotropy and reflection in finite element analysis of time-harmonic acoustics, Design of Galerkin generalized least squares methods for Timoshenko beams, Finite element formulation for a baffled, fluid‐loaded, finite cylindrical shell, ANALYTICAL AND NUMERICAL STUDIES OF A FINITE ELEMENT PML FOR THE HELMHOLTZ EQUATION, Galerkin generalized least squares finite element methods for time-harmonic structural acoustics, Dispersion analysis of stabilized finite element methods for acoustic fluid interaction with Reissner-Mindlin plates, Subgrid modeling in a Galerkin method for the Helmholtz equation, Higher-order boundary infinite elements, The influence of the mass matrix on the dispersive nature of the semi-discrete, second-order wave equation, Finite element dispersion of cylindrical and spherical acoustic waves, Residual-based methods for fluid-loaded beams, Optimization of fluid-structure systems by eigenvalues gap separation with sensitivity analysis, A unified variational approach to domain-based computation of exterior problems of time-harmonic acoustics, Improved finite element methods for elastic waves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Fourier analysis of spurious mechanisms and locking in the finite element method
• A symbolic Fourier synthesis of a one-point integrated quadrilateral plate element
• An operational procedure for the symbolic analysis of the finite element method
• Finite element methods for the Helmholtz equation in an exterior domain: Model problems
• Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
• Complex wavenumber Fourier analysis of the \(p\)-version finite element method
• The free and forced waves on a fluid-loaded elastic plate
• The free modes of propagation of an infinite fluid-loaded thin cylindrical shell
• Flexural wave propagation behavior of lumped mass approximations
• Dispersion analysis of finite element semidiscretizations of the two-dimensional wave equation
• Fourier Analysis of Finite Element Preconditioned Collocation Schemes
• Fluid‐structure dynamic interaction and wave forces. An introduction to numerical treatment