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Codina R., TÜRK Ö.
FINITE ELEMENTS IN ANALYSIS AND DESIGN, vol.206, 2022 (SCI-Expanded)
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FINITE ELEMENTS IN ANALYSIS AND DESIGN
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
Modal analysis, Incompressible elastic waves, Eigenvalue problems, Stabilized finite element methods, LINEAR ELASTICITY, RECTANGULAR PLATE, LOCKING, APPROXIMATION, FORMULATION, DYNAMICS
Middle East Technical University Affiliated:
This paper describes a modal analysis technique to approximate the vibrations of incompressible elastic solids using a stabilized finite element method to approximate the associated eigenvalue problem. It is explained why residual based formulations are not appropriate in this case, and a formulation involving only the pressure gradient is employed. The effect of the stabilization term compared to a Galerkin approach is detailed, both in the derivation of the approximate formulation and in the error estimate provided.