Modal analysis of elastic vibrations of incompressible materials using a pressure-stabilized finite element method

Codina Ramon; Tuerk Onder

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Modal analysis of elastic vibrations of incompressible materials using a pressure-stabilized finite element method

机译：Modal analysis of elastic vibrations of incompressible materials using a pressure-stabilized finite element method

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摘要

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.

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《Finite elements in analysis & design》 |2022年第9期|103760.1-103760.10|共10页
作者
Codina Ramon; Tuerk Onder;
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作者单位

Univ Politecn Cataluna, Barcelona 08034, Spain|Int Ctr Numer Methods Engn CIMNE, Barcelona 08034, Spain;

Middle East Tech Univ, Inst Appl Math, TR-06800 Ankara, Turkey;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
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关键词
Modal analysis; Incompressible elastic waves; Eigenvalue problems; Stabilized finite element methods;

Modal analysis of elastic vibrations of incompressible materials using a pressure-stabilized finite element method

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