Numerical study of the vibrations of an elastic container filled with an inviscid fluid

被引：0

作者：

Hermant, Nicolas ^{[1
,4
]}

Chouly, Franz ^{[2
]}

Silva, Fabrice ^{[1
,3
]}

Luizard, Paul ^{[1
,5
]}

机构：

[1] Univ Grenoble Alpes, CNRS, Grenoble INP, GIPSA Lab, F-38000 Grenoble, France

[2] CNRS, UMR 6623, Lab Math Besancon, 16 Route Gray, F-25030 Besancon, France

[3] Aix Marseille Univ, Cent Marseille, LMA, CNRS, Marseille, France

[4] Univ Valle, Fac Ingn, Cali, Colombia

[5] TU Berlin, Audio Commun Grp, Berlin, Germany

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2018年 / 98卷 / 04期

关键词：

Vibrations; fluid-structure interaction; finite element method; added-mass formulation; vocal folds replica; FINITE-ELEMENT FORMULATIONS; LINEAR-STABILITY ANALYSIS; BRASS INSTRUMENTS; SPECTRAL PROBLEM; COMPUTATION; MODES; APPROXIMATION;

D O I：

10.1002/zamm.201600208

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate numerically the vibrational behavior of an elastic structure containing an inviscid fluid with a filling hole where the pressure is prescribed. The underlying mathematical model is detailed and its spectra is characterized. The finite element method relies upon the added-mass formulation of Morand and Ohayon but avoids the explicit assembly of the dense added-mass matrix. A parametric study allows to characterize the system's response to dimensionless parameters in terms of eigenfrequencies. The resulting mode shapes are then physically discussed, with emphasis on the presence and the behavior of singular modes caused by specific boundary conditions in the fluid.

引用

页码：602 / 621

页数：20

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