On the asymptotic behaviour of shells of revolution in free vibration

被引：14

作者：

Artioli, Edoardo ^{[2
,3
]}

Beirao da Veiga, Lourenco ^{[3
,4
]}

Hakula, Harri ^{[5
]}

Lovadina, Carlo ^{[1
,3
]}

机构：

[1] Univ Pavia, Dip Metemat, I-27100 Pavia, Italy

[2] Univ Roma Tor Vergata, Dip Ingn Civile, I-00133 Rome, Italy

[3] CNR, IMATI, I-27100 Pavia, Italy

[4] Univ Milan, Dip Matemat, I-20133 Milan, Italy

[5] Helsinki Univ Technol, Inst Math, FIN-02150 Espoo, Finland

来源：

COMPUTATIONAL MECHANICS | 2009年 / 44卷 / 01期

关键词：

Shell models; Free vibrations; Finite element method; Collocation method; Interpolation theory; DIFFERENTIAL QUADRATURE;

D O I：

10.1007/s00466-008-0354-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the free vibration problem of thin shells of revolution of constant type of geometry, focusing on the asymptotic behaviour of the lowest eigenfrequency, as the thickness tends to zero. Numerical experiments are computed using two discretization methods, collocation and finite elements, each corresponding to a different shell model. Our results are in agreement with theoretical results obtained using interpolation theory and cited in literature.

引用

页码：45 / 60

页数：16

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