AN INTERPOLATION THEORY APPROACH TO SHELL EIGENVALUE PROBLEMS

被引：8
作者：
Da Veiga, L. Beirao [3 ]
Lovadina, C. [1 ,2 ]
机构：
[1] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy
[2] IMATI CNR, I-27100 Pavia, Italy
[3] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2008年 / 18卷 / 12期
关键词：
Koiter shell; interpolation theory;
D O I：
10.1142/S0218202508003273
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The asymptotic behavior of the smallest eigenvalue in linear shell problems is studied, as the thickness parameter tends to zero. In order to cover the widest range of mid-surface geometry and boundary conditions, an abstract approach has been followed, and the Real Interpolation Theory has been used as main tool. A result concerning the ratio between the bending and the total elastic energy is proved. Furthermore, an example of application to cylindrical shells is detailed.
引用
收藏
页码：2003 / 2018
页数：16
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