An asymptotic theory for circular cylindrical shells

被引：5

作者：

Niordson, FI ^{[1
]}

机构：

[1] Tech Univ Denmark, Dept Solid Mech, DK-2800 Lyngby, Denmark

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2000年 / 37卷 / 13期

关键词：

D O I：

10.1016/S0020-7683(98)00331-X

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We derive the two-dimensional shell equations for a circular cylindrical shell by means of an asymptotic expansion of the three-dimensional elastic state. The assumptions involved are of mathematical character only and concern the continuity, differentiability and convergence of the series used. A numerical comparison between the frequencies obtained by the two-dimensional shell equations and the three-dimensional state in the case of free vibrations is presented in a few examples. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：1817 / 1839

页数：23

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