SMALL-AMPLITUDE AND LARGE-AMPLITUDE FREE VIBRATIONS OF SQUARE SHALLOW SHELLS

被引：19

作者：

CHAUHAN, AP

ASHWELL, DG

机构：

[1] Department of Civil and Structural Engineering, University College, Cardiff

来源：

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 1969年 / 11卷 / 04期

关键词：

D O I：

10.1016/0020-7403(69)90068-X

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The fundamental natural frequency is calculated of a shallow shell, or dished plate, having a square simply supported boundary. A Rayleigh-Ritz procedure is used for the case of small amplitudes, based on a simplified double sine series for transverse displacement. The dependence of fundamental frequency on initial central rise is given, and it is found that the transition between an extensional and a partly inextensional mode occurs at a central rise of about eight times the shell thickness. The complex relationship between frequency and large amplitudes is determined approximately for amplitudes sufficient to cause snap-through". The amplitude-frequency relationship for an initially flat plate is also determined and found to agree well with that obtained by other authors. © 1969."

引用

页码：337 / &

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