Nonlinear stability of sensor elastic element-corrugated shallow spherical shell in coupled multi-field

被引：0
|
作者：
Zhu, Yongan [1 ]
Wang, Fan [1 ]
Liu, Renhuai [1 ,2 ]
机构：
[1] Jinan Univ, Inst Appl Mech, Guangzhou 510632, Guangdong, Peoples R China
[2] Jinan Univ, Minist Educat, Key Lab Disaster Forecast & Control Engn, Guangzhou 510632, Guangdong, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2017年 / 38卷 / 06期
基金：
美国国家科学基金会; 中国国家自然科学基金;
关键词：
modified iteration method; corrugated shallow spherical shell; multi-field stability; critical load; temperature variation; VIBRATION; REGION; PLATE; LOAD;
D O I：
10.1007/s10483-017-2201-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Nonlinear stability of sensor elastic element-corrugated shallow spherical shell in coupled multi-field is studied. With the equivalent orthotropic parameter obtained by the author, the corrugated shallow spherical shell is considered as an orthotropic shallow spherical shell, and geometrical nonlinearity and transverse shear deformation are taken into account. Nonlinear governing equations are obtained. The critical load is obtained using a modified iteration method. The effect of temperature variation and shear rigidity variation on stability is analyzed.
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页码：877 / 888
页数：12
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