ACCURATE BUCKLING EQUATIONS FOR ARBITRARY AND CYLINDRICAL ELASTIC SHELLS

被引：30
作者：
DANIELSON, DA
SIMMONDS, JG
机构：
[1] Department of Applied Mathematics and Computer Science, University of Virginia, Charlottesville
来源：
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 1969年 / 7卷 / 05期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/0020-7225(69)90033-0
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Accurate equations for the neutral equilibrium of arbitrary elastic shells are derived. These equations involve no displacement components and thus complement alternate sets of neutral equilibrium equations proposed by Koiter and Budiansky. The equations are specialized to a uniformly loaded circular cylindrical shell and reduced to a single partial differential equation. For a simply supported cylindrical shell, expressions for the buckling loads are obtained which are as simple as those predicted by the Donnell equations, yet as accurate as those predicted by the more elaborate Flügge equations. © 1969.
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页码：459 / +
页数：1
相关论文
共 15 条
[1]   NOTES ON NONLINEAR SHELL THEORY [J].
BUDIANSKY, B .
JOURNAL OF APPLIED MECHANICS, 1968, 35 (02) :393-+
[2]  
BUDIANSKY B, 1963, PROGRESS APPL MECHS
[3]  
DONNELL LH, 1934, T ASME, V56, P795
[4]  
DONNELL LH, 1933, NACA479 REP
[5]  
Flugge W., 1973, STRESSES SHELLS
[6]  
HILDEBRAND FB, 1949, NACA1833 TECH NOT
[7]  
KOITER WT, 1961, P K NED AKAD WET B, V69, P1
[8]  
KOITER WT, 1967, GENERAL EQUATIONS EL, P187
[9]  
KOITER WT, 1961, P IUTAM S TH THIN EL, P12
[10]  
LEONARD RW, 1961, THESIS VIRGINIA POLY
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