Post-buckling of a cantilever rod with variable cross-sections under combined load

被引：0

作者：

Ying, W ^{[1
]}

Li, SR ^{[1
]}

Teng, ZC ^{[1
]}

机构：

[1] Lanzhou Unvi Technol, Sch Sci, Lanzhou 730050, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2003年 / 24卷 / 09期

关键词：

rod with variable cross-section; axial extensibility; post-buckling; shooting method; numerical solution;

D O I：

10.1007/BF02437643

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the geometrically nonlinear theory of axially extensible elastic rods, the governing equations of post-buckling of a clamped-free rod with variable cross-sections, subjected to a combined load, a concentrated axial load P at the free end and a non-uniformly distributed axial load q, are established. By using shooting method, the strong nonlinear boundary value problems are numerically solved. The secondary equilibrium paths and the post-buckling configurations of the rod with linearly varied cross-sections are presented.

引用

页码：1111 / 1118

页数：8

共 50 条

[31] An experimental investigation into the buckling and post-buckling of CFRP shells under combined axial and torsion loading
Bisagni, C
Cordisco, P
[J]. COMPOSITE STRUCTURES, 2003, 60 (04) : 391 - 402
[32] Critical buckling load and nonlinear post-buckling response of guyed towers
[J]. 1600, Int. Association for Shell and Spatial Structures (55):
[33] Experimental investigation on the buckling and post-buckling behavior of variable stiffness laminates
Zhang, Yahui
Kong, Bin
Gu, Jiefei
Chen, Puhui
Wang, Binwen
[J]. THIN-WALLED STRUCTURES, 2023, 184
[34] The Study of Buckling and Post-Buckling of a Step-Variable FGM Box
Czechowski, Leszek
Kolakowski, Zbigniew
[J]. MATERIALS, 2019, 12 (06)
[35] BUCKLING LOADS OF COLUMNS WITH VARYING CROSS-SECTIONS
CHEN, YZ
CHEUNG, YK
XIE, JR
[J]. JOURNAL OF ENGINEERING MECHANICS-ASCE, 1989, 115 (03): : 662 - 667
[36] Buckling and post-buckling of an elastica under a lateral restraining force
Chen, Kelin
Korkolis, Yannis P.
[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2021, 233 (233)
[37] Carbon nanocones under compression: Buckling and post-buckling behaviors
Liew, K. M.
Wei, J. X.
He, X. Q.
[J]. PHYSICAL REVIEW B, 2007, 75 (19)
[38] LARGE DEFORMATION, POST-BUCKLING AND CATASTROPHIC STABILITY OF SLENDER CANTILEVER COLUMNS
PRATHAP, G
VARADAN, TK
[J]. COMPUTERS & STRUCTURES, 1978, 8 (02) : 275 - 279
[39] Design Solutions for Slender Bars with Variable Cross-Sections to Increase the Critical Buckling Force
Botis, Marius Florin
Cerbu, Camelia
[J]. MATERIALS, 2022, 15 (17)
[40] POST-BUCKLING BEHAVIOR UNDER MODE INTERACTION
Reis, Antonio J.
Roorda, John
[J]. 1979, 105 (04): : 609 - 621

← 1 2 3 4 5 →