POST-BUCKLING OF A CANTILEVER ROD WITH VARIABLE CROSS-SECTIONS UNDER COMBINED LOAD

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 estab...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2003-09, Vol.24 (9), p.1111-1118
Main Author: 吴莹 李世荣 滕兆春
Format: Article
Language:English
Subjects:
几何非线性
可变横截面
弹性力学
悬臂杆
数值解
轴向延展性
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Summary: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.
ISSN:0253-4827
1573-2754
DOI:10.1007/BF02437643