Post-Buckling Analysis of Variable Cross-Section Cantilever Beams under Combined Load via Differential Quadrature Method

Omid Sepahi; Mohammad Reza Forouzan; Parviz Malekzadeh

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Post-Buckling Analysis of Variable Cross-Section Cantilever Beams under Combined Load via Differential Quadrature Method

机译：组合截面荷载作用下可变截面悬臂梁的屈曲后求差分析

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Based on the geometrically nonlinear theory of extensible elastic rods, the governing equations for post-buckling of variable cross-section cantilever beams subjected to a concentrated axial load at its free end and a non-uniformly distributed axial load are formulated. The Differential Quadrature Method (DQM) as a simple and computationally efficient numerical method is used to obtain the critical buckling load. The accuracy of the method is verified by comparing the results with those of the analytical result from the elliptical integral, and other methods such as shooting method or multiple scale method. The post buckling configuration of the beam is obtained for different loading conditions.

机译：基于可伸缩弹性杆的几何非线性理论，建立了可变截面悬臂梁在自由端受到集中轴向载荷和轴向载荷不均匀分布后屈曲的控制方程。微分求积法（DQM）是一种简单且计算效率高的数值方法，用于获取临界屈曲载荷。通过将结果与椭圆积分分析结果以及其他方法（例如射击法或多尺度法）进行比较，可以验证该方法的准确性。对于不同的载荷条件，获得了梁的后屈曲构型。

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来源
《KSCE journal of civil engineering》 |2010年第2期|207-214|共8页
作者
Omid Sepahi; Mohammad Reza Forouzan; Parviz Malekzadeh;
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作者单位

Dept. of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran;

rnDept. of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83 111, Iran;

rnDept. of Mechanical Engineering, Persian Gulf University, Bushehr 75168, Iran;

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正文语种 eng
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关键词
differential quadrature; non-linear geometry; cantilever beam; post-buckling;

机译：差分正交非线性几何;悬臂梁后屈曲;

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1. Post-buckling of cantilever columns having variable cross-section under a combined load [J] . B.P. Madhusudan, V.R. Rajeev, B. Nageswara Rao International journal of non-linear mechanics . 2003,第10期

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2. POST-BUCKLING OF A CANTILEVER ROD WITH VARIABLE CROSS-SECTIONS UNDER COMBINED LOAD [J] . 吴莹, 李世荣, 滕兆春应用数学和力学（英文版） . 2003,第009期

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7. Buckling and post-buckling analysis of extensible beam–columns by using the differential quadrature method [O] . Yuan Zhangxian, Wang Xinwei 2011

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8. Post-Buckling Behavior of Stiffened Plates with Small Initial Curvature under Combined Loads, [R] . mansour, alaa 1971

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Post-Buckling Analysis of Variable Cross-Section Cantilever Beams under Combined Load via Differential Quadrature Method

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