Determination of Buckling Loads and Mode Shapes of a Heavy Vertical Column under its Own Weight Using the Variational Iteration Method

被引：0

作者：

Okay, Fuad ^{[1
]}

Atay, Mehmet Tarik ^{[2
]}

Coskun, Safa Bozkurt ^{[1
]}

机构：

[1] Kocaeli Univ, Dept Civil Engn, TR-41380 Kocaeli, Turkey

[2] Nigde Univ, Dept Math, TR-51245 Nigde, Turkey

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2010年 / 11卷 / 10期

关键词：

Variational iteration method; Buckling; Heavy column; Elastic stability; STABILITY ANALYSIS; EULER COLUMNS; FLEXURAL STIFFNESS; ASYMPTOTIC METHODS; BARS; EQUATIONS; BEAM;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper applies the variational iteration method for finding buckling loads and mode shapes of a heavy column. The study shows efficiency of the method and accuracy of the obtained analytic approximate solution.

引用

页码：851 / 857

页数：7

共 6 条

[1] Determination of Buckling Loads of Tilted Buckled Column with Varying Flexural Rigidity Using Variational Iteration Method
Atay, Mehmet Tarik
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2010, 11 (02) : 97 - 103
[2] BESSEL-FUNCTIONS AND BUCKLING OF THE UNIFORM COLUMN UNDER COMBINED ACTION DUE TO ITS OWN WEIGHT AND AN AXIAL LOAD
DANIEL, J
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1984, 317 (03): : 159 - 169
[3] Determination of natural frequencies and mode shapes of structures using subspace iteration method with accelerated starting vectors
Kim, BW
Cho, SW
Kim, CH
Lee, IW
JOURNAL OF STRUCTURAL ENGINEERING-ASCE, 2005, 131 (07): : 1146 - 1149
[4] Determination of critical buckling load for elastic columns of constant and variable cross-sections using variational iteration method
Coskun, Safa Bozkurt
Atay, Mehmet Tarik
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (11-12) : 2260 - 2266
[5] Approximate analytical solution of buckling of multi-damaged column-like structures using a continuous diffused crack model by variational iteration method
Xingzhuang Zhao
SN Applied Sciences, 2021, 3
[6] Approximate analytical solution of buckling of multi-damaged column-like structures using a continuous diffused crack model by variational iteration method
Zhao, Xingzhuang
SN APPLIED SCIENCES, 2021, 3 (01):

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