Journal ArticleDOI
Stability analysis of bars with varying cross-section
Li Qiusheng,Cao Hong,Li Guiqing +2 more
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In this paper, the exact solutions for stability analysis of bars with varying cross sections subjected to simple or complicated loads, including concentrated and variably distributed axial loads, are presented in terms of Bessel functions and super geometric series.About:
This article is published in International Journal of Solids and Structures.The article was published on 1995-11-01. It has received 56 citations till now. The article focuses on the topics: Cross section (physics) & Bar (music).read more
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Buckling Analysis of Nonuniform and Axially Graded Columns with Varying Flexural Rigidity
Y. Huang,Xian-Fang Li +1 more
TL;DR: In this paper, the buckling instability of Euler-Bernoulli columns with arbitrarily axial nonhomogeneity and/or varying cross-section has been solved using a Fredholm integral equation.
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Determination of critical buckling load for elastic columns of constant and variable cross-sections using variational iteration method
TL;DR: This study presents the application of VIM to various buckling cases and results are produced for columns with different support conditions and with different variation of cross-sections which show that variational iteration method is a very efficient technique in the analysis of elastic stability problems.
Journal ArticleDOI
Elastic stability of Euler columns with a continuous elastic restraint using variational iteration method
TL;DR: The study proves that VIM is a very efficient and promising approach in the elastic stability analysis of specified problems and achieves exact solutions for continuously restrained Euler columns.
Journal ArticleDOI
Exact solutions for buckling of non-uniform columns under axial concentrated and distributed loading
TL;DR: In this article, the buckling problem of non-uniform columns subjected to axial concentrated and distributed loading is studied, and the exact solutions that represent a class of exact functional solutions for buckling problems are obtained.
Journal ArticleDOI
Buckling of multi-step non-uniform beams with elastically restrained boundary conditions
TL;DR: In this article, the governing differential equation for buckling of a multi-step non-uniform beam under several concentrated axial forces is established, and the two fundamental solutions of bending moment and the recurrence formulas developed in this paper are used to determine the critical buckling forces for a multiscale NN beam without spring supports.
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Buckling of Variable Cross‐Section Columns: Integral‐Equation Approach
F. Arbabi,F. Li +1 more
TL;DR: In this paper, a semianalytical procedure for axial buckling of elastic columns with step-varying profiles is presented, which can be applied to any continuous or discontinuous profile regardless of the number of steps.
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Buckling of columns under variably distributed axial loads
H.H. Vaziri,J. Xie +1 more
TL;DR: In this article, a new numerical model for analyzing the buckling of columns with variably distributed axial loads is proposed, which transforms the traditional eigenvalue problem into an initial boundary value problem which can be solved by numerical integrations.