Journal ArticleDOI
Stability analysis of a bar with multi-segments of varying cross-section
Qiusheng Li,Hong Cao,G.Q. Li +2 more
TLDR
In this paper, the exact solutions for the stability analysis of a one-step bar of varying cross-section subjected to concentrated and distributed axial loads are found first, and then the exact solution of that bar is used to derive the eigenvalue equation of a multi-stage bar of different cross-sections subjected to more complicated loads by using transition matrices.About:
This article is published in Computers & Structures.The article was published on 1994-12-03. It has received 48 citations till now. The article focuses on the topics: Bar (music) & Bessel function.read more
Citations
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Journal ArticleDOI
Static and dynamic analysis of straight bars with variable cross-section
Qiusheng Li,Hong Cao,G.Q. Li +2 more
TL;DR: In this article, the equations of static equilibrium, the governing differential equation of shear and flexural vibrations of straight bars with variable cross-section are written in the form of unified self-conjugate differential equations of the second-order.
Journal ArticleDOI
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.
References
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Book
The finite element method displayed
TL;DR: In this article, the authors simplify the teaching of the finite element method and discuss the approximation of continuous functions over subdomains in terms of nodal values, interpolation functions for classical elements in one, two, and three dimensions, fundamental element vectors and matrices and assembly techniques; numerical methods of integration; matrix Eigenvalue and Eigenvector problems; and Fortran programming techniques.
Journal ArticleDOI
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.
Journal ArticleDOI
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.