In this paper, we present a novel analytic approach to solve the buckling instability of Euler-
Bernoulli columns with arbitrarily axial nonhomogeneity and/or varying cross section. For …

The column buckling problem was first investigated by Leonhard Euler in 1757. Since then,
numerous efforts have been made to enhance the buckling capacity of slender columns …

In this paper, variational iteration method (VIM) is applied to the problem of determination of
critical buckling loads for Euler columns with constant and variable cross-sections. VIM is a …

In this paper, analysis of elastic stability for continuously restrained Euler columns is
conducted by means of variational iteration method (VIM). A uniform homogeneous column …

In this paper, the buckling problem of non-uniform columns subjected to axial concentrated
and distributed loading is studied. The expression for describing the distribution of flexural …

Abstract Mechanically-guided three-dimensional (3D) assembly of mesostructures through
controlled compressive buckling represents a promising approach, because of the versatile …

In this paper, the governing differential equation for buckling of a multi-step non-uniform
beam under several concentrated axial forces is established. The special solutions of …

A new approach to the buckling analysis of non-prismatic columns is proposed. The method
of rigid elements is used for this purpose. The general form of the characteristic equation is …

The stability analysis of a vertically standing or hanging composite column under end force
and distributed axial load is made. The composite column has varying cross-section and …

The post-buckling solutions of non-uniform linearly and non-linearly elastic rods are
constructed via a higher-order perturbation approach. For rods with continuously varying …