7) The Stability of Columns with Elastic Joints

Elastic stability of columns with variable flexural rigidity under arbitrary axial load using the finite difference method

Abstract:   In this paper, the finite difference method (FDM) is applied to investigate the stability analysis and buckling load of columns with variable flexural rigidity, different boundary conditions and subjected to variable axial loads. Between various mathematical techniques adopted to solve the equilibrium equation, the finite difference method, especially in its explicit formulat...

Elastic Stability Analysis of Euler Columns Using Analytical Approximate Techniques

Stability and vibration analyses of tapered columns resting on one or two-parameter elastic foundations

This paper presents a generalized numerical method to evaluate element stiffness matrices needed for the free vibration and stability analyses of non-prismatic columns resting on one- or two-parameter elastic foundations and subjected to variable axial load. For this purpose, power series approximation is used to solve the fourth–order differential equation of non-prismatic columns with v...

on the Elastic Stability of Sleeve Stiffened Hollow Columns; Focusing on Determination of Optimal Design Curves (TECHNICAL NOTE)

The stability analysis of sleeve stiffened pin-ended slender hollow columns of pipe or box section is performed in the present study. This is accomplished by using energy method, employing three terms in the assumed approximate deflection function. The lengthy and tedious algebraic manipulations involved in solving the relevant eigenvalue problem, necessitates employing the "MATHEMATICA" softwa...

Torsional Stability of Cylindrical Shells with Functionally Graded Middle Layer on the Winkler Elastic Foundation

In this study, the torsional stability analysis is presented for thin cylindrical with the functionally graded (FG) middle layer resting on the Winker elastic foundation. The mechanical properties of functionally graded material (FGM) are assumed to be graded in the thickness direction according to a simple power law and exponential distributions in terms of volume fractions of the constituents...