Elastic Stability Analysis of Euler Columns Using Analytical Approximate Techniques

In most of the real world engineering applications, stability analysis of compressed members is very crucial. There have been many researches dedicated to the buckling behavior of axially compressed members. On the other hand, obtaining analytical solutions for the buckling behavior of columns with variable cross-section subjected to complicated load configurations are almost impossible in most of the cases. Some of the works related to obtaining analytical or analytical approximate solutions for the column buckling problem are provided below.

• Publication year

  2012

• Venue

  Unknown venue

• Publication date

  2012-08-01

• Fields of study

  Mathematics, Engineering

• Identifiers
  DOI 10.5772/45940
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Stability Analysis of Nonuniform Rectangular Beams Using Homotopy Perturbation Method

  2012cited by this paper
• Transverse Vibration Analysis of Euler-Bernoulli Beams Using Analytical Approximate Techniques

  2011cited by this paper
• The Homotopy Perturbation Method for free vibration analysis of beam on elastic foundation

  2011cited by this paper
• Analysis of Tilt‐Buckling of Euler Columns with Varying Flexural Stiffness Using Homotopy Perturbation Method

  2010cited by this paper
• Mathematical engineering

  2009cited by this paper
• Determination of Critical Buckling Loads for Euler Columns of Variable Flexural Stiffness with a Continuous Elastic Restraint Using Homotopy Perturbation Method

  2009cited by this paper
• Determination of critical buckling load for elastic columns of constant and variable cross-sections using variational iteration method

  2009cited by this paper
• Elastic stability of Euler columns with a continuous elastic restraint using variational iteration method

  2009influential reference
• Fundamentals of Structural Stability

  2006cited by this paper
• New interpretation of homotopy perturbation method

  2006cited by this paper
• Exact Solutions for Buckling of Structural Members

  2004cited by this paper
• Exact solutions for buckling of non-uniform columns under axial concentrated and distributed loading

  2001cited by this paper
• A coupling method of a homotopy technique and a perturbation technique for non-linear problems

  2000cited by this paper
• A mathematical model and analytical solution for buckling of inclined beam-columns

  1998cited by this paper
• Static and dynamic analysis of straight bars with variable cross-section

  1996cited by this paper
• Stability analysis of bars with varying cross-section

  1995cited by this paper
• Solving Frontier Problems of Physics: The Decomposition Method

  1993cited by this paper
• Buckling of columns of variable flexural rigidity

  1992cited by this paper
• Buckling of columns under variably distributed axial loads

  1992cited by this paper
• Elastic stability of non-uniform columns

  1991cited by this paper
• Buckling of Variable Cross‐Section Columns: Integral‐Equation Approach

  1991cited by this paper
• A review of the decomposition method and some recent results for nonlinear equations

  1990cited by this paper
• Structural stability of columns and plates

  1988cited by this paper
• BUCKLING OF TAPERED BARS UNDER STEPPED AXIAL LOADS

  1986cited by this paper
• The strongest column - An energy approach.

  1967cited by this paper
• Critical Buckling Loads for Tapered Columns

  1963cited by this paper
• Strongest Columns and Isoperimetric Inequalities for Eigenvalues

  1962cited by this paper
• The shape of the strongest column

  1960cited by this paper
• Elastic stability of the top chord of a three-span continuous pony truss bridge

  1953cited by this paper
• Mathematical Methods in Engineering. (Scientific Books: Mathematical Methods in Engineering. An Introduction to the Mathematical Treatment of Engineering Problems)

  1940cited by this paper
• Design of Columns of Varying Cross-Section

  1932cited by this paper
• On the Theory of Elastic Stability

  1925influential reference

• Investigation of the critical buckling load of a column with linearly varying moment of inertia using analytical, numerical, and hybrid machine learning approaches

  2025cites this paper
• Analysis of the Bearing Capacity of Concrete-Filled Thin-Walled Square Steel Tubes with Helical Stiffening Based on Local Buckling

  2024cites this paper
• Analytical approximations for elastic limit angular velocities of rotating annular disks with hyperbolic thickness

  2023cites this paper
• Non-linear analysis of the flexural-torsional stability of slender tropical glulam beams

  2023cites this paper
• Dynamic Analysis of Non-Uniform Functionally Graded Beams on Inhomogeneous Foundations Subjected to Moving Distributed Loads

  2023cites this paper
• THE EFFECT OF THE AXIAL AND SHEAR STIFFNESSES ON ELASTIC ROD’S STABILITY

  2022cites this paper
• On 3D and 1D mathematical modeling of physically nonlinear beams

  2021cites this paper
• Buckling Analysis of Rectangular Beams Having Ceramic Liners at Its Top and Bottom Surfaces with the help of the Exact Transfer Matrix

  2021cites this paper
• Stability analysis of columns with variable cross-sections

  2020cites this paper
• Joint Effect of the Nonlinearity of Elastic Foundations and the Variation of the Inertia Ratio on Buckling Behavior of Prismatic and Nonprismatic Columns Using a GDQ Method

  2020influential citation
• Numerical Nonlinear Buckling Analysis of Tapered Slender Reinforced Concrete Columns

  2019cites this paper
• Numerical Nonlinear Buckling Analysis of Tapered Slender Reinforced Concrete Columns

  2019cites this paper
• New Results in Dynamics Stability Problems of Elastic Rods

  2014cites this paper