AbstractA mathematical formulation of column optimization problems allowing for bimodal optimum buckling loads is developed in this paper. The columns are continuous and linearly elastic, and assumed to have no geometrical imperfections. It is first shown that bimodal solutions exist for columns that rest on a linearly elastic (Winkler) foundation and have clamped-clamped and clamped-simply supported ends. The equilibrium equation for a non-extensible, geometrically nonlinear elastic column is then derived, and the initial post-buckling behaviour of a bimodal optimum column near the bifurcation point is studied using a perturbation method. It is shown that in the general case the post-buckling behaviour is governed by a fourth order polynom...
Investigated herein is the postbuckling behavior of an initially imperfect nonlocal elastic column, ...
The report derives the differential equations for the overall bifurcation of locally buckled point-s...
This study presents critical buckling load optimization of the axially graded layered uniform column...
AbstractA mathematical formulation of column optimization problems allowing for bimodal optimum buck...
formula, bifurcation, limit load, finite disturbance buckling The classical problem of buckling of a...
We establish existence, derive necessary conditions, and construct and test an algorithm for the max...
A novel approach to the optimization of flexible columns against buckling is presented. The problem ...
This paper presents a comprehensive set of exact stability criteria for Euler columns with an interm...
Approximative formula for post-buckling analysis of non-linearly elastic columns with superellipsoid...
The minimization of structural weight and the maximization of critical buckling load are problems th...
The minimization of structural weight and the maximization of critical buckling load are problems th...
An optimality criterion and resizing formula for design variables are developed for obtaining minimu...
[[abstract]]This paper intends to offer an alternative approach for deriving the buckling differenti...
International audienceProposed herein is a simple but powerful method for optimization of inhomogene...
Abstract – Stability of an elastic column with a changeable cross section loaded by a concentrated f...
Investigated herein is the postbuckling behavior of an initially imperfect nonlocal elastic column, ...
The report derives the differential equations for the overall bifurcation of locally buckled point-s...
This study presents critical buckling load optimization of the axially graded layered uniform column...
AbstractA mathematical formulation of column optimization problems allowing for bimodal optimum buck...
formula, bifurcation, limit load, finite disturbance buckling The classical problem of buckling of a...
We establish existence, derive necessary conditions, and construct and test an algorithm for the max...
A novel approach to the optimization of flexible columns against buckling is presented. The problem ...
This paper presents a comprehensive set of exact stability criteria for Euler columns with an interm...
Approximative formula for post-buckling analysis of non-linearly elastic columns with superellipsoid...
The minimization of structural weight and the maximization of critical buckling load are problems th...
The minimization of structural weight and the maximization of critical buckling load are problems th...
An optimality criterion and resizing formula for design variables are developed for obtaining minimu...
[[abstract]]This paper intends to offer an alternative approach for deriving the buckling differenti...
International audienceProposed herein is a simple but powerful method for optimization of inhomogene...
Abstract – Stability of an elastic column with a changeable cross section loaded by a concentrated f...
Investigated herein is the postbuckling behavior of an initially imperfect nonlocal elastic column, ...
The report derives the differential equations for the overall bifurcation of locally buckled point-s...
This study presents critical buckling load optimization of the axially graded layered uniform column...