Elastic buckling of columns with end restraint effects

Adman, R.; Saïdani, Messaoud

doi:10.1016/j.jcsr.2013.03.022

Cited by 16 publications

(10 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This length must be large enough to avoid local buckling and significantly smaller than the actual length of column L in order to avoid interaction with global buckling. Analogously to the previous case, replacing the function of deflection (2) in the boundary conditions (19) leads to the equation of local (distortional) stability (20) of elements of the cross section which is related to the U profile (the same form holds for the C profile, but with different coefficients). …”

Section: Local Buckling Of the Columnmentioning

confidence: 99%

“…Buckling modes of columns under a load depend on the boundary conditions at the ends and on geometric imperfections. Models of buckling of a column with elastic supports according to dimensionless parameters, which represent rotational and translational constraints, as well as the factors of effective lengths are considered by Adman and Saidani [2]. An analysis of the global stability of columns with a rectangular cross section, eccentric supported by another element is carried out by Zang and Tong on a example of light supporting structures [3].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Design of Columns in Terms of Stability

Đelošević

Vukajlov

Tepic

et al. 2018

TFAMENA

View full text Add to dashboard Cite

SummaryIn this paper, we investigate global and local stability of columns with an open and a closed thin-walled cross section. The proposed model of global stability is made of two deformable elements connected with an elastic joint. Stiffness of the elastic joint represents local discontinuity of the cross section of the column caused by the loss of stability of individual plates. The model of local stability of the columns is conceptualized on the principle of continuity of individual plates of the cross section. The coefficients of local buckling are defined as geometric parameters of the column with a rectangular hollow section (RHS) and a U-shaped cross section. The dominant parameters that influence the interactive behaviour of local and global buckling are the slenderness of plates and the column as a whole. The basic function of the developed models is to identify the stability mechanism in terms of better estimation of the critical force and higher load capacity.

show abstract

Section: Local Buckling Of the Columnmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design of Columns in Terms of Stability

Đelošević

Vukajlov

Tepic

et al. 2018

TFAMENA

View full text Add to dashboard Cite

show abstract

“…Patil et al [12] reviewed the buckling analyses of various structures like plates and shells while Hu and Burgue o [13] studied the elastic post buckling response of axially -loaded cylindrical shells with seeded geometric imperfection design. In the same way, Ziolkowski and Imieowski [14] discussed the buckling and post buckling behaviour of prismatic aluminium column submitted to a series of compressive loads while Adman and Saidani [15] discussed the elastic buckling of columns with end restraint effects. Similarly, Avcar [16] studied the elastic buckling of steel columns under axial compression while Kriegesmann et al [17] studied sample size dependent probabilistic design of axially compressed cylindrical shells.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic Analysis of the Static and Dynamic Buckling of a Column with Cubic - Quintic Nonlinearity Stressed by a Step Load

Ette

Chukwuchekwa

Udo-Akpan

et al. 2019

JAMCS

View full text Add to dashboard Cite

In this paper, the static and dynamic buckling loads of a viscously damped imperfect finite column lying on an elastic foundation with cubic – quintic nonlinearity but trapped by a step load (in the dynamic case) is investigated analytically. The main objective is to determine analytically both the static and dynamic buckling loads by means of perturbation and asymptotic procedures and relate both buckling loads in one single formula. The formulation contains small perturbations particularly in the viscous damping and imperfection amplitude. Multi – timing perturbation techniques and asymptotics are easily utilized in analyzing the problem. The results, which are nontrivially obtained, are implicit in nature and are valid as long as the magnitudes of the small perturbations become asymptotically small compared to unity.

show abstract

“…Perfectly rigid implies that the relative rotation of connected elements is not allowed, and that the bending moment is entirely transmitted from the beam to the column. On the other hand, perfectly articulated implies free rotation of the connected elements and the bending moment from the end of the beam is always zero [1,2].…”

Section: Introductionmentioning

confidence: 99%

Mechanical Modeling and General Analytical Solution for the Dynamic Buckling of Plane Structures Using a Beam-Column Element with Varying End Restraints

Beldjazia

Adman

Slimani

et al. 2021

Int. J. Str. Stab. Dyn.

View full text Add to dashboard Cite

The stability of structures is an important aspect that the designer must pay particular attention to in order to ensure safety against collapse. This investigation is concerned with analytical and numerical analyses of the dynamic buckling of plane structures. A rigorous mechanical model is proposed, consisting of a beam-column element with nodal ends possessing two rotational springs of rigidities acting in parallel with the bending stiffness of the beam-column. The model is first analyzed with respect to the dynamic behavior by investigating the influence of the variation in the stiffness of the nodal springs on the fundamental frequency of the proposed mechanical model. Compression axial loading is applied to the beam-column in order to study the nonlinear dynamic behavior by introducing buckling. This novel approach is used to highlight the interaction between the fundamental frequency and the critical buckling load. Simple examples are treated using the approach and the results are compared with those obtained from a global analysis. The results revealed that it is possible to reproduce the stability analysis of a global structure by simply analyzing a target element, taking into account all elements adjacent to it with less than 1% error on the results.

show abstract

Elastic buckling of columns with end restraint effects

Cited by 16 publications

References 8 publications

Design of Columns in Terms of Stability

Design of Columns in Terms of Stability

Asymptotic Analysis of the Static and Dynamic Buckling of a Column with Cubic - Quintic Nonlinearity Stressed by a Step Load

Mechanical Modeling and General Analytical Solution for the Dynamic Buckling of Plane Structures Using a Beam-Column Element with Varying End Restraints

Contact Info

Product

Resources

About