Lateral Postbuckling Analysis of Beam Columns

Kounadis, A. N.; Ioannidis, George

doi:10.1061/(asce)0733-9399(1994)120:4(695)

Cited by 22 publications

(8 citation statements)

References 15 publications

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“…where w (x)/ 1 − w 2 (x) is the "exact" (for usual materials) expression for the curvature [3,11,12], while λ = P 2 /EI and µ = k f 4 /EI . Using the approximation…”

Section: Mathematical Analysismentioning

confidence: 99%

Postbuckling analysis of columns resting on an elastic foundation

2006

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The postbuckling response of perfect and geometrically imperfect elastic columns resting on an elastic Winkler type foundation is thoroughly discussed. This is established by employing an approximate analytic technique leading to very reliable results in the vicinity of the critical state. It was found that the critical state of perfect columns is a stable symmetric bifurcation point and consequently there is no sensitivity to initial geometrical imperfections. Moreover, a simple but readily analyzed mechanical model is proposed to simulate the salient features of buckling mechanism of the column on elastic foundation with those of the model. The simplicity, reliability and efficiency of the proposed analysis as well as the successful modeling of the buckling mechanism of the column by that of a single mode mechanical model are illustrated with the aid of numerical examples.

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“…where w (x)/ 1 − w 2 (x) is the "exact" (for usual materials) expression for the curvature [3,11,12], while λ = P 2 /EI and µ = k f 4 /EI . Using the approximation…”

Section: Mathematical Analysismentioning

confidence: 99%

Postbuckling analysis of columns resting on an elastic foundation

2006

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“…Therefore, there are not many papers dealing with this matter. Post-buckling analyses, refereing mainly to frames, were reported by Kounadis [8,9], while for the case of beams subjected to bending or bending and axial compression, reference to the work of Kounadis and Ioannidis [10,11] could be cited.…”

Section: Introductionmentioning

confidence: 98%

Lateral-torsional buckling of simply supported beams under uniform bending and axial tensile force

Ioannidis

Avraam

2012

Arch Appl Mech

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“…Trahair [11] presented a comprehensive state of the art about boundary conditions effects on the stability of thin-walled elements. Kounadis and Ioannidis [12] and Ioannidis and Kounadis [13] developed semi-analytical studies for the post-buckling analysis of monosymmetric thin-walled I-beams under uniform bending moments and compressive axial loading. Mohri et al [14] studied the lateral post-buckling analysis of simply supported thin-walled open section beams employing the Galerkin method after applying sinusoidal functions.…”

Section: Introductionmentioning

confidence: 99%

Lateral buckling analysis of beams of arbitrary cross section by BEM

Sapountzakis

Dourakopoulos

2009

Comput Mech

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In this paper, the lateral buckling analysis of beams of arbitrary cross section is presented taking into account moderate large displacements and employing nonlinear relationships between bending moments and curvatures. The beam is supported by the most general boundary conditions including elastic support or restraint. Starting from a displacement field without any simplifying assumptions about the angle of twist amplitude and based on the total potential energy principle, the stability criterion is formulated taking into account the warping effects, the prebuckling displacements and the Wagner's coefficients due to the asymmetric character of the cross section. The stability criterion is based on the positive definiteness of the second variation of the total potential energy and is established using the Analog Equation Method (AEM), a BEM based method. The proposed formulation does not stand on the assumption of a thin-walled structure and therefore the cross section's torsional rigidity is evaluated exactly without using the so-called Saint-Venant's torsional constant. Numerical examples are worked out to illustrate the efficiency, the accuracy and the range of applications of the developed method. The effects of both the load height and prebuckling deflections as well as the discrepancy of the Eurocode 3 standard solutions are discussed.

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Lateral Postbuckling Analysis of Beam Columns

Cited by 22 publications

References 15 publications

Postbuckling analysis of columns resting on an elastic foundation

Postbuckling analysis of columns resting on an elastic foundation

Lateral-torsional buckling of simply supported beams under uniform bending and axial tensile force

Lateral buckling analysis of beams of arbitrary cross section by BEM

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