Iterative eigenvalue analysis for stability design of three-dimensional frames considering a fictitious axial force factor

Choi, Dongho; Na, Ho-Sung; Jung, Jin Seung; Yoo, Hongki

doi:10.1007/bf03215841

Cited by 4 publications

(3 citation statements)

References 6 publications

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“…So, LeMessurier [15] introduced factors that lead to more realistic results, Gantes and Mageirou [16] proposed improved stiffness distribution factors for effective buckling length calculation, while Tong and Wang [17] considered interstory and intercolumn interactions for the determination of effective length coefficients. In their investigations, Choi et al [18] used a fictitious axial force factor to determine effective length factors, and Webber et al [19] and Gunaydin and Aydin [20] improved the calculation of the distribution coefficients.…”

Section: Introductionmentioning

confidence: 99%

Stability Calculation of the Plane Steel Frame Structures Using Tangent Modulus Theory

Ćorić

Perović

2023

Advances in Civil Engineering

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This paper considers the phenomenon of the instability of steel plane frame structures in the elastic–plastic domain. The numerical analysis uses finite element method, where the corresponding stiffness matrices are based upon the trigonometric and hyperbolic interpolation functions of normal forces. The tangent modulus concept is applied when buckling occurs in the plastic range. Thus, the stiffness matrices for nonlinear material behavior are also derived. The procedure for determining effective length factors of compressed columns, which implies a global stability analysis of entire frames, is established too. It means that the proposed approach is based on the assumption that the collapse of the structure occurs when the most loaded columns reach their stability limit. So, the presented procedure enables the calculation of the real critical load of plane frame structures in the elastic–plastic domain and determines the corresponding effective length factors.

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Section: Introductionmentioning

confidence: 99%

Stability Calculation of the Plane Steel Frame Structures Using Tangent Modulus Theory

Ćorić

Perović

2023

Advances in Civil Engineering

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“…Shanmugam and Chen (1995) presented a brief review and assessment of four different methods in determination of K-factors including the alignment chart, the LeMessurier's formula, the Lui's formula, and the system buckling method. Choi et al (2010) presented the numerical method determining the inelastic effective length of each member in three-dimensional steel frames based on iterative schemes and the stiffness reduction factors considering a fictitious axial force factor. However, the above-mentioned studies were restricted to the stability analysis of the frames subjected to the conservative forces.…”

Section: Introductionmentioning

confidence: 99%

System buckling analysis for multi-story frames subjected to nonconservative forces

Kim

Choi

2015

Int J Steel Struct

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The evaluation of the effective length factor (K-factor) of columns based on the system buckling approach is a convenient tool in the stability design of multi-story frames. This method is superior to other analytical approaches, such as isolated subassembly and story-based approaches, in that inter-column and inter-story interactions are inherently taken into account. In this study, in order to investigate the effect of nonconservative forces on buckling loads and K-factors for the single-and multistory framed structures, the system buckling approach is presented. For this purpose, the finite element model, based on the Hamilton's principle, is formulated for the stability analysis of framed structures subjected to nonconservative forces. In numerical examples, buckling loads and K-factors for single-and multi-story frames subjected to conservative or nonconservative forces are evaluated and compared with those obtained by other researchers. Especially the effect of the stiffness ratio of girder to column on K-factors is investigated for nonconservative systems.

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“…Yura [13] proposed an iterative procedure to determine the K-factor in the inelastic range of column behavior. Choi et al [22] presented the numerical method determining the inelastic effective length of each member in three-dimensional steel frames based on iterative schemes and the stiffness reduction factors considering a fictitious axial force factor. Kim and Lee [23] investigated the influence of the P-∆ effect on the behavior of middle-rise unbraced steel frames using the refined plastic hinge method with an arc length algorithm.…”

Section: Introductionmentioning

confidence: 99%

Inelastic Stability Analysis for Framed Structures Subjected to Nonconservative Forces

Kim

Choi²

2013

Volume 9 Number 4

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In this study, the inelastic system buckling analysis is developed to evaluate the buckling loads and the effective length factors for columns in steel frames subjected to nonconservative forces. For this purpose, the finite element model for the nonconservative system is presented based on an extended Hamilton principle. The traditional elastic and inelastic stability analyses are briefly introduced for the conservative systems. Then evaluation procedure for the critical value of buckling load and its corresponding effective length factor for the nonconservative system are proposed based on the inelastic system buckling approach. In numerical examples, the buckling loads and the effective length factors for the inelastic conservative or nonconservative steel frames are evaluated and compared with results by other researchers. Particularly, the effects of various parameters such as the nonconservativeness parameter, the stiffness and span ratios of beam to column of frames on the inelastic stability behavior of nonconservative systems are newly addressed.

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Iterative eigenvalue analysis for stability design of three-dimensional frames considering a fictitious axial force factor

Cited by 4 publications

References 6 publications

Stability Calculation of the Plane Steel Frame Structures Using Tangent Modulus Theory

Stability Calculation of the Plane Steel Frame Structures Using Tangent Modulus Theory

System buckling analysis for multi-story frames subjected to nonconservative forces

Inelastic Stability Analysis for Framed Structures Subjected to Nonconservative Forces

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