Nonlinear stability analysis of the frame structures

Ćorić, Stanko; Brčić, Stanko

doi:10.5937/grmk1603027c

Cited by 2 publications

(5 citation statements)

References 9 publications

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“…In the usual approaches based on the FEM, the solutions of the differential Equation ( 4) can be written as cubic polynomials, suitable for linear static analysis since they are derived from the solution of the differential equation of bending of a beam according to the linear theory. However, the outcome of such investigations showed [40] that significant errors for P cr might be obtained if an insufficient number of finite elements are used. In that case, it is always necessary to control how many finite elements are needed for a convergent solution.…”

Section: Advances In Civil Engineeringmentioning

confidence: 99%

“…So, an essential aspect of this research was devoted to the investigation of suitable numerical methods to obtain the solution of the corresponding transcendental stability equation. These solutions were implemented in a self-developed computer program [40], representing this paper's one of the most important contributions.…”

Section: Advances In Civil Engineeringmentioning

confidence: 99%

“…Column length is denoted by l, I is the moment of inertia, А is the cross-sectional area, and σ y is the yield stress. The stiffness matrix of the member that is clamped at one and hinged at the other end (so-called type "g") is given by Ćorić [40]. When the element is subjected to a tensile load, stiffness matrices have a similar form; only the hyperbolic functions are used instead of the trigonometric one.…”

Section: Advances In Civil Engineeringmentioning

confidence: 99%

“…In essence, the corresponding boundary conditions introduce the presence of other structural elements connected to the considered one. In many studies [16,19,40], however, it has been shown that these simplified solutions are not accurate enough to calculate columns within frames.…”

Section: Determination Of Effective Length Factors Of Compression Mem...mentioning

confidence: 99%

See 3 more Smart Citations

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: Advances In Civil Engineeringmentioning

confidence: 99%

Section: Advances In Civil Engineeringmentioning

confidence: 99%

Section: Advances In Civil Engineeringmentioning

confidence: 99%

Section: Determination Of Effective Length Factors Of Compression Mem...mentioning

confidence: 99%

See 2 more Smart Citations

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

Ćorić

Perović

2023

Advances in Civil Engineering

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“…Above that point it is inelastic with gradually decreasing resistance, measured by the tangent modulus E t . The theory postulates that, for an ideally straight column with an elastic critical stress greater than σ p , bifurcation of equilibrium can occur and the column will start to buckle at the load [8] 2…”

Section: Stability Analysis Of the Plane Frame Structures In Inelasti...mentioning

confidence: 99%

Elasto-Plastic Stability Analysis of the Frame Structures Using the Tangent Modulus Approach

Ćorić

Brčić

Vatin

2015

AMM

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This paper presents the procedure for stability analysis of frames in elastic-plastic domain using the concept of the tangent modulus. When the buckling of structure occurs in plastic domain, it is necessary to replace the constant modulus of elasticity E with the tangent modulus Et. Tangent modulus is stress dependent function and takes into account the changes of the member stiffness in the inelastic range. Formulation of the corresponding stiffness matrices is based upon the solution of the equation of bending of the beam according to the second order theory. Numerical analysis was performed using the code ALIN, developed in the C++ programming language

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Nonlinear stability analysis of the frame structures

Cited by 2 publications

References 9 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

Elasto-Plastic Stability Analysis of the Frame Structures Using the Tangent Modulus Approach

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