Theoretical shape optimization of cold-formed thin-walled channel beams with drop flanges in pure bending

Magnucki, Krzysztof; Paczos, Piotr

doi:10.1016/j.jcsr.2009.03.010

Cited by 29 publications

(7 citation statements)

References 22 publications

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“…It may be concluded that lipped flanges and web stiffeners improve the stiffness and stability of beams (Tab. [2][3][4][5][6]. The critical forces increase slightly with the length of middle span L. However, parameter L in the considered range has virtually no influence on the critical stresses (less than 3%), but the longer is the middle span the more half-waves are observed.…”

Section: Fig14 Beam B5-s L = 500 Mm: the Relationship Between The mentioning

confidence: 88%

“…They tested 48 cold-formed steel lipped channel beams and considered different boundary and loading conditions, bearing lengths and section heights. Experimental investigations, distribution of stresses and displacements of cold-formed thin-walled beams were presented by Paczos and Magnucki [6] and Belingardi and Scattina [7]. The other works on this subject were Biegus et al [8], Paczos and Wasilewicz [9], Mahendran and Jeyaragan [10].…”

Section: Introductionmentioning

confidence: 99%

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The Numerical Investigation of Thin-Walled Beams with Modified C-Sections

Grenda

2018

Archives of Mechanical Technology and Materials

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Demand for thin-walled structures has been increasing for many years. Cold- formed, thin-walled channel beams are the subject of presented research. The local elastic buckling and limit load of these beams subjected to pure bending are investigated. This study includes numerical investigation called the Finite Strip Method (FSM). The presented results give a deep insight into behaviour of such beams and may be used to validate analytical models. The number of works devoted to the theory of thin-walled structures has been steadily growing in recent years. It means that is an increasing interest in practical methods of manufacturing cold-formed thin-walled beams with complicated cross-sections, including also beams with web stiffeners. The ratio of transverse dimensions of beam to its wall-thickness is high, therefore, thin-walled beams are prone to local buckling that may interact with other buckling modes. The stability constraints should be always considered when using cold-formed thin-walled beams.

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Section: Fig14 Beam B5-s L = 500 Mm: the Relationship Between The mentioning

confidence: 88%

Section: Introductionmentioning

confidence: 99%

The Numerical Investigation of Thin-Walled Beams with Modified C-Sections

Grenda

2018

Archives of Mechanical Technology and Materials

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“…The cross-sectional shape is the key element in enhancing the strength of cold-formed steel profiles as it controls the three fundamental buckling modes: local, distortional (for open profiles) and global. However, research on optimisation of cold-formed steel profiles has been restricted mainly to the conventional C, Z or Σ cross-sectional shapes [2][3][4][5][6][7][8][9] as shown Figure 1. Web and/or flange stiffeners (see Figure 1) used to avoid local instabilities were sometimes considered in the optimisation process.…”

Section: Generalmentioning

confidence: 99%

“…(4) if the constraints are greater than a violation criterion, as shown in Section 3.1. The greater the constant β, the greater the increase in the weight of the equality constraints in the function g in Eq.…”

mentioning

confidence: 99%

Self-shape optimisation principles: Optimisation of section capacity for thin-walled profiles

Gilbert

Teh

Guan

2012

Thin-Walled Structures

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For economical benefits, optimisation of mass-produced structural steel products has been widely researched. The objective is to minimise the quantity of material used without sacrificing the strength and practicality of the structural members. Current research focuses on optimising the main dimensions of conventional cross-sectional shapes but rarely considers discovering new optimum shapes. This paper introduces the concepts of a new optimisation method that enables the crosssection to self-shape to an optimum by using the evolution and adaptation benefits of Genetic Algorithm (GA). The feasibility and accuracy of the method are verified by implementing it to optimise the section capacity of thin-walled profiles. Specifically, the profiles are optimised against simple parameters for which analytical solutions are known, namely the optimisation of doublysymmetric closed profiles. Results show that the cross-section accurately self-shapes to its optimum in a low number of generations. Factors influencing the convergence are presented in this paper. The method is extended to optimisation of cold-formed steel open section columns in the companion paper.

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“…While the design variables in sizing optimisation are the dimensions of a predetermined shape [3][4][5][6][7][8][9][10][11][12], the vector of design variables in shape optimisation represents the boundary of the structural domain [13][14][15][16][17]. A major challenge in shape optimisation is the large number of design variables and constraints that need to be taken into account.…”

Section: Introductionmentioning

confidence: 99%

Shape optimization of thin-walled steel sections using graph theory and ACO algorithm

Sharafi

Teh

Hadi

2014

Journal of Constructional Steel Research

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Shape optimization of thin-walled steel sections using graph theory and ACO Shape optimization of thin-walled steel sections using graph theory and ACO algorithm algorithm Abstract Abstract This paper presents an intuitive procedure for the shape and sizing optimizations of open and closed thinwalled steel sections using the graph theory. The goal is to find shapes of optimum mass and strength (bi-objectives). The shape optimization of open sections is treated as a multi-objective all-pairs shortest path problem, while that of closed sections is treated as a multi-objective minimum mean cycle problem. The sizing optimization of a predetermined shape is treated as a multi-objective single-pair shortest path problem. Multi-colony ant algorithms are formulated for solving the optimization problems. The verification and numerical examples involving the shape optimizations of open and closed thin-walled steel sections and the sizing optimization of trapezoidal roof sheeting are presented. Abstract This paper presents an intuitive procedure for the shape and sizing optimisations of open and closed thin-walled steel sections using the graph theory. The goal is to find shapes of optimum mass and strength (bi-objectives). The shape optimisation of open sections is treated as a multi-objective all-pairs shortest path problem, while that of closed sections is treated as a multi-objective minimum mean cycle problem. The sizing optimisation of a predetermined shape is treated as a multi-objective single-pair shortest path problem. Multi-colony ant algorithms are formulated for solving the optimisation problems. The verification and numerical examples involving the shape optimisations of open and closed thin-walled steel sections and the sizing optimisation of trapezoidal roof sheeting are presented.

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Theoretical shape optimization of cold-formed thin-walled channel beams with drop flanges in pure bending

Cited by 29 publications

References 22 publications

The Numerical Investigation of Thin-Walled Beams with Modified C-Sections

The Numerical Investigation of Thin-Walled Beams with Modified C-Sections

Self-shape optimisation principles: Optimisation of section capacity for thin-walled profiles

Shape optimization of thin-walled steel sections using graph theory and ACO algorithm

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