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Lateral-torsional buckling (LTB) of beams is a classic problem in structural stability. The phenomenon is well-known for many decades. In the practice it appears most pronouncedly in thin-walled, e.g., steel beams. Various analytical and numerical solutions exist for the linear lateral-torsional buckling problem (i.e., when the structure and loading are assumed to be perfect, the material is linearly elastic, and nonlinearity of the strains is approximated by second-order relationships). There are various design methods, too, included in the relevant design standards for steel structures. It can be observed, however, that the solutions for the linear LTB problem are applicable under relatively specific circumstances only, while the solutions which can technically be applied for more general cases might significantly under- or overestimate the critical load values. As far as the design methods are concerned, they are not general enough, neither, moreover, the various design methods lead to diverse design resistances, with sometimes significant differences. (E.g., the current Eurocode 3 design code includes at least three different methods for LTB design.) One of the most important limitations of the available critical force formulae and design methods is that they can handle mostly doubly (or maybe singly) symmetrical cross-sections. The aim of the actual research is to investigate the lateral-torsional buckling of thin-walled beams with asymmetric cross-sections.
The proposed research covers both the linear LTB problem (i.e., calculation of critical load) and the prediction of the design resistance. In case of the linear problem it is planned to derive analytical solutions, as well as to apply/develop numerical procedures. In case of the design resistance nonlinear finite element simulations are to be performed with considering initial imperfections, as well as a few simple tests are planned to conduct.
The PhD applicant must have appropriate mechanical and mathematical background knowledge, as well as he/she must have high level ability to use non-linear finite element software (first of all: ANSYS). Fluency in English is a must, too. Programming skills and/or knowledge of a programming language (such as MatLab) is appreciated, as well as familiarity with current design standards for thin-walled steel is welcomed.
A téma meghatározó irodalma:
1. Timoshenko S, Gere J: Theory of elastic stability, McGraw-Hill, 1961.
2. Sapkás Á, Kollár P L: Lateral-torsional buckling of composite beams, International Journal of Solids and Structures, Volume 39, Issue 11, pp 2939-2963 (2002)
3. Glauz R S: Lateral-Torsional Buckling of General Cold-Formed Steel Beams, Recent Research and Developments in Cold-Formed Steel Design and Construction (eds.: Roger A LaBoube, Wei-Wen Yu), Baltimore, USA, 2016.11.09-2016.11.10. pp. 281-295, 2016.
4. Ádány S, Visy D: Lateral-torsional buckling of thin-walled beams: an analytical solution based on shell model, Proceedings of the Sixth International Conference on Thin-Walled Structures (ICTWS 2011), Sept 5-7, 2011, Timisoara, Romania, (Eds. Dubina D & Ungureanu V), pp.125-132.
5. Ádány S: Global Buckling of Thin-Walled Columns: Analytical Solutions based on Shell Model, THIN-WALLED STRUCTURES, Vol 55, pp 64-75. (2012)
6. AISI: Supplement 2004 to the North American Specification for the Design of Cold-Formed Steel Structural Members, 2001 Edition: Appendix 1, Design of Cold-Formed Steel Structural Members Using Direct Strength Method. Publication SG05-1, American Iron and Steel Institute, Washington, D.C. (2004)
7. CEN: EN 1993-1-1:2005 - Eurocode 3: Design of steel structures - Part 1-1: General rules, Rules for buildings, European Committee for Standardization, Brussels, Belgium (2005)
8. CEN: EN 1993-1-3:2006 - Eurocode 3: Design of steel structures. Part 1-3: General rules, Supplementary rules for cold-formed thin gauge members and sheeting, European Committee for Standardization, Brussels, Belgium (2006)
A téma hazai és nemzetközi folyóiratai:
1. Thin-Walled Structures
2. Journal of Constructional Steel Research
3. Journal of Structural Engineering
4. Computers and Structures
5. Journal of Solids and Structures
A témavezető utóbbi tíz évben megjelent 5 legfontosabb publikációja:
1. Ádány S, Schafer B W, A full modal decomposition of thin-walled, single-branched open cross-section members via the constrained finite strip method, JOURNAL OF CONSTRUCTIONAL STEEL RESEARCH 64:(1) pp. 12-29. (2008)
2. Ádány S, Joó A L, Schafer B W: Buckling Mode Identification of Thin-Walled Members by using cFSM Base Functions”, THIN-WALLED STRUCTURES, 48(10-11), pp 806-817. (2010)
3. Ádány S: Global Buckling of Thin-Walled Columns: Analytical Solutions based on Shell Model, THIN-WALLED STRUCTURES, Vol 55, pp 64-75. (2012)
4. Ádány S, Schafer B W, Generalized constrained Finite Strip Method for thin-walled members with arbitrary cross-section: primary modes, THIN-WALLED STRUCTURES 84: pp. 150-169. (2014)
5. Ádány S, Visy D, Nagy R: Constrained shell Finite Element Method, Part 2: application to linear buckling analysis of thin-walled members, THIN-WALLED STRUCTURES (2017). (megjelenés alatt, online elérhető)
A témavezető fenti folyóiratokban megjelent 5 közleménye:
1. Ádány S: Global Buckling of Thin-Walled Columns: Analytical Solutions based on Shell Model, THIN-WALLED STRUCTURES, Vol 55, pp 64-75. (2012)
2. Ádány S, Schafer B W, Generalized constrained Finite Strip Method for thin-walled members with arbitrary cross-section: primary modes, THIN-WALLED STRUCTURES 84: pp. 150-169. (2014)
3. Ádány S, Schafer B W, A full modal decomposition of thin-walled, single-branched open cross-section members via the constrained finite strip method, JOURNAL OF CONSTRUCTIONAL STEEL RESEARCH 64:(1) pp. 12-29. (2008)
4. Ádány S, Kachichian M, Kövesdi B, Dunai L, Experimental Studies on Deep Trapezoidal Sheeting with Perforated Webs, JOURNAL OF THE STRUCTURAL ENGINEERING 139:(5) pp. 729-739. (2013)
5. Beregszászi Z, Ádány S, Application of the constrained finite strip method for the buckling design of cold-formed steel members via the direct strength method, COMPUTERS & STRUCTURES 89:(21-22) pp. 2020-2027. (2011)
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