Application of structural topology optimisation to perforated steel beams

Computers & Structures - Tập 158 - Trang 108-123 - 2015
Konstantinos Daniel Tsavdaridis1, James J. Kingman2, Vassilli V. Toropov3
1Institute for Resilient Infrastructure, School of Civil Engineering, University of Leeds, Woodhouse Lane, LS2 9JT Leeds, UK
2AKT II, 100 St John Str., EC1M 4EH London, UK
3School of Engineering and Materials Science, Queen Mary University of London, Mile End Road, E1 4NS London, UK

Tài liệu tham khảo

Knowles, 1991, Castellated beams, Proc Inst Civ Eng, 90, 521 Redwood, 1969, The strength of steel beams with unreinforced web holes, Civil Eng Public Works Rev, 64, 559 Kerdal, 1984, Failure modes of castellated beams, J Constr Steel Res, 4, 295, 10.1016/0143-974X(84)90004-X Hosain, 1973, Experiments on castellated beams, J Am Weld Soc, 52, 329 Ward, 1990 Chung, 2001, Investigation on Vierendeel mechanism in steel beams with circular web openings, J Constr Steel Res, 57, 467, 10.1016/S0143-974X(00)00035-3 Tsavdaridis, 2012, Optimisation of novel elliptically-based web opening shapes of perforated steel, J Constr Steel Res, 76, 39, 10.1016/j.jcsr.2012.03.026 Tsavdaridis, 2012, Vierendeel bending study of perforated steel beams with various novel shapes of web openings, through non-linear finite element analyses, J Struct Eng – ASCE, 138, 1214, 10.1061/(ASCE)ST.1943-541X.0000562 Durif, 2013, Experimental tests and numerical modeling of cellular beams with sinusoidal openings, J Constr Steel Res, 82, 72, 10.1016/j.jcsr.2012.12.010 Wang, 2014, Investigation of Vierendeel mechanism failure of castellated steel beams with fillet corner web openings, Eng Struct, 74, 44, 10.1016/j.engstruct.2014.05.008 Vassart, 2008, Development of a new type of composite cellular beam, Singapore Eng, 3, 14 Erdal, 2011, Optimum design of cellular beams using harmony search and particle swarm optimizers, J Steel Constr Res, 67, 237, 10.1016/j.jcsr.2010.07.014 BS5950-1:2000. Structural use of steelwork in building. Code of practice for design. Rolled and welded sections. Lagaros, 2008, Optimum design of steel structures with web openings, Eng Struct, 30, 2528, 10.1016/j.engstruct.2008.02.002 Kingman JJ, Tsavdaridis KD, Toropov VV. Application of topology optimisation to the design of steel I-section webs. In: The 14th international conference of civil, structural and environmental engineering computing, 3–6 September. Cagliari, Sardinia, Italy; 2013. http://dx.doi.org/10.4203/ccp.102.223. Christensen, 2009 Belegundu, 2011 Engineering Science and Physical Research Panel. EPSRC review of UK academic research in ground and structural engineering; 2009. Nolan, 2012, Cost versus value – the role of the consulting engineer, Struct Eng, 90, 20 Xie, 1993, An evolutionary procedure for structural optimisation, Comput Struct, 49, 885, 10.1016/0045-7949(93)90035-C Eschenauer, 1994, Bubble method for topology and shape optimisation of structures, Struct Multidiscipl Optim, 8, 42, 10.1007/BF01742933 Wang, 2003, A level set method for structural topology optimisation, Comput Methods Appl Mech Eng, 192, 227, 10.1016/S0045-7825(02)00559-5 Norato, 2007, A topological derivative method for topology optimisation, Struct Multidiscipl Optim, 22, 375, 10.1007/s00158-007-0094-6 Michell, 1904, The limits of economy of material in frame structures, Phil Mag, 8, 589, 10.1080/14786440409463229 Rozvany, 1976, Optimal design of partially discretised grillages, J Mech Phys Solids, 24, 125, 10.1016/0022-5096(76)90022-3 Lewinski, 2007, Exact analytical solutions for some popular benchmark problems in topology optimisation II: three-sided polygonal supports, Struct Multidiscipl Optim, 33, 337, 10.1007/s00158-007-0093-7 Lewinski, 2008, Exact analytical solutions for some popular benchmark problems in topology optimisation III: L-shaped domains, Struct Multidiscipl Optim, 35, 165, 10.1007/s00158-007-0157-8 Rozvany, 2008, A critical review of established methods of structural and topology optimisation, Struct Multidiscipl Optim, 37, 217, 10.1007/s00158-007-0217-0 Rossow, 1973, A finite element method for the optimal design of variable thickness sheets, AIAA J, 11, 1566, 10.2514/3.50631 Sigmund, 1998, Numerical instabilities in topology optimisation: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima, Struct Optim, 16, 68, 10.1007/BF01214002 Eschenauer, 2001, Topology optimisation of continuum structures: a review, Appl Mech Rev, 54, 331, 10.1115/1.1388075 Zhou, 2001, On the validity of ESO type methods in topology optimisation, Struct Multidiscipl Optim, 21, 80, 10.1007/s001580050170 Querin, 1998, Evolutionary structural optimisation (ESO) using a bi-directional algorithm, Eng Comput, 15, 1031, 10.1108/02644409810244129 Bendsøe, 1989, Optimal shape design as a material distribution problem, Struct Optim, 1, 193, 10.1007/BF01650949 Bendsøe, 2003 Stolpe, 2001, On the trajectories of penalisation methods in topology optimisation, Struct Multidiscipl Optim, 21, 128, 10.1007/s001580050177 Cervellera P, Zhou M, Schramm U. Optimisation driven design of shell structures under stiffness, strength and stability requirements. In: 6th world congress of structural and multidisciplinary optimisation, 30th May – 3rd June 2005. Rio de Janeiro, Brazil; 2005. Poulsen, 2003, A new scheme for imposing minimum length scale in topology optimisation, Int J Numer Method Eng, 57, 741, 10.1002/nme.694 Altair Engineering Inc. Hyperworks 11.0; Radioss, motion solve and optistruct user’s guide; 2012. Zhou, 2002 Stromberg LL, Beghini A, Baker WF, Katz N, Paulino GH. Connecting engineering and architecture through structural topology optimisation; 2011. Leiva JP. A topology optimization method to extract optimal beam-like, plate-like, or shell-like structures from a solid finite element mesh. In: Eng Opt, 3rd International Conference on Engineering Optimization, Rio de Janeiro, Brazil; 01–05 July 2012. Tsavdaridis, 2011, Web buckling study of the behaviour and strength of perforated steel beams with different novel web opening shapes, J Constr Steel Res, 67, 1605, 10.1016/j.jcsr.2011.04.004 Tsavdaridis KD, D’Mello C. Finite element investigation on web-post buckling of perforated steel beams with various web opening shapes subjected under different shear-moment interaction. In: 6th European conference on steel and composite structures – EUROSTEEL, 31 August – 2 September 2011, vol. C. Budapest, Hungary; 2011. p. 1851–56. Tsavdaridis, 2012, Vierendeel bending study of perforated steel beams with various novel shapes of web openings, through non-linear finite element analyses, J Struct Eng, ASCE, 138, 1214, 10.1061/(ASCE)ST.1943-541X.0000562