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Optimization of anti-symmetrical open cross-sections of cold-formed thin-walled

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Warianty tytułu
PL
Optymalizacja otwartych antysymetrycznych przekrojów belek cienkościennych walcowanych na zimno
Języki publikacji
EN
Abstrakty
EN
The paper deals with cold-formed thin-walled beams with the Z-, S- and Clothoid-section. A short survey of optimal designs of thin-walled beams with open cross-sections is given. Geometric properties of three cross- sections are described. Strength, local and global buckling conditions for thin-walled beams are presented. The optimal design criterion with a dimensionless objective function as a quality measure is defined. Results of numerical calculations for optimal shapes of three cross-sections are presented in tables and figures.
PL
W artykule rozważane są belki o przekrojach poprzecznych w kształcie Z-, S- oraz w kształcie klotoidy. Zamieszczono krótki przegląd zagadnień optymalnego projektowania belek cienkościennych o przekrojach otwartych. Opisano właściwości geometryczne trzech rozważanych przekrojów. Zapisano warunki wytrzymałości oraz lokalnej i ogólnej stateczności belek cienkościennych. Sformułowano kryterium optymalizacyjne z wykorzystaniem bezwymiarowej funkcji celu będącej miarą jakości przekroju. Wyniki numerycznych obliczeń optymalnych zarysów przekrojów poprzecznych przedstawiono w tablicach i na rysunkach.
Rocznik
Strony
553--571
Opis fizyczny
Bibliogr. 35 poz., rys., tab.
Twórcy
autor
autor
Bibliografia
  • 1. Cardoso J.B., Imperial College Press 2000, Optimal design criteria, Proc. of the Third Int. Conference on Coupled Instabilities in Metal Structures, CIMS’2000, D. Camotim, D. Dubina, J. Rondal (Edit.), Lisbon, 625-634
  • 2. Chu X., Li L., Kettle R., 2004, The effect of warping stress on the lateraltorsion buckling of cold-formed zed-purlins, Journal of Applied Mechanics 71, 742-744
  • 3. Chu X., Ye Z., Li L., Kettle R., 2006, Local and distortional buckling of cold-formed zed-section beams under uniformly distributed transverse loads, Int. Journal of Mechanical Sciences, 48, 378-388
  • 4. Gajewski A., Życzkowski M., 1988, Optimal Structural Design under Stability Constraints, Dordrecht, Boston, London, Kluwer Academic Publishers
  • 5. Joniak S., Magnucki K., Szyc W., 2008, Theoretical and experimental investigations of elastic buckling of open circular cylindrical shells, Proc. 5th Int. Conference on Coupled Instabilities in Metal Structures, 1, K. Rasmussen, T. Wilkinson (Edit.), The University of Sydney, Australia, CIMS, 23/25, 465-472
  • 6. Karim A., Adeli H., 1999, Global optimum design of cold-formed steel hatshape beams, Thin-Walled Structures, 35, 275-288
  • 7. Kasperska R., Magnucki K., Ostwald M., 2007, Bicriteria optimization of cold-formed thin-walled beams with monosymmentrical open cross-sections under pure bending, Thin-Walled Structures, 45, 563-572
  • 8. Krishnan S., Shetty K.V., 1959, On the optimum design of an I-section beam, Journal of Aero/Space Sciences, 26, 9, 599-600
  • 9. Krużelecki J., 2004, A review of optimal structural design of shells, Proc. Third Conf. Thin-Walled Vessels, S. Joniak et al. (Edit), Karlow, Poland, 35-72
  • 10. Lee J., Kim S.-M., Park H.-S., Woo B.-H., 2005, Optimum design of coldformed steel channel beams using micro Genetic Algorithm, Engineering Structures, 27, 17-24
  • 11. Li L., 2004, Lateral-torsion buckling of cold-formed zed-purlins partial-laterally restrained by metal sheeting, Thin-Walled Structures, 42, 995-1011
  • 12. Liu H., Igusa T., Schafer B.W., 2004, Knowledge-based global optimization of cold-formed steel columns, Thin-Walled Structures, 42, 785-801
  • 13. Mackerle J., 2003, Topology and shape optimization of structures using FEM and BEM. A bibliography (1999-2001), Finite Elements in Analysis and Design, 39, 243-253
  • 14. Magnucka-Blandzi E., Magnucki K., 2004a, Elastic buckling of an axially compressed open circular cylindrical shell, Proceedings in Applied Mathematics and Mechanics, PAMM, 4, 546-547
  • 15. Magnucka-Blandzi E., Magnucki K., 2004b, Optimal open cross-section of thin-walled beams, Thin-Walled Structures. Advances in Research, Design and Manufacturing Technology. Proc. 4th Intl Conference on Thin-Walled Structures, J. Loughlan (Edit.), Loughborough, UK, Institute of Physics Pub., Bristol and Philadelphia, 877-884
  • 16. Magnucki K., 2002, Optimization of open cross-section of the thin-walled beam with flat web and circular flange, Thin-Walled Structures, 40, 297-310
  • 17. Magnucki K., Mackiewicz M., 2006, Elastic buckling of an axially compressed cylindrical panel with three edges simply supported and one edge free, Thin-Walled Structures, 44, 387-392
  • 18. Magnucki K., Maćkiewicz M., Lewiński J., 2006a, Optimal design of a mono-symmetrical open cross-section of a cold-formed beam with cosinusoidally corrugated flanges, Thin-Walled Structures, 44, 554-562
  • 19. Magnucki K., Magnucka-Blandzi E., 1999, Variational design of open cross-section thin-walled beam under stability constraints, Thin-Walled Structures, 35, 185-191
  • 20. Magnucki K., Monczak T., 2000, Optimum shape of open cross-section of thin-walled beam, Engineering Optimization, 32, 335-351
  • 21. Magnucki K., Ostwald M., 2005a, Optimal design of open cross-sections of cold-formed thin-walled beams, Proc. of the Fourth Intl Conference on Advances in Steel Structures, Z.Y. Shen et al. (Edit.), Shanghai, China, Elsevier, 1311-1316
  • 22. Magnucki K., Ostwald M., 2005b, Optimal Design of Selected Open Cross Sections of Cold-Formed Thin-Walled Beams, Publishing House of Poznan University of Technology, Poznań
  • 23. Magnucki K., Paczos P., 2008, Elastic buckling and effective shaping of selected cross-sections of flanges of thin-walled channel beams, Proc. 5th Int. Conference on Coupled Instabilities in Metal Structures, 1, K. Rasmussen, T. Wilkinson (Edit.), The University of Sydney, Australia, 375-382
  • 24. Magnucki K., Rodak M., Lewiński J., 2006b, Optimization of mono- and anti-symmetrical I-section of cold-formed thin-walled beams, Thin-Walled Structures, 44, 832-836
  • 25. Magnucki K., Szyc W., Stasiewicz P., 2004, Stress state and elastic buckling of a thin-walled beam with monosymmetrical open cross-section, ThinWalled Structures, 42, 25-38
  • 26. Manevich A.I., Raksha S.V., 2007, Two-criteria optimization of H-section bars-beams under bending and compression, Thin-Walled Structures, 45, 898-901
  • 27. Ostwald M., Magnucki K., 2008, Optimal Design of Cold-Formed Thin-Walled Beams with Open Cross-Sections, Poznan, Comprint [in Polish]
  • 28. Ostwald M., Magnucki K., Rodak M., 2007, Bicriteria optimal design of open cross-sections of cold-formed beams, Steel and Composite Structures, 7, 53-70
  • 29. Ostwald M., Rodak M., 2008, Multicriteria optimization of cold-formed thin-walled beams with generalized open shape, Proc. 5th Int. Conference on Thin-Walled Structures, 1, M. Mahendran (Edit.), Queensland University of Technology, Brisbane Australia, 509-516
  • 30. Pi Y.-L., Put B.M., Trahair N.S., 1999, Lateral buckling strengths of coldformed Z-section beams, Thin-Walled Structures, 34, 65-93
  • 31. Stasiewicz P., Magnucki K., Lewiński J., Kasprzak J., 2004, Local buckling of a bent flange of a thin-walled beam, Proceedings in Applied Mathematics and Mechanics, PAMM, 4, 554-555
  • 32. Tian Y.S., Lu T.J., 2004, Minimum weight of cold formed steel sections under compression, Thin-Walled Structures, 42, 515-532
  • 33. Tran T., Li L., 2006, Global optimization of cold-formed steel channel sections, Thin-Walled Structures, 44, 399-406
  • 34. Ventsel E., Krauthammer T., 2001, Thin Plates and Shells. Theory, Analysis and Applications, New York, Basel, Marcel Dekker, Inc.
  • 35. Vinot P., Cogan S., Piranda J., 2001, Shape optimization of thin-walled beam-like structures, Thin-Walled Structures, 39, 611-630
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWM4-0022-0003
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