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Optimization of the box section of the main girder of the bridge crane with the rail placed above the web plate

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Abstract

The paper considers the problem of optimization of the box section of the main girder of the bridge crane. Reduction of the girder mass is set as the objective function. The method of Lagrange multipliers was used as the methodology for approximate determination of optimum dependences of geometrical parameters of the box section. The criteria of permissible stresses and strains, lateral stability and dynamic stiffness were applied as the constraint functions. The obtained results of optimization of geometrical parameters were verified on numerical examples and the comparison with some solutions of cranes was made. The comparative analysis of the optimization results and the solutions was the basis for recommendations which are significant for designers during construction of cranes.

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References

  • Blum A, Haremski K (2010) An influence of technological contraflexure of crane bridges on its durability. Transp Probl 5(1):5–14

    Google Scholar 

  • Catalogues (1996) And as-built projects of Serbian crane manufacturers. IMK 14 Oct., MIN, ILR

  • European norm “prEN 13001–3–1 (2010) Cranes – General design – Limit states and proof of competence of steel structures”

  • Farkas J (1984) Optimum design of metal structures. Akademiai KIADO, Budapest

    Google Scholar 

  • Farkas J (1986) Economy of higher-strength steels in overhead travelling cranes with double-box girders. J Construct Steel Res 6:285–301

    Article  Google Scholar 

  • Farkas J (2005) Structural optimization as a harmony of design, fabrication and economy. Struct Multidisc Optim 30:66–75

    Article  Google Scholar 

  • Farkas J, Jármai K (1997) Analysis and optimum design of metal structures. Balkema, Rotterdam

    Google Scholar 

  • Farkas J, Simoes LMC, Jarmai K (2005) Minimum cost design of a welded stiffened square plate loaded by biaxial compression. Struct Multidisc Optim 29:298–303

    Article  Google Scholar 

  • Farkas J, Jármai K, Snyman JA (2010) Global minimum cost design of a welded square stiffened plate supported at four corners. Struct Multidisc Optim 40:477–489

    Article  Google Scholar 

  • FEM 9.511 Crane standard CRANE STANDARD (1986)

  • Gašić M, Savković M, Bulatović R, Petrović R (2011a) Optimization of a pentagonal cross section of the truck crane boom using Lagrange’s multipliers and differential evolution algorithm. Meccanica. Online First 13 August 2010. doi:10.1007/s11012-010-9343-7

  • Gašić M, Savković M, Bulatović R (2011b) Optimization of trapezoidal cross section of the truck crane boom by Lagrange’s multipliers and by differential evolution algorithm (DE). Strojniški vestnik. J Mech Eng 57(2011)4:304–312

    Google Scholar 

  • ISO 4301–1 Cranes and lifting appliances-classification (1986)

  • Jarmai K (1990) Decision support system on IBM PC for design of economic steel structures applied to crane girders. Thin-Walled Struct 10:143–159

    Article  Google Scholar 

  • Jarmai K, Farkas J (2001) Optimum cost design of welded box beams with longitudinal stiffeners using advanced backtrack method. Struct Multidisc Optim 21:52–59

    Article  Google Scholar 

  • Jarmai K, Snyman JA, Farkas J, Gondos G (2003) Optimal design of a welded I-section frame using four conceptually different optimization algorithms. Struct Multidisc Optim 25:54–61

    Article  Google Scholar 

  • Kaufmann M, Zenkert D, Wennhage P (2010) Integrated cost/weight optimization of aircraft structures. Struct Multidisc Optim 41:325–334

    Article  Google Scholar 

  • Mijailović (2010) Optimum design of lattice-columns for buckling. Struct Multidisc Optim 42:897–906

    Article  Google Scholar 

  • Mijailovic R, Kastratovic G (2009) Cross-section optimization of tower crane lattice boom. Meccanica 44:599–611

    Article  MathSciNet  Google Scholar 

  • Niezgodziñski T, Kubiak T (2005) The problem of stability of web sheets in box-girders of overhead cranes. Thin-Walled Struct 43(2005):1913–1925

    Article  Google Scholar 

  • Ostrić D, Tošić S (2005) Cranes (Dizalice). Institute for mechanization of the faculty of mechanical engineering of the university in Belgrade, Belgrade

  • Pinca BC, Tirian OG, Socalici VA, Ardeleadn DE (2009a) Dimensional optimization for the strength structure of a traveling crane. WSEAS Trans Appl Theor Mech 4(4):147–156

    Google Scholar 

  • Pinca BC, Tirian OG, Josan A, Chete G (2009b) Quantitative and qualitative study on the state of stresses and strains of the strength structure of a crane bridge. WSEAS Trans Appl Theor Mech 5(4):231–241

    Google Scholar 

  • Qin D, Zhu Q (2010) Structural topology optimization of box girder based on method of moving asymptotes (MMA). In: International conference on intelligent computation technology and automation. Changsha, Hunan, China, pp 402–405

  • Savković M (2005) Optimization of complex cross sections of structures of autocrane booms (Optimizacija složenih popreènih preseka konstrukcija strele autodizalice). (IMK-14- Research and Development) IMK -14- Istraživanje i razvoj 20–21(1):41–45

    Google Scholar 

  • Selmic R, Cvetkovic P, Mijailovic R, Kastratovic G (2006a) Optimum dimensions of triangular cross-section in lattice structures. Meccanica 41:391–406

    Article  MATH  Google Scholar 

  • Selmic R, Cvetkovic R, Mijailovic R (2006b) Optimization of crosssection in structures, monograph. The Faculty of Transport and Traffic Engineering, Belgrade

    Google Scholar 

  • Zuberi RH, Kai L, Zhengxing Z (2008) Design optimization of EOT crane bridge. In: Eng Opt 2008 - International conference on engineering optimization. Rio de Janeiro, Brazil, pp 192–201

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Acknowledgments

A part of this work is a contribution to the Ministry of Science and Technological Development of Serbia funded Project TR35038.

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Correspondence to Mile M. Savković.

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Savković, M.M., Gašić, M.M., Ćatić, D.M. et al. Optimization of the box section of the main girder of the bridge crane with the rail placed above the web plate. Struct Multidisc Optim 47, 273–288 (2013). https://doi.org/10.1007/s00158-012-0813-5

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  • DOI: https://doi.org/10.1007/s00158-012-0813-5

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