Abstract
The cross sections of truck crane booms are complex box-like cross sections which should provide continuous stress distribution. It is difficult to analytically determine the optimal relations among geometric parameters of such cross sections. The paper deals with the method for determination of relations among geometric parameters in order to reach the optimal shape of the cross section. The method is based on Lagrange’s multipliers used for determination of extreme values. The optimization of geometric parameters has been also done by the algorithm of Differential Evolution (DE). The optimization of cross section is based on the strength criterion. The results of applied methods have been verified by means of numerical example for an existing solution. The comparative analysis of the results of both methods has been done, too.
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References
Adrianenko NN, Hasilev VL (1987) Increasing the lifting load of the self propelled auto-cranes by decreasing the boom weight. In: Mechanical engineering, N0 5, Moskva. (In Russian)
Balovnev VI, Saveljev AG, Moiseev GD (1990) Determination of minimal weight of the construction and transportation machines’ structure elements. In: Construction and transportation machines, N0 3, Moskva. (In Russian)
Saveljev AG (1998) Theoretical contribution to the optimal design of the thin-wall profiles with minimal mass. In: Interstojmeh 98, Voronež. (In Russian)
Šelmić R, Mijailović R (1998) Contribution to the determination of the trapezoidal cross-section optimal dimensions. In: Interstojmeh 98, Voronež. (In Russian)
Šelmić R, Mijajlović R (1998) Optimum dimensions of trapezium cross-section in structures. In: XV ECPD international conference on material handling and warehousing, Belgrad
Savković M, Gašić M, Ostrić D (1999) Optimization of the auto-crane telescopic boom pentagon cross-section geometry. In: The third international conference HM-99, Kraljevo
Mijajlović R, Marinković Z, Jovanović M (2000) Dynamics and optimisation of cranes, Mašinski fakultet Niš, Niš
Gašić M, Rajović M, Savković M (2002) Contibution to the optimization of the box cross sections of the boom of the mobile hydraulic crane. In: The fourth international conference, HM-99, Kraljevo
Gašić M, Savković M (2002) Contribution to determination of stress in the contact zone of segments of auto crane boom. In: XVII ICMFMDI international conference on “Material flow, machines and devices in industry”, Beograd
Šelmić R, Cvetković P, Mijajlović R, Kastratović G (2006) Optimum dimensions of triangular cross-section in lattice structures. Meccanica 41:391–406
Mijajlović R, Kastratović G (2009) Cross-section of tower crane lattice boom. Meccanica 44:599–611
Storn R, Price K (1997) Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J Glob Optim 11(4):341–359
Price K, Storn R (1997) A simple evolution strategy for fast optimization. DR Dobb’s J 264:18–24
Storn R On the usage differential evolution for function optimization. Internet address: http://http.icsi.berkley.edu/~storm/litera.html
Price KV, Storn RM, Lampinen JA (2005) Differential evolution—a practical approach to global optimization. Springer, Berlin
Lampinen J (2001) A bibliography of differential evolution algorithm. Lappeenranta University of Technology, Finland
Kukkonen S, Lampinen J (2004) Comparison of generalized differential evolution to other multi-objective evolutionary algorithms. [Online] Available: www.imamod.ru/~serge/arc/conf/ECCOMAS_2004/ECCOMAS_V2/proceeding/pdf/716.pdf
Catalogues of Serbian truck crane manufacturers IMK 14 oktobar, ILR Beograd
Guven U (2009) On determination of the instability strain of material considering the effect of elastic deformation. Meccanica 44:465–467
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Gašić, M.M., Savković, M.M., Bulatović, R.R. et al. Optimization of a pentagonal cross section of the truck crane boom using Lagrange’s multipliers and differential evolution algorithm. Meccanica 46, 845–853 (2011). https://doi.org/10.1007/s11012-010-9343-7
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DOI: https://doi.org/10.1007/s11012-010-9343-7