naa a22 4500 51079078X CHVBK 20180411083319.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s12289-011-1079-y doi (NATIONALLICENCE)springer-10.1007/s12289-011-1079-y Multi-objective optimization of loading path design in multi-stage tube forming using MOGA [Elektronische Daten] [Honggang An, Daniel Green, Jennifer Johrendt, Lorenzo Smith] Pre-bending is a critical process required prior to hydroforming. The bending has an effect on the tube thickness and strain which will use up a portion of the formability of the as-received tube. To compensate for this loss of formability, a multi-objective optimization method was applied to improve the hydroforming process after pre-bending. A multi-objective genetic algorithm (MOGA) and Kriging surrogate model were used to optimize the loading path. The Kriging model was used to replace the finite element simulation in constraint handling. The optimal loading parameters in the hydroforming process were obtained for a tube that was previously bent 90°, and showed an improvement in reducing the corner radii of the part at the extrados and intrados of the bend (8.73mm and 11.24mm for the extrados and intrados of the bend, respectively). The corresponding corner fill expansion (CFE) was improved by 16.7% (or 1.79mm) compared to the maximum expansion of 10.73mm obtained experimentally. Springer-Verlag France, 2011 Multi-objective Optimization nationallicence MOGA nationallicence Pre-bending nationallicence Hydroforming nationallicence Kriging method nationallicence Forming limit stress diagram nationallicence σ 1 σ 2 : True principal major and minor stresses nationallicence ε 1 ε 2 : True principal major and minor strains nationallicence f 1 f 2, f 3, f 4 : Objectives for forming severity evaluation nationallicence f 5 f 6 : Objectives of corner fill radius nationallicence An Honggang Department of Mechanical Engineering, Oakland University, Rochester, MI, USA aut Green Daniel Department of Mechanical, Automotive and Materials Engineering, University of Windsor, Windsor, ON, Canada aut Johrendt Jennifer Department of Mechanical, Automotive and Materials Engineering, University of Windsor, Windsor, ON, Canada aut Smith Lorenzo Department of Mechanical Engineering, Oakland University, Rochester, MI, USA aut International Journal of Material Forming Springer-Verlag 6/1(2013-03-01), 125-135 1960-6206 6:1<125 2013 6 12289 https://doi.org/10.1007/s12289-011-1079-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12289-011-1079-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- An Honggang Department of Mechanical Engineering, Oakland University, Rochester, MI, USA aut NATIONALLICENCE 700 1- Green Daniel Department of Mechanical, Automotive and Materials Engineering, University of Windsor, Windsor, ON, Canada aut NATIONALLICENCE 700 1- Johrendt Jennifer Department of Mechanical, Automotive and Materials Engineering, University of Windsor, Windsor, ON, Canada aut NATIONALLICENCE 700 1- Smith Lorenzo Department of Mechanical Engineering, Oakland University, Rochester, MI, USA aut NATIONALLICENCE 773 0- International Journal of Material Forming Springer-Verlag 6/1(2013-03-01), 125-135 1960-6206 6:1<125 2013 6 12289 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer