Abstract
The purpose of this study is to apply shape optimization tools for design of resistance welding electrodes. The numerical simulation of the welding process has been performed by a simplified FEM model implemented in COMSOL. The design process is formulated as an optimization problem where the objective is to prolong the life-time of the electrodes. Welding parameters like current, time and electrode shape parameters are selected to be the design variables while constraints are chosen to ensure a high quality of the welding. Surrogate models based on a Kriging approximation has been used in order to simplify the calculation of shape sensitivities and to generate a generic tool that can be interfaced with other simulation tools. An example numerical study shows the potential of applying optimal design techniques in this area.
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References
Bark M, Bandler J, Madsen K, Søndergaard J (2001) An introduction to the space mapping technique. Optim Eng 2:369–384
Lophaven SN, Nielsen HB, Søndergaard J (2002) DACE—a MATLAB Kriging toolbox, version 2.0, 9/2002. Technical report IMM-TR-2002-12
Queipo NV, Haftka RT, Shyy W, Goel T, Vaidyanathan R, Tucker PK (2005) Surrogate-based analysis and optimization. Prog Aerosp Sci 41:1–22
Santos IO, Zhang W, Goncalves VM, Bay N, Martins PAF (2004) Weld bonding of stainless steel. Int J Mach Tools Manuf 44:1431–1439
Svanberg K (1987) The method of moving asymptotes—a new method for structural optimization. Int J Numer Methods Eng 24:359–373
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Bogomolny, M., Bendsøe, M.P. & Hattel, J.H. A shape optimization study for tool design in resistance welding. Struct Multidisc Optim 38, 185–194 (2009). https://doi.org/10.1007/s00158-008-0274-z
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DOI: https://doi.org/10.1007/s00158-008-0274-z