Abstract
Multi-beam laser welding is an advanced welding technique which can successfully prevent hot cracking, cf. [3], [4]. In order to guarantee that this technique prevents the initiation of hot cracks in the solid-liquid region, it is important to choose the positions, sizes, and powers of the additional heat sources suitably, e.g. optimally if an appropriate objective function can be established. In case of inappropriate choices for these parameters, hot cracking can even be enhanced. Until now these quantities are generally chosen by trial and error. This paper aims towards the simulation and optimization of multi-beam laser welding in order to demonstrate the potential of numerical optimization for the further improvement of this welding technique.
For this purpose a constrained nonlinear programming problem is formulated which provides a solution for the hot cracking problem by minimizing the accumulated transverse strain, i.e. the opening displacement, in the solid-liquid region. This approach is based on the so-called strip expansion technique, cf. [6]. For the objective function investigated in this paper it is sufficient to take into account a stationary temperature field in a moving reference frame. It is described by a partial differential equation for which it is possible to find a semi-analytical solution in terms of Bessel functions. Their computation is very time consuming and should be performed in parallel. If an optimization of the process is desired the amount of computation increases even more. This is due to the fact that, in addition to the solution of the partial differential equation, certain sensitivities must be computed in each loop of the optimization iteration, i.e., partial derivatives of the simulation output with respect to the optimization parameters.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Akesson, B., Karlsson, L.: Prevention of Hot Cracking of Butt Welds in Steel Panels by Controlled Additional Heating of the Panels. Welding Research International, 6(5), 35–52 (1976)
Herold, H., Streitenberger, M., Pchennikov, A., Makarov, E.: Modelling of one sided welding to describe hot cracking at the end of longer Butt weld seams. Welding in the World, 43(2), 56–64 (1999)
Ploshikhin, V., Prikhodovsky, A., Makhutin, M., Zoch, H.-W., Heimerdinger, C, Palm, F.: Multi-beam welding: advanced technique for crack-free laser welding. Proc. 4th Int. Conf., “LANE-Laser Assisted Net Shape Engineering-2004”, Erlangen (Sept. 2004), to be published
Ploshikhin, V., Prikhodovsky, A., Zoch, H.-W.: Technologische Maßnahmen zur Vermeidung der Heißrissbildung beim Schweißen von Aluminiumlegierungen, Schweißen und Löten im Luft-und Raumfahrzeugbau. DVS-Verlag, Düsseldorf (2004), p. 46–51
Plochikhine, V., Prikhodovsky, A., Zoch, H.-W.: Zum Mechanismus der Heißrissbildung beim Schweißen von Al-Legierungen. HTM, 58(6), 357–362 (2003)
Plochikhine, V., Zoch, H.-W., Karkhin, V.A., Makhutin, M., Pesch, H.J.: Numerical optimisation of the temperature field for the prevention of solidification cracking during laser beam welding using the multi-beam technique. Proc. of Int. Conf., “Materials Week 2002”, Munich (2002)
Rykalin, N.N.: Berechnung der Wäxmevorgänge beim Schweißen. VEB Verlag Technik, Berlin (1957)
Spellucci P.: DONLP2 USERS GUIDE. Technische Universität Darmstadt
Shumilin, V.G., Karkhin, V.A., Rakhman, M.I., Gatovsky, K.M.: A Technique of Arc Welding. Patent No. 1109280, USSR (1980)
NIST Guide to Available Mathematical Software (GAMS), http://gams.nist.gov/serve.cgi/Module/SPECFUN/K0/9271/, 31.10.2003
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Petzet, V. et al. (2005). OPTILAS: Numerical Optimization as a Key Tool for the Improvement of Advanced Multi-Beam Laser Welding Techniques. In: Bode, A., Durst, F. (eds) High Performance Computing in Science and Engineering, Garching 2004. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28555-5_14
Download citation
DOI: https://doi.org/10.1007/3-540-28555-5_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26145-2
Online ISBN: 978-3-540-28555-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)