Title: Calibration of laser welding model based on optimization techniques
Authors: Petrášová, Iveta
Kotlan, Václav
Šroubová, Lenka
Karban, Pavel
Doležel, Ivo
Citation: PETRÁŠOVÁ, I., KOTLAN, V., ŠROUBOVÁ, L., KARBAN, P., DOLEŽEL, I. Calibration of laser welding model based on optimization techniques. Compel-the International journal for computation and mathematics in electrical and electronic engineering, 2019, roč. 39, č. 1, s. 43-52. ISSN 0332-1649.
Issue Date: 2019
Publisher: Emerald
Document type: článek
article
URI: 2-s2.0-85076153675
http://hdl.handle.net/11025/39618
ISSN: 0332-1649
Keywords in different language: inverse problems;optimal control;finite element method;partial differential equations;design optimization methodology
Abstract in different language: Purpose – The purpose of this paper is to present the calibration of a laser welding model suitable for solving problems with input data that are either unknown or known only approximately. Design/methodology/approach – The calibration starts from the measured temperature profile of the weld, and the aim is to get a similar profile by the solution of the model. The corresponding procedure is based on replacing the material characteristics that are known only approximately by polynomial or rational functions whose coefficients are determined using a suitable optimization process. The algorithm is supplemented with a simplified model of the keyhole shape. Findings – The big advantage of the proposed approach is the velocity of solution of the problem and low consumption of the sources (hardware and software). In comparison with solving the full model of laser welding, the methodology provides results of a still acceptable accuracy by several orders faster. On the other hand, the results also depend on the strategy of selecting the points at which the temperature is verified and on “manual” setting of the deformation parameters. Research limitations/implications – Application of the methodology is conditioned by several experiments with the used material (without experiment it is impossible to carry out the calibration and set the shape of the keyhole), while the full model allows it. On the other hand, the full model is not able to predict the errors in the case when some input data is unknown or known only approximately and the results have to be also confirmed experimentally. Practical implications – The presented methodology may be used for determining unknown material characteristics and faster modelling of laser welding. Originality/value – This paper proposes a novel methodology for evaluation of quality of laser welds in cases of unknown or partially unknown material parameters and substantial acceleration (by 2-3 orders) of the numerical solution of the model of laser welding.
Rights: Plný text je přístupný v rámci univerzity přihlášeným uživatelům.
© Emerald
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