SYNTHESIS AND MATHEMATICAL MODELING OF A COMPOSITE HEAT SOURCE MODEL RELATED TO THE MIG/MAG WELDING PROCESS WITH TORCH OSCILLATIONS

V.V. Dolynenko, E.V. Shapovalov

Èlektron. model. 2024, 46(6):97-108

https://doi.org/10.15407/emodel.46.06.097

ABSTRACT

The paper presents the synthesis and mathematical modeling in the Mathcad environment of a composite heat source model simulating an arc heat source during electric arc surfacing with transverse oscillations of the torch. The model is a superposition of three double-elliptical Goldak heat source models. The distinctive feature of this model is that the output function is implemented using logical operators, which makes it possible to implement a functional transformation similar to the symmetric difference operation in set theory. This ensures the exclusion of areas overlapped by adjacent heat sources from the total heat flow. The modeling was performed for three cases of transverse oscillations of the torch: sinusoidal, triangular and rectangular. The modeling results can be useful for specialists in the field of finite element modeling of electric arc surfacing processes, as well as in the development of WAAM technology.

KEYWORDS

Goldak double elliptical heat source model, electric arc welding, transverse torch oscillations, composite heat source model.

REFERENCES

  1. Goldak J.A., Akhlaghi Mehdi. Computational Welding Mechanics. Springer, 2005. 323 p.
  2. Lundbäck A. Finite Element Modelling and Simulation of Welding of Aerospace Components. Luleå University of technology: Department of Applied Physics and Mechanical Engineering-Division of Computer Aided Design, 2003. 50 p.
  3. Trupiano S., Belardi V.G., Fanelli P., Gaetani L., Vivido F. A semi-analytical method for the calculation of double-ellipsoidal heat source parameters in welding simulation. IOP Conf. Series: Materials Science and Engineering, Vol. 1214, 2022. P. 1—11.
    https://doi.org/10.1088/1757-899X/1214/1/012023
  4. Долиненко В.В., Коляда В.А., Шаповалов Е.В., Скуба Т.Г. Конечно-элементное моделирование проплавления при сварке МИГ/МАГ корневого шва. Электрометаллургия. Москва. 2016. №9. С. 10—19.
  5. Goldak heat input model for Welding and Additive Manufacturing process. Hyper Lyceum. URL: https://www.youtube.com/watch?v=G1wsgnay8kA (date of access: 028.08.2024).

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