• Vladimir Petrovich Sidorov Togliatti State University
  • Anna Viktorovna Melzitdinova Togliatti State University
Keywords: surfacing, penetration, spot diameter, welding arc


The modern software systems simulating the welding process do not cover all its specific features. For example, they are too cumbersome to be applied in the penetration automatic regulation according to the mathematical model. For this purpose, the authors proposed using a mathematical model of heat distribution within the parts from a normal circular heat source acting on the flat layer surface. The coefficients of such a model should be determined by the experiments close to the data of a problem to be solved (the reduction method). The paper presents the results of hanging surfacing of spots on the 12H18N10T high-alloy steel plate of 4 mm thick. To record in time the welding arc current in argon medium with the non-consumable electrodes, the authors used the recorder. The relative deviations of the spots’ diameters from the average value were checked for the compliance with the normal distribution law. It is determined that the deviations of the spots’ shape from the circle do not meet this law. The average diameters of the obtained spots were used to predict the penetration depth, which was determined by macrosections with the 20 amplification. In this case, the authors used several values of axial heat flux of the heat source: 2800, 3500 and 4200 W/cm2. The values of thermal diffusivity were taken from literature data averaged a=0.04 cm2/s. Using the diameters of spots, the effective power of the welding arc and the specific effective power per 1A of welding current were calculated. The penetration of the spots was calculated using the average power density. The best convergence of calculated and experimental data was obtained at the axial heat flux of 2800 W/cm2; it averages about 5 % in absolute value. Similar results were obtained when predicting the diameters of spots using penetration depth. Thus, the authors developed the technique for determining three coefficients of the model to apply them for the welding process automatic control.

Author Biographies

Vladimir Petrovich Sidorov, Togliatti State University

Doctor of Sciences (Engineering), Professor, professor of Chair “Welding, Metal Forming and Associated Processes”

Anna Viktorovna Melzitdinova, Togliatti State University

master, senior lecturer of Chair “Welding, Metal Forming and Associated Processes”


Ghosh A., Chattopadhyay H. Mathematical modeling of moving heat source shape for submerged arc welding process. International journal of advanced manufacturing technology, 2013, vol. 69, no. 9-12, pp. 2691–2701.

Bychkov V.M., Nikiforov R.V. Computer modeling of localised heat treatment of girth welds. Journal of Engeneering Science and Technology Reviev, 2015, vol. 8, no. 6, pp. 54–56.

Olshanskaya T.V., Salomatova E.S., Trushnikov D.N. Simulation of thermal processes at electron-beam welding witch beam splitting. Global Journal of Pure and Applied Mathematics, 2016, vol. 12, no. 4, pp. 3525–3534.

Melyukov V.V., Kozlov V.A., Tarabukin D.A., Chernov A.M. Determination of welding parameters by the inverse problem method. Svarka i diagnostika, 2014, no. 3, pp. 29–31.

Kiselev A.S., Gordynets A.S. The influence of mode parameters on the spatial stability of arc when welding aluminum alloys with a non-consumable electrode in argon medium. Vestnik nauki Sibiri, 2013, no. 4, pp. 61–66.

Petrov P.Yu. The Identification of Dependence of Weld Convexity Form on Parameters of Welding Conditions. Intellektualnye sistemy v proizvodstve, 2018, vol. 16, no. 1, pp. 58–66.

Karkhin V.A. Teplovye protsessy pri svarke [Thermal processes during welding]. Sankt Petersburg, Politekhn. un-t Publ., 2015. 572 p.

Sidorov V.P., Khurin S.A. Dvukhdugovaya dvustoronnyaya svarka neplavyashchimisya elektrodami v argone [Two-arc two-sided welding with non-consumable electrodes in argon]. Togliatti, TltSU Publ., 2015. 191 p.

Sidorov V.P., Melzitdinova A.V. The admissible deviations of parameters of arc indirect welding. Svarka i diagnostika, 2016, no. 3, pp. 49–52.

Sidorov V.P., Melsitdinova A.V. Determination of permissible deviations of the two-sided arc welding conditions. Welding International, 2016, vol. 31, no. 3, pp. 221–224.

Tsvelev R.V. The evaluation of accuracy of temperature field simulation at the submerged welding based on equivalent heat source. Svarochnoe proizvodstvo, 2013, no. 6, pp. 11–15.

Shakhmatov M.V., Yakovlev D.S. Simulation of thermal processes during the multiarc welding. Svarka i diagnostika, 2015, no. 2, pp. 49–53.

Kazakov Yu.V., Potekhin V.P., Kuvshinova N.N. Temperature field at exothermic welding of casting defects. Svarka i diagnostika, 2016, no. 1, pp. 31–33.

SSDTs.683152.001RE. Rukovodstvo po ekspluatatsii apparatno-programmnogo kompleksa dlya registratsii protsessov dugovoy svarki pri attestatsii v svarochnom proizvodstve [User manual for hardware and software complex for registration of the arc welding processes during standardization in welding engineering]. Togliatti, SSSTs Delta Publ., 2016. 78 p.

Zakharov Yu.V. Matematicheskoe modelirovanie tekhnologicheskikh sistem [Mathematical modeling of technological systems]. Yoshkar-Ola, PGTU Publ., 2015. 84 p.

Savinov A.V., Polesskiy O.A., Lapin I.E., Lysak V.I., Chudin A.A., Krasikov P.P. Penetrating power of alternating current arc with a rectangular pulse shape. Izvestiya Volgogradskogo gosudarstvennogo tekhnicheskogo universiteta, 2016, no. 2, pp. 135–141.

Parshin S.G. Nanostrukturirovannye i aktiviruyushchie materialy dlya dugovoy svarki [Nanostructured and activating materials for arc welding]. Sankt Petersburg, Politekhn. un-t Publ., 2013. 624 p.

Melyukov V.V., Maksimov A.E. The control of thermal process of crystallization in welding pool. Svarka i kontrol – 2018: sbornik trudov Mezhdunarodnoy nauchno-tekhnicheskoy konferentsii. Perm, PNIPU Publ., 2018, pp. 207–215.

Gladkov E.A., Brodyagin V.N., Perkovskiy R.A. Avtomatizatsiya svarochnykh protsessov [Automation of welding processes]. Moscow, MGTU im. N.E. Baumana Publ., 2014. 421 p.

Sidorov V.P., Melzitdinova A.V. Sposob avtomaticheskogo regulirovaniya glubiny proplavleniya pri avtomaticheskoy dugovoy svarke [The method of automatic control of penetration during automatic arc welding], patent RF no. 2613255, 2017.

Smirnov I.V. Spatial-parametric control of heat input during arc welding. Svarka i diagnostika, 2013, no. 4, pp. 10–13.

Technical Sciences