Problems of welding in shipbuilding - the hybride an analytic - numerical method for assessment of the thermal cycle under welding. Part III: the estimation of the thermal cycle under pulsed power welding

• Autorzy: Ranatowski E.
• Języki publikacji: EN

Abstrakty

EN

The non-linear analytic-numerical method are adopted for the estimation of the thermal cycle under Pulsed Power Welding (PPW). The following heat source models are used in this study: cylindrical-involution-normal (C-I-N) and double-ellipsoidal (D-E). At first the temperature fields generated by heat fields generated by heat sources with pulsed power in both stationary and moving co-ordinates systems are established. In order to execute computer calculations with temperature dependet physical parameters: lambda(T), cp(T), p(T) and pulsed heat input q(t), the algebraic expression will be transformed. For this purpose we will use calculations in Mathcad programme. The information of main- and subprocedures: Stab_time, last, calculations of roots ri, lambda(T), alpha(T) and q(t) are presented. Finally, some examples of calculation by used the hybride method are presented.

PL

Zastosowano nieliniową metodę analityczno-numeryczną do ustalenia cyklu cieplnego podczas spawania impulsowego. Do analizy użyto następujące modele źródeł ciepła (C-I-N) oraz (D-E). Na początku ustalono pola temperaturowe w układzie stacjonarnego i ruchomego układu współrzędnych. W celu umożliwienia wykonania obliczeń numerycznych o charakterze nieliniowym ustalono algebraiczne wyrażenia parametrów lambda(T), ccp(T), alfa(T) oraz q(t). Obliczenia pól temperatur wykonano przy użyciu programu Mathcad. W celu realizacji obliczeń określono procedury główne i podprocedury: Stab_time, last, obliczenia ri, lambda(T), alfa(T) i q(t). Pracę kończą przykłady obliczeniowe.

• Wydawca: Polish Academy of Sciences - Branch in Gdańsk Marine Technology Committee of the Polish Academy of Sciences
• Czasopismo: Marine Technology Transactions. Technika Morska
• Rocznik: 2005
• Tom: Vol. 16
• Strony: 181--194
• Opis fizyczny: Bibliogr. 8 poz., rys., tab.

Twórcy

autor

Ranatowski E.

• Technical University, Mechanical Department St. Prof. S. Kaliskiego 7, 85-763 Bydgoszcz, Poland

Bibliografia

• [1] Ranatowski E., Poćwiardowski A., An-analytic-numerical estimation of the thermal cycle during welding with various heat source model application, Mathematical Modelling of Weld Phenomena 5, H. Cerjak (ed.), The Institute of Materials, London 2001.
• [2] Mathcad-User 's Guide, MathSoft, inc. Cambridge, MA02142. USA, 2001.
• [3] Goldak J. et al., A new finite element model for welding heat sources, Metal. Trans. B, 1984, 299-305.
• [4] Wei P. S., Shian M. D., Three-dimensional analytical temperaturę field around the welding cavity produced by a moving distributed high-intensity beam, Journal of Heat Transfer, 1993, 115, 848-856.
• (5) Karkhin V. A., Michailov V. G., Akatsevich V. D., Modelling The Thermal Be-haviour of Weld and Heat Affected Zone During Pulsed Power Welding, Mathe-matical Modelling of Weld Phenomena 6, H. Cerjak (ed.), The Institute of Materials, London 1998.
• [6] Benker H., Practical use of Mathcad: Sohing of Mathematical Problems, Springer-Verlag, Berlin-Heidelberg 1999.
• [7] Ranatowski E., Poćwiardowski A., An-analytic-numerical evaluation of the thermal cycle in the HAZ during welding, Mathematical Modelling of Weld Phenom¬ena 4, H. Cerjak (ed.), The Institute of Materials, London 1998.
• [8] Ranatowski E., Poćwiardowski A., An analytic-numerical assessment of the thermal cycle in HAZ with three dimensional heat source models and pulsed power welding, Mathematical Modelling of Weld Phenomena 7, H. Cerjak, H.K.D.H. Badeshia, E. Kozeschnik. Yerlag der TU Graz. ISBN: 3-90135 l-99-X. 2004.