Mathematical model of bead profile in high deposition welds

Abstract Mathematical models of reinforcement and penetration profile in high deposition welds produced by multiple-wire processes are presented. A practical approach for assessment of shape and size of weld bead is introduced wherein characteristic coefficients ( α i ) of parametric equations y  =  f ( α i , x ) are expressed as functions of process parameters such as welding current, speed, and voltage, and they are determined by calibration of model with experimental observations using a heuristic technique. The validity of new model is demonstrated through a case study presentation on twin-wire welding. Compared to a semi-elliptical reinforcement and a cosine/parabolic penetration profiles in single-wire welds, an elliptical segment and a composite trigonometric function, respectively, are found more appropriate to represent multiple-wire welds. The effects of process parameters on bead profile and weld bead dilution for straight and reverse polarities over a wide range of process parameters are evaluated. The developed models explain effect of welding parameters on weld bead shape and weld cooling time, thus, apt for determining dimensions of heat source in modeling of welding processes.

[1]  Alain Bernard,et al.  Weld bead modeling and process optimization in Hybrid Layered Manufacturing , 2011, Comput. Aided Des..

[2]  Lin Wu,et al.  Modeling of bead section profile and overlapping beads with experimental validation for robotic GMAW-based rapid manufacturing , 2013 .

[3]  Abhay Sharma,et al.  Mathematical modeling of flux consumption during twin-wire welding , 2008 .

[4]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[5]  Sung-In Kang,et al.  A study on the estimate of weld bead shape and the compensation of welding parameters by considering weld defects in horizontal fillet welding , 1999, 1999 Third International Conference on Knowledge-Based Intelligent Information Engineering Systems. Proceedings (Cat. No.99TH8410).

[6]  N. Coniglio,et al.  Defining a Critical Weld Dilution to Avoid Solidification Cracking in Aluminum , 2008 .

[7]  J. Tušek,et al.  Mathematical modeling of melting rate in twin-wire welding , 2000 .

[8]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[9]  D. S. Nagesh,et al.  Prediction of weld bead geometry and penetration in shielded metal-arc welding using artificial neural networks , 2002 .

[10]  Saurav Datta,et al.  Modeling and optimization of features of bead geometry including percentage dilution in submerged arc welding using mixture of fresh flux and fused slag , 2008 .

[11]  Abhay Sharma,et al.  Estimation of heat source model parameters for twin-wire submerged arc welding , 2009 .

[12]  D. V. Kiran,et al.  Influence of process variables on weld bead quality in two wire tandem submerged arc welding of HSLA steel , 2012 .