Multi-objective calibration of the double-ellipsoid heat source model for GMAW process simulation

Abstract

The scope of application of simulation models in welding is limited by the accuracy of their output results. This paper presents a calibration procedure for a three-dimensional quasi-stationary model of heat transfer for gas metal arc welding. The double-ellipsoid heat source used in this model has five input parameters whose value cannot be specified accurately. To estimate these values, we employed a multi-objective calibration procedure with two objective functions using the paretosearch optimization algorithm. Objective functions represented the error between simulated and experimentally observed values of penetration depth and weld bead width during gas metal arc welding of P355GH steel plates. All input parameters were assumed to be a power function of line energy. To reduce computational time, we replaced the numerical model with a response surface methodology metamodel based on an optimal set of simulation results from the numerical model. The results of the simulations based on calculated values of input parameters for the heat source model showed excellent matching with the experimental results.

Failure Analysis for Molten Salt Thermal Energy Storage Tanks for In-Service CSP Plants

“…The heat source equations are presented in Equations 29, 30, and 31 [58]: where 𝑞𝑞 𝑒𝑒 and 𝑞𝑞 𝑟𝑟 are the front and rear of the heat flux at a point (𝑥𝑥, 𝑦𝑦, 𝑧𝑧) in the ellipsoid, respectively; 𝑎𝑎, 𝑏𝑏, and 𝑐𝑐 are the three semi-axes of ellipsoid; 𝑓𝑓 𝑒𝑒 and 𝑓𝑓 𝑟𝑟 are the heat distribution between the front and rear ellipsoid, respectively, the sum of which is equal to 2; 𝑄𝑄 is the total heat of welding; 𝑈𝑈 is voltage; 𝐼𝐼 is current; and 𝜂𝜂 is arc efficiency.…”

Effectiveness of Nonuniform Heat Generation (Sink) and Thermal Characterization of a Carreau Fluid Flowing across a Nonlinear Elongating Cylinder: A Numerical Study

“…Aslam and Sahoo 32 investigated a moving HSM for one objective deposited slight strengthen repair drip. For gas metal arc welding, Bjeli et al 33 developed calibration of a three-dimensional quasi-stationary heat transfer prototype. The five input parameters of the double-ellipsoid heat source employed in this model cannot be precisely determined.…”