An analytical model and tomographic calculation of vacuum electron beam welding heat source

According to the analysis to the characteristics of welding heat source and thermal effect, a mathematic model of rotary Gaussian body heat source with incremental power-density-distribution was developed, which was in line with the characteristics of heat source during vacuum electron beam welding. The affecting radius of source model decreases progressively with the law of Gaussian function and the power density varies gradually with the law of exponential function in depth direction. The evaluation of peak-power-density coefficient β and the tomographic calculation of the source model in different focused conditions were discussed. The results showed that the focused conditions, which were the deviation of depth of field in electron beam, were dependent on the coefficient β in the source model. Simulation of thermal effect and the analysis of weld formation in vacuum electron beam welding validated the feasibility of the model.