基于响应面法设计方法，进行Nd：YAG激光-熔化极活性气体保护焊(Metal active gas welding, MAG)复合焊高氮钢的平板堆焊试验，获得焊缝熔深、熔宽、余高数据，采用逐步回归法筛选出对焊缝形貌影响显著的因子，建立多元非线性数学回归模型，通过方差分析和回归分析得出该回归模型的R2分别如下：熔深H为0.932，熔宽W为0.915，余高A为0.910，P>F值均小于0.001。模型分析结果表明激光功率、焊接电流、电弧电压和热源间距四个因素的主效应和交互作用对焊缝形貌有着很大的影响，其中对熔深影响最大的主效应是激光功率，交互效应是激光功率与电弧电压；对熔宽影响最大的主效应是焊接电流和电弧电压，交互效应是焊接电流与热源间距、电弧电压与热源间距和激光功率与电弧电压；对余高影响最大的主效应是焊接电流，交互效应是电弧电压与热源间距。试验验证结果表明模拟结果和试验结果相吻合。

The experiments is designed based on the response surface method, implemented by bead-on-plate welding with laser Nd: YAG-metal active gas welding(MAG) hybrid welding,and using obtained beam appearance data and filtering out significant factors by stepwise regression method to establish multiple nonlinear mathematical regression model. By analysis of variance and regression analysis showed that R2 the regression model are 0.932, 0.915 and 0.910, P>F<0.001, respectively. The weld bead geometry was affected by the laser power, welding current, arc voltage and distance between two sources and these factors’ interaction. The main effect on penetration is the laser power, while the interactive effect is laser power and arc voltage; the main effect on the weld width is welding current and arc voltage, while the interactive effect is welding current and distance between two sources, arc voltage and distance between two sources, laser power and arc voltage; the main effect on the reinforcement is welding current, while the interactive effect is arc voltage and distance between two sources. The results show the simulating results are consistent with the measured results.