In order to prove the validity of prediction of penetration depth using Hablanian plot, we have compared experimentally obtained penetration depths with those predicted by Hablanian plot and linear multiple regression analysis. The experimental results with ∼1200 data points were obtained from bead‐on‐plate welding tests by the laser job shop. Stainless steel plates and four types of industrial CW lasers were used in these tests. From linear multiple regression analysis, it was found that dominating factors were laser power, welding speed, and spot diameter. On the other hand, we can predict the penetration depth using the 3th‐degree polynomial fitting curve (standard curve) expressed by Hablanian plot with two dimensionless parameters. The fitting difference between the standard curve and a data point results in the error of prediction. From Hablanian plot, it showed (1) that this fitting difference was dependent on some factors (such as laser power, welding speed, power density, and penetration depth), (2) that the fitting difference was, respectively, negative and positive in the lower and middle welding speed ranges, and (3) that the penetration depth could be precisely predicted by correcting the fitting difference in welding speed from the standard curve compared to the results predicted by linear multiple regression analysis.

中文翻译：

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Hablanian图解法和线性多元回归分析预测激光焊接的熔深

为了证明使用Hablanian图预测渗透深度的有效性，我们将实验获得的渗透深度与Hablanian图和线性多元回归分析预测的深度进行了比较。激光加工车间通过珠焊测试获得了约1200个数据点的实验结果。在这些测试中使用了不锈钢板和四种类型的工业连续波激光器。通过线性多元回归分析，发现主要因素是激光功率，焊接速度和光斑直径。另一方面，我们可以使用具有两个无量纲参数的Hablanian图表示的3次多项式拟合曲线（标准曲线）来预测穿透深度。标准曲线与数据点之间的拟合差异会导致预测误差。