Laser forming is a powerful tool for fabricating complicated shapes economically. The pattern of laser movement (irradiating scheme) has an essential effect on the shaped form. In this article, the forming of a saddle-shaped surface will be investigated experimentally by the laser forming process. A spiral irradiating scheme is implemented to manufacture a saddle-shaped surface. The main idea of this study is the investigation of the simultaneous variations of the process parameters and their effect on the curvature of the final part. The process parameters of the study are the spiral pitch, number of spiral passes, and movement pattern (In-to-Out or reversely Out-to-In scanning path). The response surface methodology is selected for experimentation. The measurement of the deformation results shows that the deformations of laser-formed saddle-shaped surfaces decrease with an increase in the spiral pitch of the path. Additionally, the deformations of the saddle-shaped surface increase by increasing the number of spiral passes. The results demonstrate that the pattern movement has little effect on the deformations of laser-formed saddle-shaped surfaces and an Out-to-In spiral pattern movement is advised. At last, the proper input variables to obtain the maximum value of displacements for the saddle point are determined (10 mm spiral pitch, three spiral passes, and Out-to-In pattern movement).

中文翻译：

---

通过激光成形工艺制造鞍形表面的实验和统计研究

激光成型是经济地制造复杂形状的有力工具。激光运动的方式（照射方案）对成形后的形状起着至关重要的作用。在本文中，将通过激光成型工艺对鞍形表面的形成进行实验研究。实施螺旋照射方案以制造鞍形表面。这项研究的主要思想是研究工艺参数的同时变化及其对最终零件曲率的影响。研究的过程参数是螺旋螺距，螺旋通过次数和运动方式（从内到外或反向从外到内扫描路径）。选择响应面方法进行实验。变形结果的测量表明，激光成形的鞍形表面的变形随着路径的螺旋螺距的增加而减小。另外，通过增加螺旋通过的次数，鞍形表面的变形增加。结果表明，图案运动对激光形成的鞍形表面的变形影响很小，建议采用从外到内的螺旋图案运动。最后，确定适当的输入变量，以获取鞍点位移的最大值（10毫米螺距，三个螺距和从外到内的花样运动）。结果表明，图案运动对激光形成的鞍形表面的变形影响很小，建议采用从外到内的螺旋图案运动。最后，确定适当的输入变量，以获取鞍点位移的最大值（10毫米螺距，三个螺距和从外到内的花样运动）。结果表明，图案运动对激光形成的鞍形表面的变形影响很小，建议采用从外到内的螺旋图案运动。最后，确定适当的输入变量，以获取鞍点位移的最大值（10毫米螺距，三个螺距和从外到内的花样运动）。