RETRACTED: Study on Mathematical Modeling of the 3-D Butt joint for Laser Welding (Retracted Article)

In order to realize precise laser welding of the aerospace thin sheet parts, it is necessary to model the 3-D butt joint accurately. Due to narrow seam gap and little misalignment of the butt joint, it is difficult to extract all the feature information such as 3-D seam position, surface normal and gap width in a lump by traditional methods or sensors. Furthermore, these feature information acquired by laser vision sensor are just expressed in local measuring coordinate system, which can't be used for global modeling directly. In this paper, a mathematical modeling method based on the kinematic model of the laser welding & measuring machine tool was proposed. The machine tool's form-shaping function matrix was derived according to the homogeneous coordinate transformation matrix and the kinematic parameters. By using this form-shaping function matrix, the measured data could be converted into global data stably and accurately. Through B-spline surface fitting, the 3-D butt joint's mathematical model including all the feature information was established. Experimental results demonstrate the effectiveness of the proposed method. (C) 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of the Organizers of 2011 International Conference on Energy and Environmental Science.