Differential geometry modeling and application of roller pose and trajectory of robot roller hemming for complex curved surface-curved edge panels |
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| Affiliation: | 1. State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China;2. Institutes for Robotics and Intelligent Manufacturing, Chinese Academy of Sciences, Shenyang 110169, China;3. School of Mechanical and Electrical Engineering, Shenyang Aerospace University, Shenyang 110136, China;1. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200444, China;2. Department of Mechanical and Mechatronics Engineering, The University of Auckland, Auckland, 1010, New Zealand;3. Department of Aerospace Engineering, Toronto Metropolitan University, Toronto, ON M5B 2K3, Canada;4. Shanghai Key Laboratory of Intelligent Manufacturing and Robotics, Shanghai, 200072, China;1. State Key Laboratory of Tribology in Advanced Equipment, Department of Mechanical Engineering (DME), Tsinghua University, Beijing 100084, China;2. Beijing Key Lab of Precision/Ultra-precision Manufacturing Equipments and Control, Tsinghua University, Beijing 100084, China;3. Yantai Tsingke+ Robot Joint Research Institute Co., Ltd., Yantai 264006, China;1. School of Mechanical Engineering, Shandong University, Jinan 250061, PR China;2. Key Laboratory of High Efficiency and Clean Mechanical Manufacture at Shandong University, Ministry of Education, Jinan 250061, PR China |
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| Abstract: | Roller hemming is a relatively new process used to achieve high-precision assembly of auto-body enclosure panels. During the process of roller hemming, accuracy of the roller pose and trajectory affects the hemming quality of the product. The traditional passive method based on robot teaching to determine the pose of the roller is inefficient and time-consuming. In these studies, we proposed an active method for solving roller pose and trajectory based on differential geometry for curved surface-curved edge geometric characteristics of auto-body enclosure panels and multi-pass reciprocating motions of the roller. Firstly, the local coordinate system of the die was constructed based on the Frenet Frame according to the normal vector of the surface of die and the tangent vector of the curved die edge. Secondly, the coordinate system of the die, diameter of the roller, TCP-RTP value, and inclination of the roller were combined to form the roller pose based on a homogeneous transformation matrix. Based on the obtained trajectory curve of the roller reference point, the equal chord deviation error method was used to analyze the roller trajectory. Finally, a roller pose and trajectory solving algorithm was developed based and implemented using PYTHON to obtain the positions and poses of the roller at several discrete reference points. ABAQUS software was subsequently utilized to complete modeling of the roller pose and trajectory. This research supports the multi-field mechanical simulation of robot roller hemming for curved surface-curved edge panels and provides support for determining roller pose and kinematic trajectory of industrial robot roller hemming for curved surface-curved edge panels. |
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