Five-axis flank milling tool positioning method based on spiral contact line
A tool positioning method based on spiral contact line is proposed to address the problem of mutual interference between tool and design surface during five-axis flank milling of undevelopable ruled surfaces.Firstly,an analytical error model under a single tool position was established based on the Z-buffer method to evaluate the advantages and disadvantages of the tool positioning method.Secondly,a mathematical model of the tool axis vector was constructed based on the torsional characteristics of the undevelopable ruled surfaces,and the properties and parametric expressions of the tool-workpiece contact line were analyzed.Thirdly,considering the non-linear machining errors in actual machining,the path interpolation optimization for the global tool position was carried out by kinematics transformation.Finally,the simulation analysis was conducted based on the improved two-point offset method,the least square method and the proposed method,and the errors generated by the three methods were compared,with the latter two methods being used for experimental verification.The simulation and experimental results show that the proposed method can effectively reduce the principle error in flank milling,which can provide a certain reference for five-axis flank milling of undevelopable ruled surfaces.