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摘要
Purpose: This paper proposes an analytical method of evaluating the maximum error by modeling the exact toolpath when the tool traverses singular region in five-axis machining.Design/methodology/approach: It is known that the Numerical Control (NC) data obtained from the inversekinematic transformation can generate singular positions, which have incoherent movements on the rotary axes.Such movements cause unexpected errors and abrupt operations, resulting in scoring on the machined surface.To resolve this problem, previous methods have calculated several tool positions during a singular operation,using inverse kinematic equations to predict tool trajectory and approximate the maximum error. This type ofnumerical approach, configuring the tool trajectory, requires a lot of computational time to obtain a sufficientnumber of tool positions in the singular region. We have derived an analytical equation for the tool trajectoryin the singular area by modeling the tool operation, by considering linear and nonlinear parts that are a generalform of the tool trajectory in the singular area and that are suitable for all types of five-axis machine tools. Inaddition, evaluation of the maximum tool-path error shows high accuracy, using our analytical model.Findings: : In this study, we have separated the linear components of the tool trajectory from the nonlinear ones,to propose a tool trajectory model that is applicable to any kind of 5-axis machine. We have also proposed amethod to calculate the maximum deviation error based on the proposed tool trajectory model.Practical implications: The algorithms proposed in this work can be used for evaluating NC data and forlinearization of NC data with singularity.Originality/value: Our algorithm can be used to modify NC data, making the operation smoother and reducingany errors within tolerance.
- 出版日期2008
