Generalized kinematics of five-axis serial machines with non-singular tool path generation

Yang, Jixiang; Altintaş, Yusuf

doi:10.1016/j.ijmachtools.2013.09.002

Cited by 162 publications

(66 citation statements)

References 28 publications

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“…As presented in Table 2, i,u can be obtained according to (19) for five-axis machine tools with various configurations listed in Group I. The detailed calculation procedure for the machine tool of type ABX is presented as an example in Appendix A, which can be extended to the other types in Group I.…”

Section: General Formula and Common Rules Of Nonlinear Error Due To Rmentioning

confidence: 99%

“…Lee et al [13] developed analytical equations capable of converting cutter location (CL) data and tool orientation vectors into machine control coordinates for the three representative types mentioned above. Several approaches have been proposed for building generic kinematic models that are applicable to all five-axis machine tool structures [14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Nonlinear Error Caused by Motions of Rotation Axes for Five-Axis Machine Tools with Orthogonal Configuration

Geng

Qiu

2018

Mathematical Problems in Engineering

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Since a nonlinear relationship exists between the position coordinates of the rotation axes and components of the tool orientation, the tool will deviate from the required plane, resulting in nonlinear errors and deterioration of machining accuracy. Few attempts have been made to obtain a general formula and common rules for nonlinear error because of the existence of various kinematic structures of machine tools with orthogonal configuration. This paper analyzes the relationship between the deviation of cutter location points and motion of tool orientations. Five-axis CNC machine tools are divided into two groups according to the configuration of the two rotational joints and the home position. Motions of the tool are regarded as a combination of translation and rotation. A model for error calculation is then built. The maximum deviation of the tool with respect to the reference plane generated by the initial and the final orientation is used to quantify the magnitude of the errors. General formulas are derived and common change rules are analyzed. Finally, machining experiment is conducted to validate the theoretical analysis. The research has important implications on the selection of a particular kinematic configuration that may achieve higher accuracy for a specific machining task.

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Section: General Formula and Common Rules Of Nonlinear Error Due To Rmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of Nonlinear Error Caused by Motions of Rotation Axes for Five-Axis Machine Tools with Orthogonal Configuration

Geng

Qiu

2018

Mathematical Problems in Engineering

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show abstract

“…The previously presented, generalized five-axis kinematics module based on screw theory, which gives an explicit solution for both the forward and inverse kinematics model for arbitrary serial machine configurations [30], is used here to derive the Jacobian function. The details of the generalized five-axis module and the screw theory can be found in [30,31], respectively.…”

Section: Generalized Five-axis Jacobian Functionmentioning

confidence: 99%

“…The details of the generalized five-axis module and the screw theory can be found in [30,31], respectively. The basic principles of the generalized kinematics module presented in [30] are briefly summarized here for the purpose of deriving the Jacobian function for five-axis machines. The complimentary formulations of the kinematics module are listed in the Appendix.…”

Section: Generalized Five-axis Jacobian Functionmentioning

confidence: 99%

“…The pre-compensation method can improve the contouring accuracy, provided that the drive models are identified accurately and the cutting force disturbance can be neglected. However, the current contouring error estimation methods need to use both the trajectory as well as the actual positions of the drives [28][29][30]. When both the geometric tool paths and the motion trajectory profiles are defined by high order splines in order to avoid discontinuities, the computational complexity and load become heavy for real time applications.…”

Section: Introductionmentioning

confidence: 99%

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A generalized on-line estimation and control of five-axis contouring errors of CNC machine tools

Yang

Altintaş

2015

International Journal of Machine Tools and Manufacture

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144

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A Generalization Approach for the Kinematic Modelling of the Rotational Axes of Five-Axis CNC Centers

Duong

et al. 2021

Proceedings of the 2nd Annual International Conference on Material, Machines and Methods for Sustainable Development (MMMS2020)

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Generalized kinematics of five-axis serial machines with non-singular tool path generation

Cited by 162 publications

References 28 publications

Analysis of Nonlinear Error Caused by Motions of Rotation Axes for Five-Axis Machine Tools with Orthogonal Configuration

Analysis of Nonlinear Error Caused by Motions of Rotation Axes for Five-Axis Machine Tools with Orthogonal Configuration

A generalized on-line estimation and control of five-axis contouring errors of CNC machine tools

A Generalization Approach for the Kinematic Modelling of the Rotational Axes of Five-Axis CNC Centers

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