Volumetric Error Modelling, Measurement, and Compensation for an Integrated Measurement-Processing Machine Tool

Wang, K; Sheng, Xian Jun; Kang, Ren Ke

doi:10.1243/09544062jmes2200

Cited by 16 publications

(16 citation statements)

References 9 publications

(11 reference statements)

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“…Based on the coordinate transformation matrix, any coordinate system can ultimately be transferred to the base. The D-H notation defines the operating theory of the homogeneous transformation matrix (HTM) [21][22][23] to illustrate the relationship between two neighboring coordinate systems. For example, the coordinate systems (XYZ) i and (XYZ) j are independent coordinates that are fixed on different rigid bodies, that is…”

Section: Reference System Definitionmentioning

confidence: 99%

Modeling and calibration of pointing errors using a semi-parametric regression method with applications in inertially stabilized platforms

Hong

Zhou

Zhang

et al. 2013

Proceedings of the Institution of Mechanical Engineers, Part B:

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This article investigates modeling and calibration issues that are associated with inertially stabilized platforms to achieve accurate pointing. In modeling part, the Denavit-Hartenberg notation is used to perform an error analysis of the kinematics of inertially stabilized platforms. A physical model is then established to illustrate the effects of geometric errors that are caused by imprecision in the manufacturing and assembly processes on the pointing accuracy of inertially stabilized platforms. In the calibration part, an improved hybrid model denoted as the semi-parametric regression model is developed to compensate for remaining nonlinear errors. With applications to a two-degree-of-freedom miniature inertially stabilized platform, semi-parametric regression model is shown to outperform physical model substantially in all cases. The experimental results also indicate that the proposed semi-parametric regression model eliminates both the geometric and nonlinear errors, and that the pointing accuracy of miniature inertially stabilized platform significantly improves after compensation.

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Section: Reference System Definitionmentioning

confidence: 99%

Modeling and calibration of pointing errors using a semi-parametric regression method with applications in inertially stabilized platforms

Hong

Zhou

Zhang

et al. 2013

Proceedings of the Institution of Mechanical Engineers, Part B:

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“…8. Error compensation is one of an efficient way to improve accuracy of grinding precision for screw rotors [10]. Thus, error compensation method is used to improve the grinding precision in this work.…”

Section: B Influence Of Tooth Profile Errors Affected By Mounting Anmentioning

confidence: 99%

Error analysis of precision grinding for screw rotors

Wei

Zhang

2011

2011 IEEE International Conference on Mechatronics and Automation

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With increasing demands for high-speed and highprecision machining technology, how to improve the efficiency and precision of the workpiece is an important subject. In this paper, the tooth profile errors of screw rotors induced by manufacturing errors and wears as well as mounting errors of grinding wheel are studied. Mathematical models of the profile errors of screw rotors are established and the influence curves of the tooth profile errors affected by mounting errors and the radius error of grinding wheel are proposed. Error analysis of precision grinding for screw rotors is proposed. The experiment and error compensation for screw rotors are performed. It is helpful for improve grinding accuracy of screw rotors and laid a good foundation for error compensation of precision grinding of screw rotors and other helical surface.

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“…There are two main ways to improve geometric accuracy of machine tools: (1) improve manufacturing and assembly accuracy of working components. (2) Reduce geometric errors through numerical compensation. Both of them should be concerned during the machine tools' design phase.…”

Section: Introductionmentioning

confidence: 99%

An improved geometric error analysis method considering the variety of sensitivities over working space

Liu

Wang

Qiu

et al. 2018

Advances in Mechanical Engineering

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Machine tool accuracy analysis has become increasingly important since accuracy as the major parameter of a machine is to a large extent determined by geometric accuracy design. In order to improve the comprehensiveness and veracity of geometric accuracy design, this article proposes an improved geometric error analysis method considering the variety of sensitivities over working space. A multi-rigid-body model which includes cutting tool's wear-out error and workpiece's clamping error is established to represent the position relationship of machine tool's working components. The expression of geometric error is converted from matrix form to screw form through the screw mapping theory, so that rotational error can be expressed and calculated directly like the translational error. Considering motion errors along axes over the whole working space instead of at a fixed position, an improved sensitivity analysis algorithm is conducted to identify, among 38 components of errors increased the variety with tool wear and clamping errors, which of them have a significant impact on four different types of machine errors. Finally, the proposed method was implemented and validated on a horizontal boring machine, and the sensitivity analysis results over working space would offer vital evidence for the machine's geometric accuracy design. KeywordsGeometric error analysis, sensitivity over working space, clamping error of workpiece, tool wear-out error, screw theory Date

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Volumetric Error Modelling, Measurement, and Compensation for an Integrated Measurement-Processing Machine Tool

Cited by 16 publications

References 9 publications

Modeling and calibration of pointing errors using a semi-parametric regression method with applications in inertially stabilized platforms

Modeling and calibration of pointing errors using a semi-parametric regression method with applications in inertially stabilized platforms

Error analysis of precision grinding for screw rotors

An improved geometric error analysis method considering the variety of sensitivities over working space

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