Geometric error modeling and compensation for five-axis CNC gear profile grinding machine tools

Zhou, Bo; Wang, Shilong; Fang, Chenggang; Sun, Shouli; Dai, H.

doi:10.1007/s00170-017-0244-y

Cited by 48 publications

(17 citation statements)

References 21 publications

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“…Multi-body method is a general error modeling method which is widely used in geometric volumetric error modeling [20][21]. The temperature-structure multi-step calculation method presented in this paper is based on this method and the mainly modeling process are as follows:…”

Section: Structure Deformation Simulation and Volumetric Thermal Erromentioning

confidence: 99%

Influence of external heat sources on volumetric thermal errors of precision machine tools

Weng

Gao

et al. 2018

Int J Adv Manuf Technol

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Section: Structure Deformation Simulation and Volumetric Thermal Erromentioning

confidence: 99%

Influence of external heat sources on volumetric thermal errors of precision machine tools

Weng

Gao

et al. 2018

Int J Adv Manuf Technol

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“…A fuzzy controller with two inputs and three outputs is employed, in which error e and differential error ec constitute the two-dimensional inputs, and dkp, dki and dkd are used as the outputs to be added into the PID controller in real time. equation (13) represents the PID parameter addition relations, and the fuzzy control rule is expressed as the fuzzy relation matrix shown in equation (14). In this article, the dynamic adjustment strategy of membership functions is adopted.…”

Section: Pso-optimized Fuzzy Pid Controllermentioning

confidence: 99%

“…The modeling and compensation method for systematic geometric errors were proposed to improve the machining accuracy of multi-axis machine tools. 13 By means of homogeneous coordinate transformation, Wu and Tran, 14 Shih and Chen 15,16 and Fong and Chen 17 constructed the mathematical model of gear machining process and proposed effective and feasible tooth flank topographical modification methods for external gear honing and form grinding. In order to improve the tooth surface quality and accuracy of gear honing, Da Silva et al 18 used particle swarm optimization (PSO) algorithm to select the appropriate process parameters.…”

Section: Introductionmentioning

confidence: 99%

Modeling and adaptive compensation of tooth surface contour error for internal gearing power honing

Han

Zhu

Xia

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part B:

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The machining of high precision gears requires a strict and accurate co-movement relationship controlled by the electronic gearbox between the moving axes of the gear machine tools. This article proposes a tooth surface contour error modeling method and an adaptive electronic gearbox cross-coupling controller for internal gearing power honing. First, the electronic gearbox model is structured according to the generative machining principle of internal gearing power honing and the tooth surface contour error is established by means of homogeneous coordinate transformation and meshing principle. Then, the adaptive electronic gearbox cross-coupling controller is designed, which comprises the electronic gearbox cross-coupling controller and the fuzzy proportional–integral–derivative controllers whose universes of membership functions in fuzzy rules are optimized by particle swarm optimization to improve the adaptability and robustness to disturbance fluctuation and model uncertainty of the system. Finally, experiments are carried out on a self-developed gear numerical control system. The results have demonstrated that the estimated tooth surface contour error using the proposed method is very close to the actual one, and the proposed adaptive electronic gearbox cross-coupling controller can effectively reduce the tracking error and the tooth surface contour error when compared to the electronic gearbox cross-coupling controller and non–electronic gearbox cross-coupling controller (electronic gearbox controller without cross-coupling and adaptive compensation).

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“…Researchers have also focused on the influence of structural design factors on the generation and propagation of motion and measurement errors. For example, for multiaxis precision machines, Zhou et al [21], Guo et al [22], Chen et al [23], and Tian et al [24] established mapping relationships between the main geometric errors on each axis and tool positioning accuracy and achieved system error compensations. Zhang et al [25] and Cheng et al [26] achieved optimal allocation of the geometric tolerances of each motion axis in multi-axis precision machines by analyzing the influence of geometric errors in the main structural parts on tool positioning errors.…”

Section: Introductionmentioning

confidence: 99%

Comprehensive analysis of the influence of structural and dynamic parameters on the accuracy of nano-precision positioning stages

et al. 2019

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Nano-precision positioning stages are characterized by rigid-flexible coupling systems. The complex dynamic characteristics of mechanical structure of a stage, which are determined by structural and dynamic parameters, exert a serious influence on the accuracy of its motion and measurement. Systematic evaluation of such influence is essential for the design and improvement of stages. A systematic approach to modeling the dynamic accuracy of a nano-precision positioning stage is developed in this work by integrating a multi-rigid-body dynamic model of the mechanical system and measurement system models. The influence of structural and dynamic parameters, including aerostatic bearing configurations, motion plane errors, foundation vibrations, and positions of the acting points of driving forces, on dynamic accuracy is investigated by adopting the H-type configured stage as an example. The approach is programmed and integrated into a software framework that supports the dynamic design of nano-precision positioning stages. The software framework is then applied to the design of a nano-precision positioning stage used in a packaging lithography machine.

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Geometric error modeling and compensation for five-axis CNC gear profile grinding machine tools

Cited by 48 publications

References 21 publications

Influence of external heat sources on volumetric thermal errors of precision machine tools

Influence of external heat sources on volumetric thermal errors of precision machine tools

Modeling and adaptive compensation of tooth surface contour error for internal gearing power honing

Comprehensive analysis of the influence of structural and dynamic parameters on the accuracy of nano-precision positioning stages

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