Research on arc-shaped wheel wear and error compensation in arc envelope grinding

  • Shuo Lin
  • ZhenHua Jiang
  • YueHong YinEmail author


Arc envelope grinding method (AEGM) is commonly used for grinding large-aperture mirrors and greatly increases the wheel life and the machining accuracy. As the grinding point shifts on the arc-shaped wheel, a three-axis machine tool is qualified to manufacture aspherical or off-axis surfaces. However, compared with traditional aspherical grinding with a rotary table, grinding process on T3-configuration machine tools is more complicated. The grinding point varies in both latitude and longitude directions on the wheel. In this paper, a new algorithm for wear simulation based on 3D wheel-workpiece contact area is proposed to better understand the wear process in grinding aspherical surface. The resin-bonded diamond wheel was trued by GC (green silicon carbon) wheel. In order to get the grinding ratio, the wear of the wheel profile was measured after grinding a flat SiC-ceramic surface several times. Then, the wheel profile error was compensated first by analyzing the wheel-workpiece contact status. Gaussian process (GP) regression method was used to fit the form error and eliminate both noise and high-frequency waves in the measured data. The residual error was further compensated, and the compensation value was calculated by GP model. The proposed error compensation methods were verified on a three-axis grinder, and RMS value was successfully reduced by 37%.


Arc envelope grinding Error compensation Wheel wear 


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This work was supported by the National Basic Research Program of China (“973” Program) (Grant No. 2011CB013203).


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© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Mechanism System and Vibration, Institute of RoboticsShanghai Jiao Tong UniversityShanghaiChina

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