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A helical interpolation precision truing and error compensation for arc-shaped diamond grinding wheel

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Abstract

In the grinding of aspherical optical surface, an arc-shaped diamond grinding wheel is generally employed, whereas its profile errors greatly influence the form accuracy of ground workpiece. A high efficiency helical interpolation precision truing method for the arc-shaped diamond grinding wheel is proposed in this paper. Helical interpolation trajectory and decreasing interpolation radius with the wear of a rotary truing wheel ensure a constant contact length and a uniform wear of the diamond grinding wheel and truer. The mathematical models of tool setting errors and measurement error of truer diameter in the truing process were established firstly. The prediction models considering the wear of truer are coincided well with the truing experiment results. Based on the mathematical error models, an error compensation truing process was proposed. The profile accuracy of an arc-shaped diamond grinding wheel was improved to 5 μm (PV) effectively by the error compensation truing process. An ellipsoidal surface of a fused silica workpiece was ground by the well-trued diamond grinding wheel. A form error (in PV) below 4.5 μm was obtained after precision grinding.

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Funding

This work was supported by National Key R&D Program of China (Grant No. 2017YFB1301903), National Natural Science Foundation of China (No. 51875321) Shandong Province Natural Science Foundation (Grant No. ZR2018MEE019), Key Laboratory of Optical System Advanced Manufacturing Technology (Grant No. Y6SY1FJ160).

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Authors and Affiliations

  1. Center for Advanced Jet Engineering Technologies (CaJET), School of Mechanical Engineering, Shandong University, Jinan, 250061, Shandong, China

    Jiahao Zhu, Peng Yao, Chuanzhen Huang, Hongtao Zhu, Bin Zou & Hanlian Liu

  2. Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Ministry of Education, PR China, Jinan, 250061, Shandong, China

    Jiahao Zhu, Peng Yao, Chuanzhen Huang, Hongtao Zhu, Bin Zou & Hanlian Liu

  3. College of Mechanical and Electronic Engineering, China University of Petroleum (East China), Qingdao, 266580, Shandong, China

    Wei Wang

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  1. Jiahao Zhu
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  2. Peng Yao
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  3. Wei Wang
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  4. Chuanzhen Huang
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  5. Hongtao Zhu
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  6. Bin Zou
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  7. Hanlian Liu
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Correspondence to Peng Yao or Wei Wang.

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Zhu, J., Yao, P., Wang, W. et al. A helical interpolation precision truing and error compensation for arc-shaped diamond grinding wheel. Int J Adv Manuf Technol 100, 167–177 (2019). https://doi.org/10.1007/s00170-018-2716-0

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  • DOI: https://doi.org/10.1007/s00170-018-2716-0

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