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弧齿锥齿轮加工机床齿面偏差的敏感性分析与补偿

Sensitivity analysis and compensation for tooth surface deviation of spiral bevel gear machine tool.

作者信息

Yang Jianjun, Si Linlin, Li Jubo, Xin Wen, Zhao Bo, Wei Bingyang

机构信息

Electromechanical College, Henan University of Science and Technology, Luoyang, 471000, Henan, China.

Longmen Laboratory, Luoyang, 471000, Henan, China.

出版信息

Sci Rep. 2024 Sep 30;14(1):22736. doi: 10.1038/s41598-024-73509-2.

DOI:10.1038/s41598-024-73509-2
PMID:39349672
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11442633/
Abstract

To analyze the quantitative mapping relationship between the geometric errors of the five-axis CNC machine tool and the tooth surface deviation of spiral bevel gears, and identify the key geometric errors that affect the machining deviation of the spiral bevel gear tooth surface, a sensitivity analysis method for tooth surface machining deviation of spiral bevel gear based on screw theory and EFAST method is proposed. Firstly, the machining model of the spiral bevel gear tooth surface based on the five-axis CNC machine tool is established. Then, the geometric error transfer model of the machine tool is established based on the screw theory. Combined with the EFAST global sensitivity analysis method, the key geometric errors that affect tooth surface deviation are identified. Finally, the reliability and effectiveness tests are performed by comparing the results to the local sensitivity analysis method and simulating compensation for the key geometric errors. The result of compensation shows that the tooth surface deviation is reduced significantly according to global sensitivity analysis. The feasibility of applying sensitivity analysis to control the tooth surface deviation of spiral bevel gears has been demonstrated.

摘要

为分析五轴数控机床几何误差与螺旋锥齿轮齿面偏差之间的定量映射关系，识别影响螺旋锥齿轮齿面加工偏差的关键几何误差，提出一种基于螺旋理论和EFAST方法的螺旋锥齿轮齿面加工偏差灵敏度分析方法。首先，建立基于五轴数控机床的螺旋锥齿轮齿面加工模型。然后，基于螺旋理论建立机床几何误差传递模型。结合EFAST全局灵敏度分析方法，识别影响齿面偏差的关键几何误差。最后，通过与局部灵敏度分析方法的结果进行比较并对关键几何误差进行模拟补偿，进行可靠性和有效性测试。补偿结果表明，根据全局灵敏度分析，齿面偏差显著降低。证明了应用灵敏度分析控制螺旋锥齿轮齿面偏差的可行性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e01/11442633/ed60e880f46c/41598_2024_73509_Fig10_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4e01/11442633/ed60e880f46c/41598_2024_73509_Fig10_HTML.jpg

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