A theoretical method is proposed in this paper to calculate the unit curve of gear integrated error (GIE). The calculated GIE unit curve includes the quasi-static transmission error (TE) curves of the approach stage, the involute stage, and the recession stage of the ZI worm and helical gear transmission. The misalignments between the two axes of the worm and gear, as well as the modifications or errors of the tooth flanks of the gear, are considered in the procedure of calculation. Optimization algorithm is introduced to replace the solving of implicit differential equations of the conventional tooth contact analysis (TCA) method. It is proved that the proposed method is clearer and more convenient than the conventional TCA methods in calculating the GIE unit curve. The correctness and merits of the proposed method are verified by two experiments.
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March 2016
Research-Article
Theoretical Method for Calculating the Unit Curve of Gear Integrated Error
Zhaoyao Shi,
Zhaoyao Shi
Beijing Engineering Research Center of Precision
Measurement Technology and Instruments,
Beijing University of Technology,
Beijing 100124, China
e-mail: shizhaoyao@bjut.edu.cn
Measurement Technology and Instruments,
Beijing University of Technology,
Beijing 100124, China
e-mail: shizhaoyao@bjut.edu.cn
Search for other works by this author on:
Xiaoyi Wang,
Xiaoyi Wang
Beijing Engineering Research Center of Precision
Measurement Technology and Instruments,
Beijing University of Technology,
Beijing 100124, China;
Measurement Technology and Instruments,
Beijing University of Technology,
Beijing 100124, China;
School of Mechatronics Engineering,
Henan University of Science and Technology,
Luoyang 471023, China
e-mail: wxy2.0@163.com
Henan University of Science and Technology,
Luoyang 471023, China
e-mail: wxy2.0@163.com
Search for other works by this author on:
Zanhui Shu
Zanhui Shu
Beijing Engineering Research Center of Precision
Measurement Technology and Instruments,
Beijing University of Technology,
Beijing 100124, China
e-mail: shuzanhui@emails.bjut.edu.cn
Measurement Technology and Instruments,
Beijing University of Technology,
Beijing 100124, China
e-mail: shuzanhui@emails.bjut.edu.cn
Search for other works by this author on:
Zhaoyao Shi
Beijing Engineering Research Center of Precision
Measurement Technology and Instruments,
Beijing University of Technology,
Beijing 100124, China
e-mail: shizhaoyao@bjut.edu.cn
Measurement Technology and Instruments,
Beijing University of Technology,
Beijing 100124, China
e-mail: shizhaoyao@bjut.edu.cn
Xiaoyi Wang
Beijing Engineering Research Center of Precision
Measurement Technology and Instruments,
Beijing University of Technology,
Beijing 100124, China;
Measurement Technology and Instruments,
Beijing University of Technology,
Beijing 100124, China;
School of Mechatronics Engineering,
Henan University of Science and Technology,
Luoyang 471023, China
e-mail: wxy2.0@163.com
Henan University of Science and Technology,
Luoyang 471023, China
e-mail: wxy2.0@163.com
Zanhui Shu
Beijing Engineering Research Center of Precision
Measurement Technology and Instruments,
Beijing University of Technology,
Beijing 100124, China
e-mail: shuzanhui@emails.bjut.edu.cn
Measurement Technology and Instruments,
Beijing University of Technology,
Beijing 100124, China
e-mail: shuzanhui@emails.bjut.edu.cn
1Corresponding author.
Contributed by the Power Transmission and Gearing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received September 21, 2015; final manuscript received December 8, 2015; published online January 13, 2016. Assoc. Editor: Hai Xu.
J. Mech. Des. Mar 2016, 138(3): 033301 (8 pages)
Published Online: January 13, 2016
Article history
Received:
September 21, 2015
Revised:
December 8, 2015
Citation
Shi, Z., Wang, X., and Shu, Z. (January 13, 2016). "Theoretical Method for Calculating the Unit Curve of Gear Integrated Error." ASME. J. Mech. Des. March 2016; 138(3): 033301. https://doi.org/10.1115/1.4032400
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