|Table of Contents|

[1] Lü Hongzhan, Hou Zhiyong, Wang Junzheng, Wang Yuda, et al. Contact calculation and simulation analysis of the involute cylindrical gear [J]. Journal of Southeast University (English Edition), 2024, 40 (1): 68-79. [doi:10.3969/j.issn.1003-7985.2024.01.008]
Copy

Contact calculation and simulation analysis of the involute cylindrical gear()
Share:

Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
40
Issue:
2024 1
Page:
68-79
Research Field:
Mechanical Engineering
Publishing date:
2024-03-20

Info

Title:
Contact calculation and simulation analysis of the involute cylindrical gear
Author(s):
Lü Hongzhan Hou Zhiyong Wang Junzheng Wang Yuda
College of Mechanical Engineering, Donghua University, Shanghai 201620, China
Keywords:
involute cylindrical gear Hertz formula contact analysis program development
PACS:
TH132
DOI:
10.3969/j.issn.1003-7985.2024.01.008
Abstract:
To facilitate the contact analysis of involute cylindrical gears, a meshing contact analysis and tooth profile modification algorithm program for involute cylindrical gears is designed. The involute spur gear parameter equation is employed to accurately model the radius of curvature of the tooth profile contact point, and the Hertz contact formula is enhanced to solve the gear meshing contact stress considering the actual load. To reduce the impact of gear meshing, five tooth profile modification methods and their contact stress analysis methods after modification are given in the algorithm program. Compared with the calculations by MASTA, the industry-recognized gear design simulation software, the algorithm program has a higher accuracy in solving the contact stress and the contact stress distribution after tooth profile modification accords with the MASTA calculation results, and the average error is about 5.04%, which confirms the rationality of the algorithm program.

References:

[1] Dadon I, Koren N, Klein R, et al. Impact of gear tooth surface quality on detection of local faults[J].Engineering Failure Analysis, 2020, 108: 104291. DOI: 10.1016/j.engfailanal.2019.104291.
[2] Zhai G D, Liang Z H, Fu Z H. A mathematical model for parametric tooth profile of spur gears[J].Mathematical Problems in Engineering, 2020, 2020: 1-12. DOI: 10.1155/2020/7869315.
[3] Chen Z, Zeng M, Fuentes-Aznar A. Geometric design, meshing simulation, and stress analysis of pure rolling rack and pinion mechanisms[J].Journal of Mechanical Design, 2020, 142(3): 031122. DOI: 10.1115/1.4044954.
[4] Vouaillat G, Noyel J P, Ville F, et al. From Hertzian contact to spur gears: Analyses of stresses and rolling contact fatigue[J].Mechanics & Industry, 2019, 20(6): 626. DOI: 10.1051/meca/2019064.
[5] Wen Q, Du Q G, Zhai X C. Analytical calculation of the tooth surface contact stress of spur gear pairs with misalignment errors in multiple degrees of freedom[J].Mechanism and Machine Theory, 2020, 149: 103823. DOI: 10.1016/j.mechmachtheory.2020.103823.
[6] Sivayogan G, Rahmani R, Rahnejat H. Lubricated loaded tooth contact analysis and non-newtonian thermoelastohydrodynamics of high-performance spur gear transmission systems[J].Lubricants, 2020, 8(2): 20. DOI: 10.3390/lubricants8020020.
[7] Hertz H. On the contact of elastic solids[J]. Journal Für Die Reine Und Angewandte Mathematik, 1881, 92: 156-171.
[8] Maper A, Karuppanan S, Patil S S. Analysis and formulation of spur gear stresses with different tip modifications[J].Journal of Central South University, 2019, 26(9): 2368-2378. DOI: 10.1007/s11771-019-4180-x.
[9] Pleguezuelos M, Sánchez M B, Pedrero J I. Control of transmission error of high contact ratio spur gears with symmetric profile modifications[J].Mechanism and Machine Theory, 2020, 149: 103839. DOI: 10.1016/j.mechmachtheory.2020.103839.
[10] Kimiaei M, Akbarzadeh S. Effect of profile modification on the performance of spur gears in isothermal mixed-EHL regime using load-sharing concept[J].Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 2019, 233(6): 936-948. DOI: 10.1177/1350650118806802.
[11] Fu Z S. Differential geometry and gear meshing principle[M]. Dongying: China University of Petroleum Press, 1999.(in Chinese)
[12] Pu L G, Chen G D, Wu L Y. Machine design[M]. 10th ed. Beijing: Higher Education Press, 2019.(in Chinese)
[13] Wu X T. Principle of gear meshing[M]. Xi’an: Xi’an Jiaotong University Press, 2009.(in Chinese)
[14] Sánchez M B, Pleguezuelos M, Pedrero J I. Enhanced model of load distribution along the line of contact for non-standard involute external gears[J].Meccanica, 2013, 48(3): 527-543. DOI: 10.1007/s11012-012-9612-8.
[15] The International Organization for Standardization. Calculation of load capacity of spur and helical gears: ISO 6336-1[S]. Geneva, Switzerland: ISO copyright office, 2006.
[16] Smith J D.Gear noise and vibration[M]. 2nd ed.New York, USA: Marcel Dekker, 2003.
[17] Li R Z, Zhao Q H. Gear strength design materials[M]. Beijing: China Machine Press, 1984.(in Chinese)
[18] Zhou C J, Tang J Y, Wu Y X. The comparative study of the bending stress and elastic deformation calculation of gear tooth[J]. Journal of Mechanical Transmission, 2004, 28(5): 1-6, 65. DOI:10.16578/j.issn.1004.2539.2004.05.001. (in Chinese)

Memo

Memo:
Biography: Lü Hongzhan(1979—), male, doctor, associate professor, lvhz@dhu.edu.cn.
Foundation item: The National Key Research and Development Program of China(No. 2018YFB2001702).
Citation: Lü Hongzhan, Hou Zhiyong, Wang Junzheng, et al.Contact calculation and simulation analysis of the involute cylindrical gear[J].Journal of Southeast University(English Edition), 2024, 40(1):68-79.DOI:10.3969/j.issn.1003-7985.2024.01.008.
Last Update: 2024-03-20