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Abstract: Based on the mechanism analysis of corner contact, the method for the system model of gear error－deformation calculation is established on the line of action. According to the distributive law of key transmission errors, the effective system error is obtained along the line. The synthetic tooth compliance of the point lying in corner contact is inversed based on the theory of engagement and the curve of tooth synthetic compliance & load-history. Combined the effective error for gear system with complex deflection of engaging teeth , the standard of the point situated at corner contact is probed. The key data of the position and impact force from the beginning point of corner contact obtained, and the impact velocity and forces, from the beginning to the end position situated at corner contact, are calculated accurately. Due to the key data, the lash model during corner contact is founded, and the impact friction force and coefficient of engaging points are calculated. Compared with the relative studies, the above model, calculating method and analytical conclusions are reliable. The results could be referenced to study frictional performance of tooth profile and damp and denoise.
Key words: Gear drive Corner contact Impact friction System error Synthetic compliance
CLC No:
TH114
国家自然科学基金(50475139)和湖南省自然科学基金(06JJ50100)项目资助.
Received
20070807,
received
in
revised
form
20071031
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[1] WINTER H, GERBER H, MULLER R.
Investigation on the excitation of vibration and noise at spur and
helical gears[C]//Proc. 1989 ASME International Power Trans-mission &
Gearing Conference, Chicago, 1989: 765-772.
[2] SMITH D J. Gears and their vibration[M]. New York: Marcel Dekker,
1983.
[3] SEIREG A, HOUSER D R. Evaluation of dynamic factors for spur and
helical gears[J]. ASME Journal of Engineer-ing for Industry, 1970,
92(5): 504-515.
[4] KASUBA R , EVANS J W. An extended model for deter-mining dynamic
loads in spur gearing[J]. ASME Journal of Mechanical Design, 1981,
103(4): 398-409.
[5]
XIAO Limin, TANG Jinyuan. Design method for gears with lower noise
(Ⅰ)[J]. Manufacture Technology and Machine Tools, 1995 (5): 30-32.
[6] VEDMAR L, HENRIKSSON B. A general approach for determining dynamic
forces in spur gears[J]. ASME Jour-nal of Mechanical Design, 1998,
120(6): 593-598.
[7]
SHENG Yun, WU Baolin. Calculation analysis on mesh-ing impact in gear
transmission[J]. Journal of Machine Design, 2005, 22(7): 41-43.
[8] WALLANCE D B, SEIREG A. Computer simulation of dynamic stress,
deformation, and fracture of gear teeth[J]. Journal of Engineering for
Industry, 1973, 95(11): 1 108- 1 114.
[9] BAHGAT B M, OSMAN M O M, SANKAR T S. On the spur-gear dynamic
tooth-load under consideration of sys-tem elasticity and tooth involute
profile[J]. Journal of Mechanisms, Transmissions and Automation in
Design, 1983, 105(9): 302-309.
[10] VIJAYARANGAN S, GANESAN N. A study of dynamic stresses in a spur
gear under a moving line load and im-pact load conditions by a
three-dimensional finite element method[J]. Journal of Sound and
Vibration,1993, 162(1): 185-189.
[11]
LONG Hui, ZHANG Guanghui, OU Heng’an. Computer simulation of load and
stress of spur gears in meshing process[J]. Chinese Journal of
Mechanical Engineering, 1995, 31(5): 39-44.
[12]
SUN Yuehai, ZHANG Ce, GE Nan. Tooth profile modifi-cation for spur gears
with manufacturing error[J]. Chinese Journal of Mechanical Engineering,
2003, 39(12): 91-94.
[13]
WANG Youqiang, LI Hongqi, TONG Jingwei. The EHL numerical analysis of
impact load in a spur gear[J]. Lu-brication Engineering, 2003(5): 10-11.
[14]
CHEN Wenhua, ZHU Haifeng, FAN Xiaoyan. Monte- Carlo simulation analysis
of transmission error for gear drive systems[J]. Chinese Journal of
Scientific Instrument, 2004, 25(4): 435-437, 444.
[15]
Editors Committee of Handbook of Gears. Handbook of gears (Second Edition)[M]. Beijing: China Machine Press, 2002.
[16]
ZHOU Changjiang, TANG Jinyuan, WU Yunxin. Load-hist evaluation of
stresses and deflection of spur gear teeth based on exact model[J].
Machine Design and Research, 2004, 20(3): 67-70.
[17] KUANG J H , YANG Y T. An estimate of mesh stiffness and load
sharing ratio of a spur gear pair[C]//Proceedings of ASME Journal of
12th International Power Transmis-sion and Gearing Conference,
Scottsdale, Arizona,1992, 43: 1-9.
[18] ENGEL P A. Impact wear of materials[M]. New York: Elsevier
Scientific Publishing Company, 1976.
[19]
КРАГЕЛБСКИЙ И В. Calculation principles of friction and wear[M].
Beijing: China Machine Press,1982.
[20] LEWIS A D, ROGERS R J. Experimental and numerical study of forces
during oblique impact [J]. Sound & Vibra-tion, 1988, 125(3): 403-412.
[21]
WEN Shizhu, HUANG Ping. Principles of Tribol-ogy(Second Edition)[M].
Beijing: Tsinghua University Press, 2003.
[22] ÀHRSTRÖM B O. Investigation of frictional properties of lubricants
at transient elastohydrodynamic conditions[J]. Tribology International,
2001, 34(12): 809-814.
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