弧线齿面齿轮应力过程分析

方宗德; 李建华; 彭先龙; 蔡香伟; 张作品

弧线齿面齿轮应力过程分析

1.
西北工业大学机电学院,西安 710072
2.
秦皇岛首秦金属材料有限公司,河北秦皇岛 066326

基金项目: 国家自然科学基金(50875211)

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出版历程
- 收稿日期: 2011-11-26
- 刊出日期: 2012-12-28

Analysis of stress process for face gear with arcuate tooth pinion

1.
School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072
2.
Qinhuangdao Shouqin Metal Materials Limited Company, Qinhuangdao Hebei 066326, China

摘要

摘要: 为了给弧线齿面齿轮的齿面接触强度和齿根弯曲强度设计提供理论依据,研究了弧线齿面齿轮的齿面接触应力和齿根弯曲应力随载荷和安装误差的变化规律.在齿面接触分析和承载接触分析的基础上应用弹性理论计算了弧线齿面齿轮副的齿面接触应力和应用有限元应力影响矩阵法计算了该齿轮副的齿根弯曲应力.给出了数字计算实例,计算结果表明:齿面接触强度和齿根弯曲强度在重载时的接触强度和弯曲强度由单齿啮合区的强度决定,轴向安装误差和轴夹角安装误差分别会增加齿面接触应力和齿根弯曲应力,轴夹角安装误差和轴间距安装误差对齿面接触应力影响甚小,而轴向安装误差和轴间距安装误差可以降低齿根弯曲应力,与直齿面齿轮相比,弧线齿面齿轮的接触和弯曲应力明显减小.
- 弧线齿面齿轮 /
- 齿面接触应力 /
- 齿根弯曲应力 /
- 载荷 /
- 应力影响矩阵 /
- 有限元
Abstract: In order to provide theoretical justification for tooth surface contact strength and tooth root bending strength design of face gear with arcuate tooth pinion, the rules that the tooth surface contact stress and tooth root bending stress of the face gear with arcuate tooth pinion vary with load and errors of alignment were studied.Theory of elasticity and stress influencing matrix of finite element method were applied respectively in the contact stress and bending stress calculation based on tooth contact analysis (TCA) and load tooth contact analysis (LTCA).The calculation was illustrated by a numerical instance.The results show that the contact strength and bending strength under heavy load are determined by the strength in the single tooth meshing area, the misalignment error of axial displacement and shafts angle increase the contact stress and bending stress respectively, and the misalignment errors of shafts angle and distance between axes have little effect on the contact stress, but the misalignment errors of axial displacement and distance between axes are able to reduce the bending stress, and compared to face gear with spur pinion, the contact stress and bending stress of face gear with arcuate tooth pinion are significantly smaller.
- face gear with arcuate tooth pinion /
- tooth surface contact stress /
- tooth root bending stress /
- load /
- stress influencing matrix /
- finite element method (FEM)

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参考文献(18)

[1]	Litvin F L.Gear geometry and applied theory[M].New Jersey:PTR Prentice Hall,1994.
[2]	Bill R C.Summary highlights of the advanced rotorcraft transmission (ART) program[R].AIAA-92-3362,1992.
[3]	Filler R R,Heath G F,Slaughter S C.Torque splitting by a concentric face gear transmission[R].Montreal,Canada:The American Helicopter Society 58th Annual Forum,2002.
[4]	Litvin F L,Fuentes A,Zanzi C.Design,generation,and stress analysis of two versions of geometry of face-gear drives[J].Mechanism and Machine Theory,2002,37(10):1179-1211.
[5]	Chang S H,Chung T D,Lu S S.Tooth contact analysis of face gear drives[J].Int.J.of Mechanical Science,2000,42(3):487-502.
[6]	Litvin F L,Chen Y J,Heath G F,et al.Apparatus and method for precision grinding face gears:USA,6146253[P].2000-11-14.
[7]	Litvin F L,Gonzalez-Perez I,Fuentes A.Design,generation and stress analysis of face gear drive with helical pinion[J].Comput.Methods Appl.Mech.Engrg.,2005,194(36/37/38):3870-3901.
[8]	Litvin F L,Fuentes A,Howkins M.Design,generateon and TCA of new type of asymmetric face gear drive with modified geometry[J].Comput.Methods Appl.Mech.Engrg.,2001,190(43):5837-5865.
[9]	Guingand M,De Vaujany J P,Jacquin C Y.Quasi-static analysis of a face gear under torque[J].Comput. Methods. Appl. Mech. Engrg.,2005,194(39/40/41):4301-4318.
[10]	赵宁,郭辉,方宗德,等.直齿面齿轮修形及承载接触分析[J].航空动力学报,2008,23(11):2143-2146.ZHAO Ning,GUO Hui,FANG Zongde,et al.Modification and loaded contact analysis of spur face gears[J].Journal of Aerospace Power,2008,23(11):2143-2146.(in Chinese).
[11]	沈云波,方宗德,赵宁,等.斜齿面齿轮齿宽的设计[J].航空动力学报,2008,23(4):754-758.SHEN Yunbo,FANG Zongde,ZHAO Ning,et al.The design of tooth face width of the face gear drives with helical pinion[J].Journal of Aerospace Power,2008,23(4):754-758.(in Chinese)
[12]	沈云波,方宗德,赵宁,等.齿廓方向修形的斜齿面齿轮啮合特性研究[J].中国机械工程,2008,19(18):2219-2222.SHEN Yunbo,FANG Zongde,ZHAO Ning,et al.Meshing performance of modified face gear drive with helical pinion in the profile direction[J].China Mechanical Engineering,2008,19(18):2219-2222.(in Chinese)
[13]	西北工业大学.弧线齿面齿轮副及其加工方法:中国,200710017256.3[P].2008-07-23.
[14]	方宗德,曹雪梅,沈云波.弧线齿面齿轮的齿面设计与加工[J].航空动力学报,2010,25(1):225-227.FANG Zongde,CAO Xuemei,SHEN Yunbo.Tooth surface design and manufacture for arcuate tooth trace face gear[J].Journal of Aerospace Power,2010,25(1):225-227.(in Chinese)
[15]	苏进展,方宗德,崔艳梅.弧线齿面齿轮齿面接触分析[J].航空学报,2011,32(3):546-551.SU Jinzhan,FANG Zongde,CUI Yanmei.Tooth contact analysis on face gears with arcuate tooth[J].Acta Aeronautica et Astronautica Sinica,2011,32(3):546-551.(in Chinese)
[16]	徐秉业.弹性力学及其应用[M].北京:机械工业出版社,1984.
[17]	方宗德.修形斜齿轮的承载接触分析[J].航空动力学报,1997,12(3):252-254.FANG Zongde.Loaded tooth contact analysis of modified helical gears[J].Journal of Aerospace Power,1997,12(3):252-254.(in Chinese)
[18]	Litvin F L,Fuentes A,Zanzi C,et al.Face gear drive with spur involute pinion:geometry,generation by a worm,stress analysis[J].Comput.Methods Appl. Mech. Engrg.,2002,191(25/26):2785-2813.