Effects of Tooth Modifications on Mesh Characteristics of Intersected Beveloid and Cylindrical Involute Gear Pair with Small Shaft Angle

doi:10.3901/JME.2019.15.135

Abstract

Abstract: The mathematical equations of beveloid gear surface with tooth flank modifications and tooth profile modifications are derived. The finite element loaded mesh model for beveloid and cylindrical involute gear pair with intersected axes were developed to investigate the influences of single tooth flank modification, single tooth profile modification and combined modification on contact pattern, tooth root stress and transmission error. Results show that:compared with the results before tooth modification, flank line drum modification for single beveloid or cylindrical gear tends to decrease the area of contact pattern, increase the tooth contact stress, root stress and the transmission error. Flank line slope modification for cylindrical gear can shift the contact pattern from small end to the middle of tooth surface, basically solved the bias load problem. Profile crowning modification for single beveloid or cylindrical gear tends to increase the area of contact pattern, eliminated the edge contact phenomenon. Contact pattern is most sensitive to tooth profile slope modification. The combination modification of profile crowning for beveloid and flank line slope for cylindrical obviously increase the area of contact pattern, decrease the contact stress and transmission error.

Key words: beveloid gear, intersected axes, mesh characteristics, small shaft angle, tooth modification

CLC Number:

TG156

ZHOU Yao, SONG Chaosheng, ZHU Caichao, LIU Siyuan, NI Gaoxiang, DU Xuesong. Effects of Tooth Modifications on Mesh Characteristics of Intersected Beveloid and Cylindrical Involute Gear Pair with Small Shaft Angle[J]. Journal of Mechanical Engineering, 2019, 55(15): 135-144.

References

[1] BÖRNER J,HUMM K,JOACHIM F. Development of conical involute gears (beveloids) for vehicle transmissions[C]//ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference,September 2-6,2003,Chicago,Illinois,USA,DETC2003/PTG-48089:1-8.
[2] MITOME K,YAMAZAKI T. Design of conical involute gear engaged with profile shifted spur gear on intersecting shafts[J]. Transactions of the Japan Society of Mechanical Engineers Series C,1996,62(598):2436-2441.
[3] WU S H,TSAI S J. Contact stress analysis of skew conical involute gear drives in approximate line contact[J]. Mechanism & Machine Theory,2009,44(9):1658-1676.
[4] ALFONSO F,INGNACIO G,KENICHI H. Computerized design of conical involute gears with improved bearing contact and reduced noise and vibration[J]. VDI-Society for Product and Process Design,International Conference on Gears-Europe invites the world,2010,Technical University of Munich,Garching,Germany:635-646
[5] CHRISTOPHER T,HANSGEORG B,MATTHIAS B. The influence of manufacturing deviations on the transmission behavior of conical involute gears[C]//VDI-Society for Product and Process Design,International Conference on Gears-Europe Invites the World,October 4-6,2010,Technical University of Munich,Garching,Germany:647-658.
[6] BÖRNER J,HUMM K,JOACHIM F,YAKARIA H. Application,design,and manufacturing of conical involute gears for power transmissions[C]//International Conference on Gears,Pts 1 and 2-EUROPE INVITES THE WORLD,September 14-16,2005,Garching,Germany,1904:125-144.
[7] CHEN Y C,LIU C C. Contact stress analysis of concave conical involute gear pairs with non-parallel axes[J]. Finite Elements in Analysis and Design,2011,47(4):443-452.
[8] 温建民,李瑰贤,李笑,等. 非渐开线变厚齿轮修形方法的研究[J]. 哈尔滨工程大学学报,2003(6):660-663. WEN Jianmin,LI Guixian,LI Xiao,et al. Study of tooth modification of noninvolute beveloid gears[J]. Journal of Harbin Engineering University,2003,24(6):660-663.
[9] SONG C,ZHU C,LIM T C,et al. Parametric analysis of gear mesh and dynamic response of loaded helical beveloid transmission with small shaft angle[J]. Journal of Mechanical Design,2012,134(8):084501.
[10] ZHU C,SONG C,LIM T C,et al. Pitch cone design and influence of misalignments on tooth contact behaviors of crossed beveloid gears[J]. Mechanism & Machine Theory,2013,59(59):48-64.
[11] SONG C,ZHOU Y,ZHU C,et al. Loaded tooth contact analysis of intersected beveloid and cylindrical involute gear pair with small shaft angle[J]. Journal of Advanced Mechanical Design Systems & Manufacturing,2018,12(1):1-15.
[12] 陈思雨,唐进元,王志伟,等. 修形对齿轮系统动力学特性的影响规律[J]. 机械工程学报,2014,50(13):59-65. CHEN Siyu,TANG Jinyuan,WANG Zhiwei,et al. Effect of modification on dynamic characteristics of gear transmissions system[J]. Journal of Mechanical Engineering,2014,50(13):59-65.
[13] 汪建,张俊. 轮齿修形对斜齿轮传递误差影响的比较性分析[J]. 振动与冲击,2018,37(2):254-260. WANG Jian,ZHANG Jun. Effects of gear modification on transmission error of a helical gear pair[J]. Journal of Vibration and Shock,2018,37(2):254-260.
[14] 宋朝省. 小倾角船用齿轮箱交错轴传动特性研究[D]. 重庆:重庆大学,2011. SONG Chaosheng. Study on transmission characteristics of staggered shaft for small inclination marine gear box[D]. Chongqing:Chongqing University,2011.