Elasto-plastic Contact Analysis of Rough Tooth Surface
-
摘要: 为研究粗糙齿面啮合过程中弹塑性接触行为，从粗糙曲面弹性接触算法出发，结合ZMC弹塑性接触模型，得到适于齿轮传动啮合计算的粗糙曲面弹塑性接触算法。同时，为减小粗糙齿面接触建模过程中采样间隔影响，利用微观形貌拟合方法作几何预处理，计算得到相对稳定的微凸体分布参数。针对实测粗糙齿面形貌，基于所提方法开展齿轮啮合过程弹塑性接触计算，对比分析不同条件下粗糙齿面弹性与弹塑性模型接触参数变化规律。研究表明：不考虑塑性变形将使得粗糙齿面接触行为预测产生偏差，且这种偏差与塑性指数、粗糙度有关。Abstract: To study the elasto-plastic contact behavior in the meshing process of rough tooth surface, an elasto-plastic contact algorithm for rough curved surface is proposed based on the ZMC model. For reducing the effect of the sampling interval in the contact modeling, the rough tooth surface topography is pretreated by using the micro topography fitting method. In a way, the asperity distribution parameters can be obtained steadily. The present elasto-plastic contact algorithm is implemented by using the measured tooth surface topography in gear meshing process. The variations of the contact results between those from elastic contact analysis and those from elasto-plastic contact analysis under different conditions are compared, the clues for contact behavior prediction in the gear meshing process is provided
-
Key words:
- gear transmission /
- elasto-plastic contact /
- surface roughness /
- asperity
-
表 1 齿轮计算相关参数
参数名 数值 齿轮模数m 3 mm 主动轮齿数z1 33 从动轮齿数z2 25 压力角α 25° 齿宽l 28 mm 弹性模量E 209 GPa 泊松比v 0.29 屈服强度σs 850 MPa 硬度H(2.8σs) 2.38 GPa 
下载: 导出CSV
表 2 不同塑性指数下微凸体分布参数取值
σβη σ/β ψ 0.033 9 1.60×10-4 0.7 0.047 9 6.58×10-4 1.5 0.060 1 1.77×10-3 2.5
下载: 导出CSV
-
[1] 肖望强, 李威.基于双压力角轻量化设计的弧齿锥齿轮接触应力分析与试验[J].机械工程学报, 2015, 51(23):68-75 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jxgcxb201523009Xiao W Q, Li W. Analysis and experiment of contact stress for spiral bevel gear based on lightweight design of double pressure angles[J]. Journal of Mechanical Engineering, 2015, 51(23):68-75(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jxgcxb201523009 [2] 魏莎, 韩勤锴, 褚福磊.考虑不确定性因素的齿轮系统动力学研究综述[J].机械工程学报, 2016, 52(1):1-19 http://d.old.wanfangdata.com.cn/Periodical/jxgcxb201601001Wei S, Han Q K, Chu F L. Review on research of uncertain dynamics for gear system[J]. Journal of Mechanical Engineering, 2016, 52(1):1-19(in Chinese) http://d.old.wanfangdata.com.cn/Periodical/jxgcxb201601001 [3] Liu H J, Zhu C C, Sun Z D, et al. Starved lubrication of a spur gear pair[J]. Tribology International, 2016, 94:52-60 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=c432e4e9304b7ec9dbc977b14be8dc83 [4] 陈勇, 臧立彬, 巨东英, 等.高强度汽车齿轮表面强化技术的研究现状和发展趋势[J].中国表面工程, 2017, 30(1):1-15 http://d.old.wanfangdata.com.cn/Periodical/zgbmgc201701001Chen Y, Zang L B, Ju D Y, et al. Research status and development trend on strengthening technology of high strength automobile gear surface[J]. China Surface Engineering, 2017, 30(1):1-15(in Chinese) http://d.old.wanfangdata.com.cn/Periodical/zgbmgc201701001 [5] Greenwood J A, Wu J J. Surface roughness and contact:an apology[J]. Meccanica, 2001, 36(6):617-630 http://cn.bing.com/academic/profile?id=f320e7cf6b0fc4c95b6ea9b8c3ba1d41&encoded=0&v=paper_preview&mkt=zh-cn [6] Kogut L, Etsion I. A finite element based elastic-plastic model for the contact of rough surfaces[J]. Tribology Transactions, 2003, 46(3):383-390 http://d.old.wanfangdata.com.cn/OAPaper/oai_doaj-articles_eb7fd29366bcbe6610dc859c39ed8dc6 [7] Zhao Y W, Chang L. A model of asperity interactions in elastic-plastic contact of rough surfaces[J]. Journal of Tribology, 2001, 123(4):857-864 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=e09bcb58eed6ecdaf1f3302442aedf52 [8] Zhu H B, Zhao Y T, He Z F, et al. An elastic-plastic contact model for line contact structures[J]. Science China Physics, Mechanics & Astronomy, 2018, 61(5):054611 http://cn.bing.com/academic/profile?id=bfdead129eeba10c85dae03d30760e25&encoded=0&v=paper_preview&mkt=zh-cn [9] Zhou C J, Huang F T, Han X, et al. An elastic-plastic asperity contact model and its application for micro-contact analysis of gear tooth profiles[J]. International Journal of Mechanics and Materials in Design, 2017, 13(3):335-345 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=5bc018e377842fa2d973cc81dddb887f [10] 陈奇, 黄康, 张彦, 等.基于分形接触模型的齿轮接触强度影响参数分析[J].中国机械工程, 2013, 24(16):2208-2211 http://d.old.wanfangdata.com.cn/Periodical/zgjxgc201316015Chen Q, Huang K, Zhang Y, et al. Analysis of influence parameters on gear's contact strength based on fractal contact model[J]. China Mechanical Engineering, 2013, 24(16):2208-2211(in Chinese) http://d.old.wanfangdata.com.cn/Periodical/zgjxgc201316015 [11] Zhu D, Ren N, Wang Q J. Pitting life prediction based on a 3D line contact mixed EHL analysis and subsurface von mises stress calculation[J]. Journal of Tribology, 2009, 131(4):041501 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=8dc5be4bf1f79414a1d0eb1b715fe3a7 [12] 汤中连, 亓秀梅, 高创宽.齿面粗糙度对齿轮传动接触疲劳应力的影响[J].润滑与密封, 2011, 36(4):53-57 http://d.old.wanfangdata.com.cn/Periodical/rhymf201104013Tang Z L, Qi X M, Gao C K. Influence of tooth face roughness on gearing contact fatigue stress[J]. Lubrication Engineering, 2011, 36(4):53-57(in Chinese) http://d.old.wanfangdata.com.cn/Periodical/rhymf201104013 [13] 赵永武, 吕彦明, 蒋建忠.新的粗糙表面弹塑性接触模型[J].机械工程学报, 2007, 43(3):95-101 http://d.old.wanfangdata.com.cn/Periodical/jxgcxb200703016Zhao Y W, Lü Y M, Jiang J Z. New elastic-plastic model for the contact of rough surfaces[J]. Chinese Journal of Mechanical Engineering, 2007, 43(3):95-101(in Chinese) http://d.old.wanfangdata.com.cn/Periodical/jxgcxb200703016 [14] Wen Y Q, Tang J Y, Zhou W, et al. An improved simplified model of rough surface profile[J]. Tribology International, 2018, 125:75-84 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=1e81c87b3293894e9edcb10706a3e0ba [15] Lo C C. Elastic contact of rough cylinders[J]. International Journal of Mechanical Sciences, 1969, 11(1):105-115 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=e75f5f3b77a2cdba69f2a15742219156 -
点击查看大图
图(8) / 表(2)
计量
- 文章访问数: 256
- HTML全文浏览量: 78
- PDF下载量: 36
- 被引次数: 0
