Modeling and calculation of impact of mesh-out at corner contact in gear drive
-
摘要: 基于齿轮传动线外啮出冲击原理,提出在啮合线方向上构建含系统等效误差和齿对综合变形的啮出冲击计算模型.根据齿轮变形随载荷变化的曲线推导出线外啮出冲击点的综合变形.将系统等效误差与齿对综合变形沿啮合线方向进行合成,求出线外啮出点与冲击点的位置.根据啮合点法向速度相等原理,求解线外啮出过程中被动齿轮最小转速和啮出冲击速度,进而求解出线外啮出冲击力.结果表明:线外啮出冲击力为啮入冲击力的70%~80%.即啮出冲击对齿轮传动较啮入冲击的影响要小,验证了啮出冲击和啮入冲击对“啮合合成基节误差”具有不同的作用效果.Abstract: Based on the mechanism analysis of impact of mesh-out at corner contact in gear transmission,a calculation model including system equivalent error and teeth synthetic deformation was established on the line of meshing.The synthetic deformation of the point in mesh-out beyond the normal path was reversed,on basis of meshing theory and the curve of gear deformation and load-history.By combining the system equivalent error with the teeth synthetic deformation,the point of mesh-out at corner contact and the impacting point were determined.Given uniform normal velocity at meshing points,the minimum rotation speed of the driven gear in mesh-out at corner contact and the impact velocity were solved.And then the impact force of mesh-out at corner contact was confirmed.The example calculation shows that,the impact force of mesh-out at corner contact is 70% to 80% of that of mesh-in at corner contact; namely,the impact of mesh-out is smaller than that of mesh-in.It verifies that impact in mesh-out and mesh-in has a different effect on "mesh synthetic base pitch error".
-
[1] 李润芳, 王建军.齿轮系统动力学[M].北京:科学出版社, 1997. [2] Winter H, Gerber H, Muller R.Investigation on the excitation of vibration and noise at spur and helical gears[R].Chicago:ASME International Power Transmission & Gearing Conference, 1989. [3] Smith D J, Dekker M.Gears and their vibration[M].London:Macmillan Press, 1983. [4] Oswald F B, Coy J J, Lin H H, et al.Effect of extended tooth contact on the modeling of spur gear transmissions[J].Gear Technology, 1994, 7(8):18-25. [5] Vedmar L, Henriksson B.A general approach for determining dynamic forces in spur gears[J].Journal of Mechanical Design, 1998, 120(6):593-598. [6] Kasuba R, Evans J W.An extended model for determining dynamic loads in spur gearing[J].Journal of Mechanical Design, 1981, 103(4):398-409. [7] 周长江, 唐进元, 钟志华.齿轮传动的线外啮合与冲击摩擦[J].机械工程学报2008, 44(3):76-80. ZHOU Changjiang, TANG Jinyuan, ZHONG Zhihua.Corner contact and impact friction of gear drive[J].Chinese Journal of Mechanical Engineering, 2008, 44(3):76-80.(in Chinese) [8] 谢海东, 周照耀, 夏伟, 等. 斜齿轮传动中啮合冲击数值研究[J].机械传动2005, 29(3):6-9. XIE Haidong, ZHOU Zhaoyao, XIA Wei, et al.Numerical study on meshing impact of helical gear[J].Journal of Mechanical Transmission, 2005, 29(3):6-9.(in Chinese) [9] 朱龙根.渐开线圆柱直齿轮的啮合冲击及修形[J].合肥工业大学学报, 1982, 5(3):155-165. ZHU Longgen. Meshing impact and profile modification of involute cylindrical spur gear[J].Journal of Hefei Polytechnic University, 1982, 5(3):155-165.(in Chinese) [10] Jao T C, Devlin M T, Milner J L, et al.Influence of surface roughness on gear pitting behavior[J].Gear Technology, 2006, 9(3):31-38. [11] Ognjanovic M, Agemi F.Gear vibrations in supercritical mesh-frequency range caused by teeth impacts[J].Strojniski Vestnik/Journal of Mechanical Engineering, 2010, 56(10):653-662. [12] WANG Youqiang, HE Zhicheng.Effect of impact load on transient elastohydrodynamic lubrication of spur gears[J].Advanced Materials Research, 2001, 317/318/319:548-551. [13] 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):2142-2146. 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):2142-2146.(in Chinese) [14] 唐进元, 周炜, 陈思雨.齿轮传动啮合接触冲击分析[J].机械工程学报, 2011, 47(7):22-30. TANG Jinyuan, ZHOU Wei, CHEN Siyu.Contact-impact analysis of gear transmission system[J].Chinese Journal of Mechanical Engineering, 2011, 47(7):22-30.(in Chinese) [15] LIN Tengjiao, Ou H, LI Runfang.A finite element method for 3D static and dynamic contact/impact analysis of gear drives[J].Computer Methods in Applied Mechanics and Engineering, 2007, 196(9/10/11/12):1716-1728. [16] Bajer A, Demkowicz L.Dynamic contact/impact problems, energy conservation, and planetary gear trains[J].Computer Methods in Applied Mechanics and Engineering, 2002, 191(37/38):4159-4191. [17] 肖利民, 唐进元. 低噪声齿轮设计方法(一)[J].制造技术与机床, 1995(5):30-32. XIAO Limin, TANG Jinyuan.Design method for gears with lower noise:Ⅰ[J].Manufacture Technology and Machine Tools, 1995(5):30-32.(in Chinese) [18] Kuang J H, Yang Y T.An estimate of mesh stiffness and load sharing ratio of a spur gear pair[R].Scottsdale, US:12th International Power Transmission and Gearing Conference, 1992.
点击查看大图
计量
- 文章访问数: 1274
- HTML浏览量: 1
- PDF量: 803
- 被引次数: 0