Vibration characteristic for face gear based onload equivalent installation errors
-
摘要: 以面齿轮传动系统为研究对象,考虑载荷作用下面齿轮传动系统中支撑结构变形和轮齿弹性变形,通过将传动系统变形等效到面齿轮和直齿轮安装误差方向,建立包含当量安装误差的面齿轮多自由度耦合振动分析模型;采用4阶Runge-Kutta法求解了面齿轮传动系统运动微分方程,得到了当量安装误差对面齿轮振动加速度和法向动态啮合力的影响;开展了面齿轮动态特性测试试验,试验结果表明:偏置距误差和轴交角误差引起的面齿轮沿x方向振动加速度大于沿z方向振动加速度;偏置距误差对面齿轮x方向振动加速度的影响大于轴交角误差。Abstract: Considering the support structure deformation and tooth elastic deformation of the face gear drive, a multi degree of freedom coupling vibration analysis model including equivalent installation errors was established by converting the transmission deformation into installation errors. Fourth order Runge-Kutta method was adopted to solve the differential equation of face gear drive. The influences of equivalent installation errors on the vibration acceleration and the dynamic meshing force of the face gear were obtained. The dynamic characteristics experiments for face gear drive were performed. The experimental results showed that the vibration acceleration along x direction caused by offset and shaft angle error was larger than that along z direction. The influence of vibration acceleration along x direction caused by offset error was larger than that caused by shaft angle error.
-
[1] LITVIN F L,ALFONSO F,CLAUDIO Z,et al.Face gear drive with spur involute pinion:geometry,generation by a worm,stress analysis[J].Computer Methods in Applied Mechanics and Engineering,2002,191(25):2785-2813. [2] LITVIN F L,ZHANG Y,WANG J C,et al.Design and geometry of face-gear drives[J].Transactions of the ASME,1992,114(4):642-647. [3] LITVIN F L,EGELJA A,TAN J,et al.Computerized design,generation and simulation of meshing of orthogonal offset face-gear drive with a spur involute pinion with localized bearing contact[J].Mechanism and Machine Theory,1998,33(1):87-102. [4] LITVIN F L,VECHIATO D,GUROVICH E,et al.Computerized developments in design,generation,simulation of meshing,and stress analysis of gear drives[J].Meccanica,2005,40(3):291-324. [5] LITVIN F L,FUENTES A,HAWKINS J M,et al.Design,generation and tooth contact analysis (TCA) of asymmetric face gear drive with modified geometry[R].NASA/TM-2001-210614,2001. [6] GUINGAND M,VAUJANY J P,ICARD Y.Quasi-static analysis of a face gear under torque[J].Computer Methods in Applied Mechanics and Engineering,2005,194(39/40/41):4301-4318. [7] INOUE T,KUROKAWA S.Derivation of path of contact and tooth fank modification by minimizing transmission error on face gear[J].Journal of Advanced Mechanical Design,Systems,and Manufacturing,2012,6(1):15-22. [8] LIN C,LIU Y,GU S J.Analysis of nonlinear twisting vibration characteristics of orthogonal curve-face gear drive[J].Journal of the Brazilian Society of Mechanical Sciences and Engineering,2015,37(5):1499-1505. [9] PENG M,DESMIDT H A,ZHAO J.Parametric instability of face-gear drives meshing with multiple spur pinions[J].Journal of Mechanical Design,2015,137(12):1-10. [10] ZANZI C,PEDRERO J I.Application of modified geometry of face gear drive[J].Computer Methods in Applied Mechanics and Engineering,2005,194(27/28/29):3047-3066. [11] WANG Y Z,LAN Z,HOU L W,et al.A precision generating grinding method for face gear using CBN wheel[J].International Journal of Advanced Manufacturing Technology,2015,79(9):1839-1848. [12] WANG Y Z,LAN Z,HOU L W,et al.A precision milling method for a spur face gear using a five-axis computer numerical control milling machine[J].Journal of Engineering Manufacture,2016,30(8):1440-1450. [13] 靳广虎,朱如鹏,鲍和云.正交面齿轮传动系统的非线性振动特性[J].中南大学学报(自然科学版),2010,41(5):1807-1813.JIN Guanghu,ZHU Rupeng,BAO Heyun.Nonlineardynamical characteristics of face gear rransmission system[J].Journal of Central South University (Science and Technology),2010,41(5):1807-1813.(in Chinese) [14] 陈广艳,陈国定,李永祥,等.含有面齿轮的传动系统动态响应特性研究[J].航空动力学报,2009,24(10):2391-2396.CHEN Guangyan,CHEN Guoding,LI Yongxiang,et al.Dynamic response analysis of gear drive with face-gears[J].Journal of Aerospace Power,2009,24(10):2391-2396.(in Chinese) [15] 杨振,王三民,范叶森,等.面齿轮传动系统参数激励振动特性分析[J].重庆大学学报,2011,34(1):26-35.YANG Zhen,WANG Sanmin,FAN Yesen,et al.Vibrationcharacteristics of face gear transmission system with parametric excitation[J].Journal of Chongqing University,2011,34(1):26-35.(in Chinese) [16] 杨振,王三民,范叶森,等.正交面齿轮传动系统分岔特性[J].哈尔滨工业大学学报,2011,43(3):107-110.
YANG Zhen,WANG Sanmin,FAN Yesen,et al.Bifurcation characteristics of face gear transmission system[J].Journal of Harbin Institute of Technology,2011,43(3):107-110.(in Chinese)[17] 李政民卿,黄鹏,李晓贞.面齿轮轮齿刚度的计算方法及其影响因素分析[J].重庆大学学报,2014,37(1):26-38.LI Zhengminqing,HUANG Peng,LI Xiaozhen.A calculation method of the stiffness of face gear tooth and analysis of its influence factors[J].Journal of Chongqing University,2014,37(1):26-38.(in Chinese) [18] 李晓贞,赵庆斌,朱如鹏.圆柱齿轮修形的面齿轮传动系统动态特性[J].中南大学学报(自然科学版),2015,46(9):3231-3237.LI Xiaozhen,ZHAO Qingbin,ZHU Rupeng.Dynamics characteristics of face gear drive system for modifying pinion[J].Journal of Central South University (Science and Technology),2015,46(9):3231-3237.(in Chinese)
点击查看大图
计量
- 文章访问数: 622
- HTML浏览量: 2
- PDF量: 526
- 被引次数: 0