Isogeometric Analysis of Gear with Single Tooth Contact

被引:0
|
作者
Chen L. [1 ]
Hao C. [1 ]
Wang Z. [1 ]
Feng W. [1 ]
Yang Y. [1 ]
机构
[1] School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai
关键词
Finite element analysis; Gear contact analysis; Hertz contact analysis; Isogeometric analysis;
D O I
10.3901/JME.2021.03.107
中图分类号
学科分类号
摘要
The gear is an ancient transmission equipment and widely used in machine. Damage of tooth surface is the main form of gear failure. Therefore, gear contact analysis is an important means of gear design. The latest development of the isogeometric analysis (IGA) method draws some attention for its excellent performance in solving contact analysis. To cut down the difficulty, the spur gear is simplified into a planar model. Firstly, the planar gear model is built to be suitable for IGA by stitching multi patches of parametric NURBS surface, as well as the deviation between the model for IGA and the model presented by standard involute is discussed. Secondly, calculation formulas for planar contact analysis using IGA is derived. Then the calculation is applied on a pair of gears that are engagement. In order to verify the correctness of contact analysis by IGA, two comparative verification methods are given. One is comparing the analysis result from IGA with the theoretical calculation under the case of Hertz contact. The other is comparing the result from IGA with the result from the business CAE software. The comparison results show that IGA has the potential advantages of high calculation efficiency, fast speed, and smoother stress field when it is applied on contact problem. IGA not only provides a new method for contact analysis of gear, it but also offers a new path for the integration design of gear in the stage of modelling, simulation and optimization. © 2021 Journal of Mechanical Engineering.
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页码:107 / 115
页数:8
相关论文
共 28 条
  • [1] JOHNSON K L., (1992)
  • [2] MA Wen, Numerical calculation of rolling contact problem and its finite element analysis, Mechanical Engineering&Automation, 6, pp. 51-55, (2011)
  • [3] Hughes T J R, Cottrell J A, Bazilevs Y., Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Computer Methods in Applied Mechanics and Engineering, 194, 39-41, pp. 4135-4195, (2005)
  • [4] WU Zijun, HUANG Zhengdong, ZUO Bingquan, Et al., Perspectives on isogeometric analysis, Journal of Mechanical Engineering, 51, 5, pp. 114-129, (2015)
  • [5] LU Jia, Isogeometric contact analysis: Geometric basis and formulation for frictionless contact, Computer Methods Applied Mechanics and Engineering, 200, 5, pp. 726-741, (2011)
  • [6] MAO K., Gear tooth contact analysis and its application in the reduction of fatigue wear, Wear, 262, 11, pp. 1281-1288, (2007)
  • [7] LI Shuting, Gear contact model and loaded tooth contact analysis of a three-dimensional, thin-rimmed gear, Journal of Mechanical Design, 124, 3, pp. 511-517, (2002)
  • [8] LI Xuezhi, CHEN Meng, CHEN Shaokang, Et al., Statics analysis and modification research of profile modified helical gears, Machinery, 46, 1, pp. 12-15, (2019)
  • [9] ZHUO Yaobin, ZHOU Xiaojun, LU Haoliang, Et al., Theoretical and experimental investigation on contact characteristics of hypoid gears under quasi-static condition, Chinese Journal of Scientific Instrument, 38, 5, pp. 1285-1295, (2017)
  • [10] HUANG Xuewen, Contact analysis of helical gear based on precise B-spline surface model, Coal Mine Machinery, 33, 9, pp. 132-134, (2012)