Mechanical Engineering

Optimization Design of Vibration Reduction for Hypoid Gears with Ease-Off Flank Modification 

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  • 1. Key Laboratory of Automotive Transportation Safety Techniques of Ministry of Transport,School of Automotive,Chang' an
    University,Xi'an 710064,Shaanxi,China; 2. College of Mechanical Engineering,Xi'an University of Science and Technology,
    Xi'an 710054,Shaanxi,China
蒋进科(1982-),男,博士研究生,工程师,主要从事齿轮传动技术研究。

Received date: 2019-11-12

  Revised date: 2019-12-23

  Online published: 2020-05-01

Supported by

Supported by the National Natural Science Foundation of China (51605378) and the Natural Science Basic Re-search Plan in Shaanxi Province of China (2018JM5089)

Abstract

An optimization design method of vibration reduction for ease-off modification based hypoid gears was proposed to improve dynamic performances of automobile drive pinion axle. The modified pinion were represented by a sum of two vector functions determining the tooth of conjugate and the pinion normal ease-off deviations ,which were expressed by both predesigned transmission error function and tooth profile modification curves. Mes-hing stiffness was obtained with tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA). Based on force analysis of the meshing position,the bending-torsional-axial coupling dynamic lumped mass model for hy-poid gears was established,and the vibration response of the system was obtained by solving the differential equa-tion of motion with numerical method. The best ease-off deviations were determined by a optimizing minimal mean square value of normal vibration. Besides,influences of stiffness curve shape and amplitude caused by modifica-tion on the dynamic performance of the system were explored. A numerical example shows that excessive modifica-tion leads to decrease of meshing stiffness,which are responsible for the increase of normal vibration. In case of a little differences in value of average meshing stiffness for the modified tooth surfaces,the shape is more sensitive to vibration than the amplitude for stiffness curve. After the optimal ease-off modification,the vibration of system is obviously reduced. Besides,the average meshing stiffness decreases a little and main frequency in the stiffness curve is meshing frequency,and there is no frequency doubling component. When the amplitude of load transmis-sion error (ALTE) decreases and the high frequency component in the curve increases,the vibration may not be reduced,and ALTE can basically reflect the variation tendency of vibration with loads.

Cite this article

JIANG Jinke LIU Zhao PENG Xianlong . Optimization Design of Vibration Reduction for Hypoid Gears with Ease-Off Flank Modification [J]. Journal of South China University of Technology(Natural Science), 2020 , 48(5) : 134 -141,148 . DOI: 10.12141/j.issn.1000-565X.190829

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