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Loading contact analysis method of modified straight bevel gears
Published:2023-09-20 author:DU Jian-xia, BAO Guang-qing. Browse: 1052 Check PDF documents
Loading contact analysis method of modified straight bevel gears


DU Jian-xia1, BAO Guang-qing2

(1.College of Mechanical Engineering, Gansu Institute of Mechanical & Electrical Engineering, Tianshui 741001, China; 

2.School of Electrical Engineering and Information, Southwest Petroleum University, Chengdu 610500, China)


Abstract:  Aiming at the calculation of the contact characteristics and contact forms of the modified straight bevel gear pair, a loaded contact analysis method for the modified straight bevel gear pair was proposed. The calculation process of meshing characteristics of modified straight bevel gear pair was systematically expounded. 
Firstly, the standard tooth surface of straight bevel gear was generated based on the principle of spherical involute spreading, and the mathematical model of tooth root fillet was constructed according to the principle of tangential tooth root circle and spherical involute. Then, combining with binary quadratic polynomial, the tooth surface was modified and the corresponding discrete points were obtained. On this basis, the modified tooth surface equation was reconstructed by using spline surface construction method. After that, according to the principle of gear meshing, the tooth contact analysis was further completed, and the instantaneous conjugate contact points and the meshing traces of the whole meshing period were obtained. At last, the contact ellipse, the major and minor axes, maximum contact stress and stress distribution under load were calculated by using Hertz contact correction model, and the loading contact analysis of conjugate contact straight bevel gears was completed. The research results show that, comparing with the results of finite element, under the condition of using the calculation method of loading contact characteristics,the meshing characteristics such as contact trace and contact ellipse are consistent, and the errors of contact force and maximum contact stress are within 1% and 2%. The comparison results show that the loading contact of modified straight bevel gears can be accurately analyzed by the proposed method.

Key words:  gear transmission; tooth contact analysis(TCA); loading contact analysis; gear meshing principle; Hertz contact correction model; meshing characteristics

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