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| Modification design and load tooth contact analysis of a cylindrical gear with variable hyperbolic circular arc tooth trace |
| MA Dengqiu1,2,LIU Yongping1,YE Zhenhuan2,LI Dawei1,WEI Yongqiao1 |
1.School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou 730050, China；
2.School of Engineering and Technology, Zunyi Normal College, Zunyi 563006, China |
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Abstract To improve the load-bearing capacity and dynamic characteristics of the variable hyperbolic circular arc tooth trace cylindrical gear (VHCATT cylindrical gear), the modification design method of the VHCATT cylindrical gear’s surface was put forward, that is, the cutter inclination method in the direction of tooth line and the parabola modification blade method in the direction of tooth profile. Firstly, according to the gear meshing principle and the modified tooth surface shaping principle of the VHCATT cylindrical gear, the modified tooth surface equation was derived, and the tooth surface reconstruction was realized by using MATLAB and UG. Secondly, the tooth contact analysis was to calculate the tooth surface clearance. At the same time, the contact point flexibility matrix was calculated by using the finite element method, and the load-bearing contact nonlinear mathematical programming model was established to obtain the load-bearing meshing characteristics further. Then, the influences of cutter inclination angle, parabolic coefficient and parabolic vertex position on load distribution and load transmission error of modified tooth surface were analyzed. The results show that: the reasonable cutter inclination angle and parabolic vertex position can effectively reduce the load of the tooth surface and improve the system load transmission error characteristics. The reasonable parabolic coefficient can improve the sudden change of load in the intermeshing of single tooth and double tooth. The further design and industrial applications of the VHCATT cylindrical gear can be accomplished based on the result.
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Received: 29 July 2022
Published: 28 July 2023
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