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An improved method for analyzing meshing stiffness of nonlinear contact spur gear with tooth profile modification
Published:2023-02-15 author:WANG Xian-bin, SUN Yang, WANG Jun-long. Browse: 1088 Check PDF documents
An improved method for analyzing meshing stiffness of nonlinear 
contact spur gear with tooth profile modification


WANG Xian-bin1, SUN Yang2, WANG Jun-long3

(1.Institute of General Aviation Industry, Fujian Chuanzheng Communications College, Fuzhou 350007, China;

2.School of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, China;

3.Bosch Power Tools (China) Co.,Ltd., Hangzhou 310000, China)


Abstract:  Time-varying meshing stiffness was the periodic internal excitation of the gear pair, which was the main source of the vibration and noise of the gear transmission system. Aiming at the calculation of the meshing stiffness of spur gears with tooth profile modification, an improved analytical model of the meshing stiffness of spur gears with nonlinear contact profile modification was proposed based on the idea of energy equivalence, combined with the cantilever beam model and considering the nonlinear contact between contact pairs. Firstly, based on the existing literature, the gear tooth was simplified as a cantilever beam on the root circle and the three-dimensional transmission model of spur gear pair was transformed into twodimensional plane tooth profile for contact analysis, a semi-analytical model of single tooth meshing stiffness was constructed by energy method considering the nonlinear contact between tooth pairs. Then, the equations of deformation coordination and force balance were supplemented to derive the time-varying meshing stiffness model of spur gear pair with tooth profile modification. Finally, compared with the finite element calculation results, the calculation method was verified and the influence rules of friction and different gear parameters on meshing stiffness were analyzed. The research results show that,compared with the traditional finite element calculation results, the calculation error obtained by using this analytical model is less than 3%, and the calculation speed is 150 times higher, and the rapid solution of meshing stiffness of the spur gear with nonlinear contact can be realized under the condition of little precision loss.

Key words:  gear transmission system; vibration and noise;single tooth mesh stiffness model; time-varying mesh stiffness calculation model; friction coefficient; energy equivalence; cantilever beam model

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