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International Standard Serial Number:
ISSN 1001-4551
Sponsor:
Zhejiang University;
Zhejiang Machinery and Electrical Group
Edited by:
Editorial of Journal of Mechanical & Electrical Engineering
Chief Editor:
ZHAO Qun
Vice Chief Editor:
TANG ren-zhong,
LUO Xiang-yang
Tel:
86-571-87041360,87239525
Fax:
86-571-87239571
Add:
No.9 Gaoguannong,Daxue Road,Hangzhou,China
P.C:
310009
E-mail:
meem_contribute@163.com
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 twodimensional 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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