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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
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86-571-87239571
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No.9 Gaoguannong,Daxue Road,Hangzhou,China
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meem_contribute@163.com
Abstract: Aiming at the problem of difficulty in selecting the fitting order of gear backlash nonlinearity,a comprehensive study of the helical gear system was executed by theoretical modeling and simulation, and the actual gear system was explored by experimental test. Firstly, a nonlinear gear system was established with the axial vibration under consideration by Runge-Kutta integration method and the mathematical model was dimensionless, the gear backlash was respectively treated with no fitting, 4th order fitting and 8th order fitting. Secondly, the amplitude-frequency response ratio curves of gear system in x, y and z directions were obtained, and the effects of fitting order on the dynamic characteristics in x,y and z directions were explored. Finally, the dynamic tests of the gear system were carried out, the vibration response diagram of the gear system in x,y and z directions was obtained, and the conclusion was drawn with the simulation results. The results indicate that the vibration response of the gear system of the differences is big in the z axis, the selection of fitting order should focus on z axis. The nonlinear fourth-order fitting function of the backlash nonlinearity changing the contact state of the tooth surface in advance, which also respectively increase the resonance amplitude significantly in x and y axis by 1 time and 1/3 times. For multi-clearance gear nonlinear systems, the non-fitting of the clearances may lead to computational difficulties and inaccurate results. The fourth fitting processing of tooth backlash can make up for the influences of other nonlinear factors to the greatest extent close-by inherent frequency. In other frequency ranges,the dynamic response of the gear system with the eighth fitting function of the tooth backlash is close to the reality. The fitting processing of nonlinear function of tooth backlash can not only improve the calculation efficiency,but also improve the accuracy of the model.
Key words: helical gear transmission system; nonlinear gear system; axial vibration; tooth backlash; dynamic response; fitting order; Runge-Kutta integration method
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