Nonlinear dynamic modeling and experimental validation of two-stage spur gears system
Liu Hui1 , Zhang Chen1 , Wang Cheng2
1. School of Mechanical and Vehicular Engineering, Beijing Institute of Technology, Beijing 100081;
2. Chinese North Vehicle Research Institute, Beijing 100072
In this paper, the lateral-torsional coupled nonlinear dynamic model of gear transmission is taken as the research object. Firstly, the time-varying pressure angle caused by the bending displacement of gears was proposed. Secondly, based on the characteristics of involute gear transmission, the instantaneous meshing point speed analysis was carried out, and the meshing point pressure angles were used to determine the boundary condition of single and double teeth mesh, combined the above analysis with the weber mechanics of materials we obtained the feedback model of time-varying mesh stiffness which considered the speed fluctuations and bending displacement of gear pairs, which can provide more accurate description of the engagement in the gear transmission process. Then, the computer program of gear meshing feedback model was translated into Fortran code. Finally, the lateral-torsional coupled nonlinear lumped mass model of two-stage gear transmission was established, taking the eccentric, backlash , time-varying mesh angle and mesh stiffness feedback model into consideration, with the help of Lagrange method. Then solve the nonlinear model using the RK4 method. The results show that: the gear bending deformation can cause the changing of gears meshing angle related to the changing of gear pairs central distance，and the frequency mainly domain by the rotation frequency; the gear speed fluctuations as well as the bending displacement of the gears cause the frequency of mesh stiffness consist of rotation frequency and the meshing frequency and their combined frequency, also the centrifugal force caused by eccentrics can increase the rotation frequency amplitudeof all dynamic response, the eccentrics also play a significant impact on the time-varying meshing angle and gear axis trajectories.
收稿日期: 2016-02-29
出版日期: 2017-07-28
引用本文:
刘辉1,张晨1,王成2 . 两级渐开线齿轮传动系统横-摆-扭耦合非线性动力学建模与试验验证[J]. 振动与冲击, 2017, 36(15): 124-132.
Liu Hui1,Zhang Chen1,Wang Cheng2. Nonlinear dynamic modeling and experimental validation of two-stage spur gears system. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(15): 124-132.
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