Spectrum Analysis of a Dual Rotor Bearing System under Bearing Elevation in Inner Rotor
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摘要: 采用Timoshenko梁建立双转子系统的有限元模型,再根据三弯矩方程计算内转子不同心引起的附加轴承载荷,将轴承载荷引入双转子动力学方程,最终建立内转子不同心的双转子系统动力学模型。采用Newmark-β法求解系统动力学方程,分析不同心对转子系统振动频谱的影响。搭建了双转子试验台对仿真结果进行验证。研究表明:内转子轴承的不同心将导致轴承载荷随标高量线性变化,轴承载荷会使内转子产生静态变形。不同心状态下的不平衡响应除引起内、外转子倍频振动外,还激起了多阶正向进动和反向进动的固有频率,导致双转子系统振动频谱更加复杂。Abstract: The effects of bearing elevation in inner rotor on the spectrum of the dual-rotor-bearing system were studied by finite element method and the three-moment Equation. Firstly, the finite element dynamic model of the dual-rotor system was established with Timoshenko beam. Secondly, the additional bending moment and bearing load due to the bearing elevation were calculated according to the three-moment Equation. Then, the finite element dynamic model of the dual-rotor system considering the elevation of inner rotor was established, and the dynamic equation of the dual-rotor system was obtained. Finally, the Newmark-β method was used to solve the dynamic equation and the effects of the bearing elevation on the dynamic characteristics of the rotor system was analyzed. In order to verify the simulation results, a dual-rotor test bench was built, and the experimental results were compared with the simulation results. The results show that the additional load of the bearing will be caused by the elevation misalignment, and the additional load will change linearly with the elevation. The additional bearing load causes static deformation of the inner rotor. The unbalanced response under the elevation misalignment condition not only causes the inner and outer rotor to vibrate at one time frequency, but also arouses the natural frequencies in both the forward precession and the backward precession. As a result, the vibration spectrum of the dual rotor bearing system becomes more complex.
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Key words:
- aero-engine /
- dual-rotor-bearing system /
- bearing elevation /
- misalignment /
- spectrum analysis /
- Newmark-β method
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图 1 内转子三点支承的双转子结构示意图[34]
图 2 某型航空发动机内转子支承结构[24]
图 3 联轴器结构示意图[26]
表 1 节点位置
节点 位置/m 备注 节点 位置/m 备注 1 0.000 轴承1 14 0.965 2 0.043 15 1.010 轴承3 3 0.083 盘1 16 1.098 4 0.123 17 0.415 5 0.164 盘2 18 0.440 轴承4 6 0.204 19 0.490 7 0.260 轴承2 20 0.548 盘4 8 0.380 21 0.636 9 0.500 22 0.724 盘5 10 0.620 23 0.792 11 0.740 24 0.860 轴承5 12 0.860 轴承5 25 0.885 13 0.925 盘3 表 2 轴承型号及支承刚度
轴承 型号 Kxx/(N·m-1) Kyy/(N·m-1) 1 NU1013 2.5×105 2.5×105 2 7013AC 15.0×105 15.0×105 3 NU1013 15.0×105 15.0×105 4 7013AC 2.5×105 2.5×105 5 NU1013 25.1×105 25.1×105 表 3 配重盘参数
外径/m 内径/m 厚度/m 密度/(kg·m-3) 0.240 0.070 0.038 7 850 -
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