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摘要: 提出了一种基于连续梁模型的计算转子支承系统临界转速的方法, 将转轴考虑为等截面自由欧拉梁模型, 轴承对转轴的支承力以及转盘与转轴的作用力均以集中力的形式作用于转轴梁上, 运用模态截断法, 将系统偏微分方程转化为常微分方程组, 运用新型快速显式数值积分方法获取转子系统的响应及其临界转速, 运用ZT-3型多功能转子试验器进行了试验验证。结果表明: 相同参数条件下, 试验临界转速和计算临界转速均在5500r.min-1左右, 表明了计算方法的正确性和有效性。Abstract: A computational method of the critical speed of rotor-bearing system based on the continuous beam model was proposed.Rotor shaft was considered as equisection Euler free beam model.The supporting forces from bearings and the forces between shaft and rotor disks acted on shaft in the form of concentrated force.With modal truncation method, the partial differential equation of the system was transformed into ordinary differential equation set.The system's responses and critical speed were obtained by numerical integral method.ZT-3 type multi-function rotor test rig was used to verify the new method.The calculating critical speed is the same as the actual one, which is about 5 500 r·min-1, so the new method is correct and effective.
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Key words:
- aeroengine /
- rotor-bearing system /
- critical speed /
- continuous beam model /
- modal truncation
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表 1 自由梁函数系数
Table 1. Function coefficients of free beam
n 1 2 3 4 5 ≥6 Cn — — 0.982 502 1.000 777 0.999 966 1.000 000 βnL 0 0 4.730 04 7.853 20 10.995 60 (2n-3) π/2 
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表 2 ZT-3转子试验台主要计算参数
Table 2. Main computational parameters of ZT-3 type rotor test rig
弹性模量E/Pa 截面惯性矩Iy=Iz/m4 密度ρ/ (kg·m-3) 转轴截面积A/m2 线密度ρA/ (kg·m-1) 转盘质量mrp/kg 转轴长度L/m 2.1×1011 3.998×10-10 7.8×103 7.088×10-5 0.554 3 0.6 0.26
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