轴系非线性振动解析模型研究

伍敏; 韩东江; 杨晟博; 杨金福

doi:10.13224/j.cnki.jasp.2017.04.006

轴系非线性振动解析模型研究

doi: 10.13224/j.cnki.jasp.2017.04.006

1.
哈尔滨工业大学能源科学与工程学院，哈尔滨 150001
2.
中国科学院工程热物理研究所，北京 100190

基金项目: 微型移动式燃气轮机冷热电联供技术及示范项目（2012BAA11B02）

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出版历程
- 收稿日期: 2016-02-23
- 刊出日期: 2017-04-28

Research on nonlinear vibration analytical model of rotor-system

摘要

摘要: 针对高速柔性轴系振动中线性与非线性的耦合作用，定义了非线性尺度因子ε，构建了轴系振动耦合作用模型.该模型拓展了经典线性模型的研究思路，重点探讨轴系的非线性响应.应用多尺度法推导了转子非线性振动的通频解析解的Fourier级数形式，同时给出了非线性固有频率和基频近似频响方程（FRE）.通过实验验证了同尺度条件下（ε=1），通频解析解及基频近似频响方程的非线性特性，以及解析耦合振动模型与通频解析解的合理性和有效性.
- 高速柔性轴系 /
- 解析耦合振动模型 /
- 非线性尺度因子 /
- 频响方程(FRE) /
- 非线性振动
Abstract: An analytical vibration model was proposed to analyze a series of typical nonlinear behaviors of flexible rotor-system, such as resonance and oscillation coursed by couple interaction between linear and nonlinear forces during the speeding-up process. By introducing a nonlinear scaling factor ε, the model mainly probed into nonlinear response characteristics. Multi-scale method was applied to deduce the analytical pass-band solution of nonlinear rotor-vibration as a Fourier series form, and then obtain the nonlinear natural frequency and the fundamental-frequency frequency-response equation (FRE). A confirmatory experiment was made to verify the nonlinear characteristics of the analytical pass-band solution and the fundamental-frequency FRE under equal-scale condition (ε=1), and also verify the rationality and effectiveness of the analytical couple-vibration model and the analytical pass-bomd solution.
- high-speed flexible rotor-system /
- analytical couple-vibration model /
- nonlinear scaling factor /
- frequency response equation(FRE) /
- nonlinear vibration

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参考文献(19)

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