轴系非线性振动解析模型研究

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. 

Research on nonlinear vibration analytical model of rotor-system

An analytical vibration model was proposed to analyze a series of typical non linear 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 passbomd solution.