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根据转子非线性振动的力学性质及大变形假设,结合工程实际构建了转子非线性振动具有Duffing方程形式的力学模型,推导了非线性系统的等效频率和频响方程,研究了刚度元件、阻尼元件与非线性元件对系统振动的影响.通过单圆盘转子非线性振动实验,验证了非线性振动模型结构与Duffing方程求解及频响方程的合理性与有效性,揭示了共振、突变、滞后等非线性现象的机理,为转子振动特性分析提供了一种新的研究方法.
According to the mechanical properties of the nonlinear vibration of the rotor and the assumption of large deformation, the mechanical model of the nonlinear vibration of the rotor with the form of Duffing equation is constructed according to the engineering practice. The equivalent frequency and the frequency response equation of the nonlinear system are deduced. Components and nonlinear components on the vibration of the system.According to the nonlinear vibration experiment of the single disc rotor, the rationality and validity of the nonlinear vibration model and the Duffing equation and the frequency response equation are verified, and the resonance, mutation and hysteresis And other non-linear mechanism of the phenomenon of vibration characteristics of the rotor provides a new method of research.