建立含参激多自由度轧机传动系统非线性扭振动力学模型，通过坐标变换将非线性方程组解耦成独立方程，采用多尺度法得到电机扰动力矩和轧制负载力矩共同作用下非线性系统的幅频响应方程。以某厂1780轧机传动系统为实际算例，将其简化成4自由度非线性扭振模型，通过实际参数分析了非线性刚度、非线性阻尼、接轴倾角、电机扰动力矩以及轧制张力波动对传动系统超谐波共振、亚谐波共振及组合共振幅频特性的影响。用数值仿真与解析结果相比较，验证解析方法的有效性。研究结果为外扰影响下的轧机传动系统扭振特性提供一定的理论指导和参考。
Abstract
Considering the influence caused by the parametric excitation, the nonlinear torsional vibration dynamical equations of the multi-dof rolling mill’s main drive system were established. To analyzing the coupled equations by analytic method, the equations were decoupled by transforming them into principal coordinates. The amplitude-frequency characteristic equation was obtained by solving the dynamical equation using the multi-scale method. Furthermore, numerical example based on the 1780 rolling mill of some Steel Co. rolling mill’s main drive system was given to illustrate the effects of the resonance on the response of the system. It exhibits many changes of the relationships of super-harmonic resonance, sub-harmonic resonance, and combination resonance between amplitude and frequency under the changes of parameters like nonlinear stiffness, nonlinear friction damping, joint angle, torque disturbance and rolling tension. The numerical simulation indicated that the analytic method is valid with the comparison between the numerical method and the multi-scale method. The research results provide theory basis and reference for analyzing torsional vibration of rolling mill’s transmission system caused by out disturbance.
关键词
多自由度
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轧机传动系统 /
张力波动 /
组合共振
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Key words
Multiple degree of freedom /
Main drive system of rolling mill /
rolling tension fluctuation /
combination resonance
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参考文献
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