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利用集中质量建模法建立轧钢机主传动系统扭转振动的力学模型;在考虑阻尼的情况下建立了有阻尼振动的微分方程组。将主传动系统的复模态分析转化为求解非线性广义特征值的问题,在MATLAB中进行了求解;并分析了复模态分量因子分别为复数和实数时,系统各点振动形式的差别。进而利用系统的复模态,将系统在复模态空间进行解耦,获得了解耦的振动方程组,为主传动系统的扭振响应分析提供了基础。
The mechanical model of the torsional vibration of the main drive system of the rolling mill was established by using the centralized mass modeling method. The differential equations with damped vibration were established considering the damping. The complex modal analysis of the main drive system is transformed into the problem of solving generalized nonlinear eigenvalues, which is solved in MATLAB. And the differences of the vibration modes at various points of the system when the complex modal component factors are complex numbers and real numbers respectively are analyzed. Furthermore, the complex mode of the system is used to decouple the system in the complex mode space, and the decoupled vibration equations are obtained, which provides the foundation for the torsional vibration response analysis of the main drive system.