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1982年春,在应用微分算子法和模态分析法等计算中板轧机主传动系统扭转振动固有频率和扭振扭矩放大系数时,发现前苏联学者斯.恩.科茹夫尼科夫《带弹性键环机械动力学》中,应用微分算子法求解系统扭振动态响应有错误,计算结果与模态分析法、拉氏变换法等不同。在本论文中,提出微分算子法解常系数非齐次线性微分方程组的一种新解法并结合实例进行具体计算。虽然微分算子法较复杂,但它的结果较为清晰,能对各参数的影响进行分析,由此可研究采取相应的对策,较其它的方法有独特的优点。
In the spring of 1982, when using the differential operator method and the modal analysis method to calculate the torsional vibration natural frequency and torsional vibration torque magnification factor of the main drive system of the plate mill, it was found that the former Soviet scholar 斯恩恩科茹夫nikov belt Elastic ring mechanical dynamics ", the application of differential operator method to solve the system torsional vibration dynamic response is wrong, the calculation results and the modal analysis, Laplace transform method is different. In this dissertation, a new solution of differential operator method for solving constant coefficient nonhomogeneous linear differential equations is proposed and calculated with examples. Although the differential operator method is more complicated, its result is clearer and the influence of each parameter can be analyzed. Therefore, corresponding countermeasures can be studied and studied, which has unique advantages over other methods.