灰箱等价系统及解析解

A Grey Box Equivalent System and the Analytic Solution

本文提出了一种计算扭转振动的新算法.把扭转振动系统置于灰箱中,并不断移动灰箱窗口,从而把多自由度系统化为多个单自由度系统来处理.文中利用该方法推导出了四个自由度和五个自由度系统的解析解,并给出了五个自由度系统的计算实例,

A new method for calculating the torsional vibration is proposed. A system with multiple degrees of freedom is treated as many one degree of freedom systems by putting the torsional vibration system into a grey box and continuously moving the window of the box. The rate of convergence of the method is fast. The analytic solutions for both four and five degrees of freedom have been derived against the current situation of only three degrees of freedom for an analytic solution.