用级数法求解机组稳态运动方程

Solving the Equation of Motion of Mechanical System under Steady Operating Condition by Means of Series Method

求解稳定运动时期机组的非线性微分运动方程所用的通常积分方法如龙格－库塔法，欧拉法等是费机时的，并且积分步长不能太大，否则解会发散。为了克服这些困难，提出了一种级数求解法。用这种方法，微分方程将变为一组代数方程．它们很容易求解。最后给出了一数值例子。

The general integral methods for solving nonlinear differential equation of motion of mechanical system under steady operating condition, such as Euler's method, Range-Kutta method etc, are time consuming, and also the integral step could not be too large, otherwise the solution will be divergent. For the sake of surmouting these difficulties a series method is presented in this paper. Using this method, the differential equation will be developed into a series of algebraic equations. and they are easy to be solved. A numerical example is given to illustrate this methos.