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一、前言 近十来,液压技术的一个引人注目的研究倾向是利用计算机进行分析和仿真,其中大量的研究是围绕动态特性进行的。液压系统动态分析和仿真的问题一般归结到数值求解一阶常微分方程组的初值问题。它的规范形式是X=F(x,t),X(t_0)=X_0。在许多液压初值问题中,运用目前沿用的经典数值解法,如Euler、Runge-Kutta和Adams等方法时,常常发现为使求解过程稳定,步长不得不被限制得非常小,需要大量的计算步数,造成计算时间很长,甚至为实际所不允许。
I. INTRODUCTION In the recent ten years, a compelling research trend of hydraulic technology is to use computers for analysis and simulation. A large number of researches focus on the dynamic characteristics. The problem of dynamic analysis and simulation of hydraulic system generally comes down to the initial value problem of first-order ordinary differential equations. Its canonical form is X = F (x, t), X (t_0) = X_0. In many initial problems of hydraulic pressure, it is often found that in order to stabilize the solution process and the step size has to be limited to a very small size, a large amount of calculation is often required when using the classical numerical solutions such as Euler, Runge-Kutta and Adams, The number of steps, resulting in a long calculation time, even for the actual not allowed.