二阶系统数值解耦研究

Research on Numerical Decoupling of Second Order System

二阶运动系统互相耦合形成一个非常复杂的线性运动系统,对其精确解耦需要求解一个含有8n2个未知数的非线性方程组,这样的工作是非常复杂的。本文的主要工作是将二阶运动的解耦转化为一个非线性优化问题,建立二阶运动系统数值解耦的目标函数及约束条件,并且通过数值试验验证了此方法对二阶运动系统的数值解耦是有效的。

The intercoupling of second order motion system is a very complicated linear motion system,and its precise decoupling needs to solve an nonlinear equation containing 8n2 unknown numbers.This work is very complicated.The main job of this paper is to transform the decoupling of second order motion into a nonlinear optimization problem,and establish objective function and constraint condition of numerical decoupling of second motion system.By numerical experiments,we prove that this method is effective for the numerical decoupling of second order motion system.