摄动法在液压系统建模与分析中的应用

Aplication of perturbation method to modeling and analyzing hydraulic system

本文使用摄动法,给出了一类状态方程中含有小参数ε影响的液压系统模型简化降价方法,另外针对液压系统计算机动态仿真分析中的算法病态问题(stiff problem),给出了基于奇异摄动的边界层校正法和时标分离算法。通过对几个实例的分析,验证了上述算法是正确和有效的。

A method of simplified reduction of order in a type of state equation is given for hydraulic system model with a small parameter ε by using perturbation method. And boundary layer correction method and time seperation algorithm based on singular perturbation are also given for stiff problem of the algorithm in dynamic simulation analysis of hydraulic system with a computer. The analyses of several examples verify that above mentioned algorithm is correct and effective.