齿轮系统动力学微分方程的数值分析方法  

The numerical analysis method for solving dynamics differential equations of gear systems

作　　者：邹英永[1] 李振华[2] 赵凯[3] 

机构地区：[1]长春大学科研处,吉林长春130022 [2]吉林省白石山林业局,吉林蛟河132511 [3]空军航空大学航空理论系,吉林长春130022

出　　处：《长春大学学报》2009年第8期1-3,共3页Journal of Changchun University

基　　金：吉林省教育厅十一五规划项目(吉教科合字[2007]第189号)

摘　　要：由于描述齿轮系统非线性振动的动力学微分方程十分复杂,要直接求得其精确的解析解是非常困难的。本文基于Gear方法对齿轮系统非线性动力学微分方程进行了数值计算分析。通过计算表明,Gear算法具有良好的通用性,尤其适用于求解大型微分方程组。本文最后给出了Gear算法的实例和计算结果。It＇s very difficult to obtain perfect analytical solution to dynamics differential equations of gear systems. Based on GEAR method ,this paper presents the numerical calculation method for solving dynamics differential equations of gear systems. Numerical calculation results prove that GEAR method can be used to solve all kinds of differential equations, especially for large differential equations. The numerical examples and the calculating results of GEAR method have been given in this paper finally.

关 键 词：齿轮系统 非线性振动 Gear方法 数值计算 

分 类 号：TH132.41[机械工程—机械制造及自动化]