摘要
采用修正渐近法研究了在力学中应用范围比较广泛的一类具有变系数二阶线性齐次方程 ,并求得了其修正渐进解。介绍了具有变系数二阶线性齐次方程修正渐近解在力学中的应用 ,同时 ,通过实例计算证实了该修正渐近法不但计算过程简便而且计算精度也高 .
A class of second orders homogeneous equations with varied coefficient widely applied in mechanics were studied using the amended asymptotic method,and the amended asymptotic solution was derived.The applications of this solution in mechanics were given by actual examples.It was verified that this solution applied in mechanics calculation was simple and highly precise.
基金
湖南省自然科学基金资助项目 ( 0 0JJY2 0 114 )
关键词
修正渐近解
力学
二阶线性方程
Second orders linear equation
Amended asymptotic solution
Mechanics
