| 修正渐近解在力学中的应用 |
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| 引用本文： | 李敏.修正渐近解在力学中的应用[J].湖南文理学院学报(自然科学版),2002,14(2):13-16. |
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| 作者姓名： | 李敏 |
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| 作者单位： | 华中科技大学材料学院 湖北武汉430074 |
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| 基金项目： | 湖南省自然科学基金资助项目 ( 0 0JJY2 0 114 ) |
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| 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 .
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| 关 键 词： | 二阶线性方程 修正渐近解 力学 |
| 文章编号： | 1009-3818(2002)02-0013-04 |
| 修稿时间： | 2002年1月3日 |
APPLICATIONS OF THE AMENDED ASYMPTOTIC SOLUTION FOR A CALSS OF SECOND ORDERS LINEAR EQUATIONS IN MECHANICS |
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| LI Min.APPLICATIONS OF THE AMENDED ASYMPTOTIC SOLUTION FOR A CALSS OF SECOND ORDERS LINEAR EQUATIONS IN MECHANICS[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2002,14(2):13-16. |
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| Authors: | LI Min |
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| Abstract: | 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. |
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| Keywords: | Second orders linear equation Amended asymptotic solution Mechanics |
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