求解两端固定弦的强迫振动问题的3种方法

徐丽; 张开军

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上海电力大学学报:2008,24(2):195-198

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求解两端固定弦的强迫振动问题的3种方法

徐丽, 张开军

(上海电力学院数理系, 上海 200092)

Three Methods of Solving Forced Oscillation Equation with Fixation Boundary

XU Li, ZHANG Kai-jun

(Dept. of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China)

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投稿时间：2008-03-07

中文摘要: 针对两端固定弦的强迫振动问题,给出了冲量定理法、按相应齐次问题的本征函数展开法、方程和边界条件同时齐次化法等3种不同的求解方法.并介绍了应用上述3种方法的基本思路和适用条件.

中文关键词: 波动方程冲量定理齐次化本征函数

Abstract:Three methods are introduced to solve the problem of forced oscillation equation with fixation boundary. They are impulse theory method, evolvement on eigenfunction of corresponding homogenized equation, homogenized solution of equation and boundary conditions. The reason for the application of these methods and the time to use them are proposed.

keywords: wave equation impulse theory homogenization eigenfunction

文章编号：20080225 中图分类号： 文献标志码：

基金项目:

作者	单位
徐丽	上海电力学院数理系, 上海 200092
张开军	上海电力学院数理系, 上海 200092

Author Name	Affiliation
XU Li	Dept. of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China
ZHANG Kai-jun	Dept. of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China

引用文本：
徐丽,张开军.求解两端固定弦的强迫振动问题的3种方法[J].上海电力大学学报,2008,24(2):195-198.
XU Li,ZHANG Kai-jun.Three Methods of Solving Forced Oscillation Equation with Fixation Boundary[J].Journal of Shanghai University of Electric Power,2008,24(2):195-198.