阻尼振动的傅里叶分析  

Fourier analysis of damped vibration

作　　者：刘果红[1] 盛守奇[1] 

机构地区：[1]安徽建筑工业学院数理系,合肥230022

出　　处：《安徽建筑工业学院学报（自然科学版）》2005年第2期7-9,共3页Journal of Anhui Institute of Architecture(Natural Science)

摘　　要：实际上的阻尼振动不可能是单一频率的振动,本文对阻尼振动的傅里叶分析,一方面表明了阻尼振动是无穷多个正弦振动和余弦振动所组成,另一方面通过傅里叶强度分析,证明了对固有圆频率ω0相同的不同振动系统,阻尼因子β愈小,单色性就愈好,文章为力学教学提供了一个很好的教学背景。It is not possible for the actral damped vibration to be of a single frequency. In this paper, fourier analysis is made to show that the damped vibration in fact is made through the vibration of Sin. and Cos. On the other hand, by the intensity analysis, it is proved that for the different vibrations with the same intrinsic circumference ratio, the smaller the fourier element, the deeper the single color quality. In this way, this paper provides mechanics teaching with an excellent background.

关 键 词：傅里叶分析 阻尼振动 固有圆频率 正弦振动 强度分析 振动系统 阻尼因子 教学背景 力学教学 无穷多 单色性 

分 类 号：O174.2[理学—数学] O321[理学—基础数学]