Vibrating string with a variable length

被引：0
作者：
Megueni, Abdelkader [1 ,3 ]
Gaffour, Lakhdar [2 ]
机构：
[1] Department of Mechanics, Faculty of Engineering, University of Sidi-Bel-Abbes
[2] Institute of Physics, University of Sidi-Bel-Abbes
来源：
International Journal of Acoustics and Vibrations | 2004年 / 9卷 / 01期
关键词：
D O I：
10.20855/ijav.2004.9.1153
中图分类号：
学科分类号：
摘要：
The propagation of waves in a string with stationary boundary conditions is well known. The transverse vibrations of a string where one extremity is moving with a prescribed motion is considered. We cannot apply the method of separation of variables. This method leads to very complex equations. A solution developed previously by L. Gaffour is introduced in this study.1 The solution for the case of a string with a time-varying length with appropriate boundary conditions is examined. This solution is exact and is expressed in terms of functional Fourier series. It is developed for the linear motion of the extremity of the string. The modes of vibrations and the energy ratio are formulated in a precise way. The curves of eigenmodes, energy ratio, and energy are presented.
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页码：17 / 22+43
相关论文
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