On the forced vibration of the fiber partially immersed in fluid
โ Scribed by Alexander I. Fedorchenko; Ivo Stachiv; Joe N. Ho; A.-Bang Wang; W.-Chih Wang
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 392 KB
- Volume
- 147
- Category
- Article
- ISSN
- 0924-4247
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โฆ Synopsis
In this paper an experimental and theoretical investigation of the forced vibration of a partially immersed fiber has been carried out. An optical method utilizing a forward light scattering pattern has been used to detect a small (<1.0 m) vibration amplitude of the fiber. The physical and mathematical model of the partially immersed fiber vibration has been put forward. Based on an analytical solution of the model, natural frequencies of the partially immersed fiber vibration have been found; they are consecutive positive roots of the transcendental equation. An "effective" speed of the wave propagation over the fiber has been introduced, which allows one to find the physical meaning of normal modes of the partially immersed fiber vibration. Theoretical predictions agree well with experimental data. The sensor exhibits an excellent sensitivity and could be used for measuring physical properties of fluids and liquid level.
๐ SIMILAR VOLUMES
Free vibrations of circular cylindrical shells and tubes completely ยฎlled with a dense ยฏuid and partially immersed in a dierent ยฏuid (liquid) having a free surface are studied. Elastic shell constraints, varying from simply supported to clamped ends are assumed. Fluids are assumed to be stationary,
The governing differential equations of motion are derived for the partial-interaction composite members with axial force and the solutions of free vibrations are presented under common boundary conditions. An exact analytical solution for a simply supported case is obtained. If the slip at the inte