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Proceedings Paper

Mathematical model for the dynamics of an optical fiber viscometer
Author(s): Wei-Chih Wang; Joe Ho; Per G. Reinhall
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Paper Abstract

This paper presents the analysis of the modes of a viscometer optical fiber vibration based on a simplified mathematical model. The initial quasilinear equation with discontinuous coefficients, which describes the vibration of an optical fiber partially immersed in liquid, is reduced to the telegraph equation with constant effective coefficients. The form of these coefficients is chosen such a way to capture the most important physics of the immersed fiber's vibration. The subsequent analytical solution of the model in an attempt to give results that accurately follow the trends of experimental results.

Paper Details

Date Published: 15 March 2006
PDF: 11 pages
Proc. SPIE 6177, Health Monitoring and Smart Nondestructive Evaluation of Structural and Biological Systems V, 617711 (15 March 2006); doi: 10.1117/12.657555

Published in SPIE Proceedings Vol. 6177:
Health Monitoring and Smart Nondestructive Evaluation of Structural and Biological Systems V
Tribikram Kundu, Editor(s)

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