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Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received June 4, 2003
Accepted October 13, 2003

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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The Sensitivity and Stability of Spinning Process Using Frequency Response Method

Hyun Wook Jung Joo Sung Lee L. E. Scriven¹ Jae Chun Hyun^†

Department of Chemical and Biological Engineering, Applied Rheology Center, Korea University, Seoul 136-701, Korea ¹Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455, USA

Korean Journal of Chemical Engineering, January 2004, 21(1), 20-26(7), 10.1007/BF02705376

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Abstract

The sensitivity and stability by frequency response of the final filament to several sinusoidal disturbances have been investigated in viscoelastic spinning by using various novel numerical algorithms. Amplitudes, or gains of the spinline cross-sectional area at the take-up, show resonant peaks, which are frequently encountered in hyperbolic systems. To effectively solve the complex system of the frequency response equation, alternative ways have been performed and compared. Interestingly, in the one-dimensional systems considered, integrating the linearized equations over the spinline length to shoot at the take-up boundary condition using two initial guesses (“two-shot” method) proved far more efficient than modal analysis using eigenfunction data or solving the matrix problem from the entire length by a direct method or an iterative one (GMRES). Also, the methodology to determine the stability of the system by using frequency response data, as suggested in Kase and Araki [1982], has been revamped to viscoelastic spinning system.

Keywords

Frequency Response Sensitivity Stability Viscoelastic Spinning Modal Analysis Iterative Method (GMRES) Two-shot Method Direct Method

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