Mathematical Model for Yarn Unwinding Part ΙΙ: Conic Packages

Stanislav Praček; Franci Sluga; Klemen Možina

doi:10.4028/www.scientific.net/AMR.403-408.5136

Paper Titles

TRIZ Theory in the Application of Vacuum Circuit Breaker Improvement
p.5117

Automatic Recognition of Basal Cisterns on Brain CT
p.5121

Dynamics Simulation of Automatic Capsule Filling Machine with ADAMS
p.5126

Mathematical Model for Yarn Unwinding Part Ι: Cylindrical Packages
p.5131

Mathematical Model for Yarn Unwinding Part ΙΙ: Conic Packages
p.5136

Optimal Sequence of Multiple Jeeps Problems
p.5142

Integrated Learning Courses and Library Resources with Personal Knowledge Map
p.5146

A Portable Method to Improve the Performance of Commodity Servers for Massive Data Delivery
p.5150

Study about the Hierarchical Effectiveness of Henan Regional Investment
p.5155

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 403-408Mathematical Model for Yarn Unwinding Part ΙΙ:...

Mathematical Model for Yarn Unwinding Part ΙΙ: Conic Packages

Abstract:

Mathematical modeling can be used to simulate the unwinding of yarn from packages of different shapes. This method can be applied to design packages that can sustain high unwinding velocities at low and steady tension in the yarn. In the case of conic packages the angular velocity of unwinding depends not only on the winding angle as is the case for cylindric packages, but also on the apex angle. We will show that the dimensionless angular velocity depends very little on the apex angle. The apex angle, however, also determines the effective radius of the package at the lift-off point, therefore the angular velocity can be proportionally higher. We will compare unwinding from a cylindrical and a conic package with equal smallest radius and show that unwinding from the conic package is faster due to higher average radius of the package at the lift-off point.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 403-408)

Pages:

5136-5141

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.403-408.5136

Citation:

Cite this paper

Online since:

November 2011

Authors:

Stanislav Praček, Franci Sluga, Klemen Možina

Keywords:

Balloon Theory, Conic Packages, Mathematical Models of Yarn Packages, Winding Angle, Yarn Tension

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] Kong, X. M., Rahn, C. D., Goswami, B. C. (1999). Steady-state unwinding of yarn from cylindrical packages. Text. Res. J., 69, 4, 292-306.

DOI: 10.1177/004051759906900409

Google Scholar

[2] Fraser, W. B., Ghosh, T. K., Batra, S. K. (1992). On unwinding yarn from cylindrical package. Proc. R. Soc. Lond. A, 436 479-498.

DOI: 10.1098/rspa.1992.0030

Google Scholar

[3] Padfielf,D. G (1956). A note on fluctuations of tension during unwinding.J. Text. Inst 47 301-308.

Google Scholar

[4] Padfield, D. G. (1958). The Motion and Tension of an Unwinding Thread. Proc. R. Soc., vol. A245, 382-407.

Google Scholar

[5] Stanislav Praček in Danilo Jakšić. Teorija odvijanja preje z navitka - Izpeljava gibalnih enačb. Tekstilec, 45(5-6) 119, (2002).

Google Scholar

[6] Stanislav Praček in Danilo Jakšić. Teorija odvijanja preje z navitka - Robni pogoji in sila zraËnega upora. Tekstilec, 45(7-8) 175, (2002).

Google Scholar

[7] W. H. Press, S. A. Teukolsky, W. T. Vetterling, in B. P. Flannery. Numerical Recipes in C: The Art of Scientific Computing. Cambridge University Press, druga izdaja, (1992).

DOI: 10.1086/416228

Google Scholar