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A geometric approach for filament winding pattern generation and study of the influence of the slippage coefficient

  • I. H. Dalibor
  • T. V. LisbôaEmail author
  • R. J. Marczak
  • S. C. Amico
Technical Paper
  • 42 Downloads

Abstract

A special feature of the Filament Winding (FW) process is known as pattern: diamond-shaped mosaic that results from the sequence of movements of the mandrel and tow delivery eye. One of the main factors to generate different patterns is the return path of the tow and, for a non-geodesic trajectory, the path depends on the friction between tow and mandrel. Aiming at a practical description of the FW process, a novel geometric approach on pattern construction is presented. Pattern generation, skip configurations and definitions of geodesic and non-geodesic trajectories in regular winding and return regions are described based on developed surfaces, residue classes and modular arithmetic. The influence of mandrel’s length, mandrel’s rotation angle and variation of the winding angle in the return region are presented, for they are important parameters of the process. Examples of winding angle, mandrel rotation and non-geodesic path in cylindrical and non-cylindrical surfaces of revolution are shown and discussed.

Keywords

Filament winding Slippage coefficient on return path Geodesic and non-geodesic trajectories Geometric based pattern generation 

Notes

Acknowledgements

The authors would like to thank CAPES (Project Nos. 1303477 and 88881.198774/2018-1), CNPq (Project Nos. 310649 and 424426/2016-1), FAPERGS (Project Nos. 17/2551-0001188-0) and, DAAD (Project No. 57447163) for financial support.

References

  1. 1.
    Johansen BS, Lystrup A, Jensen MT (1998) Cadpath: a complete program for the cad-, cae- and cam-winding of advanced fibre composites. J Mater Process Technol 77(1–3):194–200CrossRefGoogle Scholar
  2. 2.
    Trajkovski D (2003) Kinematic analysis of trajectory generation algorithms for filament winding machines. In: Proceedings of 11th world congress in mechanism and machine scienceGoogle Scholar
  3. 3.
    Zu L, He QX, Ni QQ (2007) Pattern design for non-geodesic winding toroidal pressure vessels. In: Proceedings of 16th international conference on composite materialsGoogle Scholar
  4. 4.
    Sun J, Xiao Q (2012) Study on winding pattern and undulation degree of filament-wound composite tube. Adv Mater Res 341–342:281–285Google Scholar
  5. 5.
    Sorrentino L, Polini W, Carrino L, Anamateros E, Paris G (2008) Robotized filament winding of full section parts: comparison between two winding trajectory planning rules. Adv Compos Mater 17(1):1–23CrossRefGoogle Scholar
  6. 6.
    Rousseau J, Perreux D, Verdière N (1999) The influence of winding patterns on the damage behaviour of filament-wound pipes. Compos Sci Technol 59(9):1439–1449CrossRefGoogle Scholar
  7. 7.
    Morozov E (2006) The effect of filament-winding mosaic patterns on the strength of thin walled composite shells. Compos Struct 76(1–2):123–129CrossRefGoogle Scholar
  8. 8.
    Zakrzhevskii AM, Khitrov VV (1989) Effect of interweaving on the load-carrying capacity of wound thick-walled rods of composites in torsion. Mech Compos Mater 24(4):516–523CrossRefGoogle Scholar
  9. 9.
    Hahn H, Jensen DW, Claus SJ, Pai S, Hipp PA (1995) Structural design criteria for filament wound composite shells. NASA Technical Reports, University ParkGoogle Scholar
  10. 10.
    Hernández-Moreno H, Douchin B, Collombet F, Choqueuse D, Davies P (2008) Influence of winding pattern on the mechanical behavior of filament wound composite cylinders under external pressure. Compos Sci Technol 68(3–4):1015–1024CrossRefGoogle Scholar
  11. 11.
    Koussios S (2004) Filament Winding: A Unified Approach. IOS Press, AmsterdamGoogle Scholar
  12. 12.
    Beukers A, Koussios S, Bergsma O (2007) Composite pressure vessel design: integral determination of winding patterns. In: Proceedings of 16th international conference on composite materialsGoogle Scholar
  13. 13.
    Lowery PA (1990) Continued fractions and the derivation of uniform-coverage filament winding patterns. SAMPE J 26(5):57–64Google Scholar
  14. 14.
    Liang YD, Luo G (1996) A simple filament winding pattern generation algorithm. Int Smape Tech Conf 28:1027–1039Google Scholar
  15. 15.
    Dolan JM, Khosla P, Talukdar S (1993) Surface-closure algorithms for filament winding of non-axisymmetric cylindrical parts. In: Proceedings of the 25th international SAMPE technical conference, pp 680–691Google Scholar
  16. 16.
    Niven I, Zuckermann H, Montgomery H (1991) An Introduction to the Theory of Numbers. Wiley, New YorkGoogle Scholar
  17. 17.
    Vasiliev VV (2009) Composite Pressure Vessels: Analysis, Design and Manufacturing. Bull Rigde Publishing, BlacksburyGoogle Scholar
  18. 18.
    Gray A (1993) Modern Differential Geometry of Curves and Surfaces. CRC Press Inc, Boca RatonzbMATHGoogle Scholar
  19. 19.
    Peters ST (2011) Composite Filament Winding. ASM International, Materials ParkGoogle Scholar
  20. 20.
    Zu L, Koussios S, Beukers A (2010) Design of filament-wound isotensoid pressure vessels with unequal polar openings. Compos Struct 92(9):2307–2313CrossRefGoogle Scholar

Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  1. 1.PPGE3M, Federal University of Rio Grande do SulPorto AlegreBrazil
  2. 2.Mechanics and Composite Materials DepartmentLeibniz-Institut für PolymerforschungDresdenGermany
  3. 3.PROMEC, Federal University of Rio Grande do SulPorto AlegreBrazil

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