Skip to main content
SpringerLink
Log in

Analysis of the dimensionless torque in cone drum false twisting mechanism

  • Published:
Fibers and Polymers Aims and scope Submit manuscript

Abstract

An investigation of the dimensionless torque in the newly developed cone drum twister texturing mechanism is reported. The cone drum twister is one of the outer surface contacting friction-twisting devices in false-twist texturing. In this cone drum twister, a filament yarn passes over the surface of the cone drum that rotates by the passing yarn without a special driving device. This research is composed of the theoretical analysis of the false twisting mechanism and the experimental analysis at room temperature. The equations have been derived which shows interrelationship of the conical angle of cone drum, the wrapping angle, the drag angle, and the yarn helix angle. Theoretical values of dimensionless torque were calculated and were compared with the experimental results. It is shown that, as the conical angle and the projected wrapping angle increased, the dimensionless torque also increased. But the conical angle was reached to 30.75°, the dimensionless torque decreased.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

α :

Angle betweenob andop in the opening out diagram

α c :

Conical angle of cone drum

α o :

Angle betweenob andoc in the opening out diagram

β :

Angle between the yarn axis and the cone drum axis

δ :

Angle between the drag velocity and the filament yarn axis

ζ :

Drag velocity of the friction surface relative to the yarn surface

θ :

Surface helix angle of the filament yarn in twisting zone

λ :

Angle betweenob andoo′

μ :

Friction coefficient

ξ :

Angle of wrap(bp region) on the friction surface as seen perpendicular to theyz plane

ξ*:

Angle of wrap(bc region) on the friction surface as seen perpendicular to theyz plane

φ :

Angle between the filament yarn axis and the direction of friction surface movement

χ :

True angle of wrap

Ψ :

Angle between tangent at pointp and tangent at pointp′ as seen perpendicular to theyz plane

ω :

Angular velocity of cone drum [rad/sec]

A :

Length ofoo′ [mm]

B :

Length ofbo′ [mm]

b :

Beginning point of false twist inserting

C 1 :

A sin(α c2) [mm]

C 2 :

sin(α c2)

c :

End point of false twist inserting

D :

Velocity of friction surface [mm/sec]

D b :

Velocity of friction surface at pointb [mm/sec]

D c :

Velocity of friction surface at pointc [mm/sec]

ē :

Mean length of filaments in the lengthh of twisted yarn [mm]

h :

Length of one turn of twist [mm]

K :

Ratio of cone drum surface speed to forward yarn speed(=D/V 1)

l :

Length of filament yarn in twisting zone,bc [mm]

l o :

Length ofbc in the flat drum [mm]

N :

Normal force of the filament yarn on the surface of drum [g f]

n :

Number of filaments crossing unit area perpendicular to the filament axis

p :

Any point on the linebc

Q :

Torque supplied to the filament yarn in twisting zone,bc [g f · mm]

R :

Radius of the filament yarn [mm]

r :

Cone drum radius at any point [mm]

r b :

Cone drum radius at pointb [mm]

r c :

Cone drum radius at pointc [mm]

r d :

Radius of the stud of cone drum [mm]

s :

Length ofbp [mm]

T :

Yarn tension [g f]

T 1 :

Output tension at pointc [g f]

T 2 :

Input tension at pointb [g f]

V o :

Forward velocity of the zero twist filament yarn [mm/sec]

V 1 :

Forward velocity of the twisted filament yarn in twisting zone [mm/sec]

V 2 :

Circumferential velocity resulting from twisting of filament yarn in twisting zone [mm/sec]

V i :

Forward velocity of the filament yarn containing the twist angle,θi [mm/sec]

V R :

Surface velocity of the twisted filament yarn [mm/sec]

References

  1. T. J. Kang,Text. Res. J.,58, 653 (1988).

    Google Scholar 

  2. J. J. Thwaites,J. Textile Inst.,76, 157 (1985).

    Google Scholar 

  3. W. J. Morris and M. J. Denton,J. Textile Inst.,66, 123 (1975).

    Google Scholar 

  4. H. G. Howell,J. Textile Inst.,44, T359 (1953).

    Google Scholar 

  5. J. J. Theaites,J. Textile Inst.,75, 285 (1984).

    Google Scholar 

  6. M. J. Denton,J. Textile Inst.,66, 80 (1975).

    Article  Google Scholar 

  7. C. G. Lee, Ph. D. Dissertation, Seoul National University Seoul, 1993.

    Google Scholar 

  8. C. G. Lee and T. J. Kang,J. Kor. Fiber Soc.,33, 248 (1996).

    CAS  Google Scholar 

  9. C. G. Lee and T. J Kang,J. Kor. Fiber Soc.,33, 393 (1996).

    CAS  Google Scholar 

  10. C. G. Lee,J. Kor. Fiber Soc.,32, 621 (1995).

    Google Scholar 

  11. C. G. Lee,J. Kor. Soc. Cloth.. Ind.,2, 443 (2000).

    Google Scholar 

  12. C. G. Lee,J. Kor. Soc. Cloth.. Ind.,3, 473 (2001).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Textile and Fashion Technology, College of Engineering, Kyungil University, 712-701, Kyungsan, Korea

    Choon Gil Lee & Tae Jin Kang

  2. School of Materials Science and Engineering, Seoul National University, 151-742, Seoul, Korea

    Tae Jin Kang

Authors
  1. Choon Gil Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tae Jin Kang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Choon Gil Lee.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lee, C.G., Kang, T.J. Analysis of the dimensionless torque in cone drum false twisting mechanism. Fibers Polym 4, 161–168 (2003). https://doi.org/10.1007/BF02908273

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02908273

Keywords

Search

Navigation