Differential equations for velocity components in fibre spinning process

AbstractSpider silk attracts researchers from the most diverse fields, such as material science or medicine. However, still little is known about silk aside from its molecular structure and material strength. Spiders produce many different silks and even join several silk types to one functional unit. In cribellate spiders, a complex multi-fibre system with up to six different silks affects the adherence to the prey. The assembly of these cribellate capture threads influences the mechanical properties as each fibre type absorbs forces specifically. For the interplay of fibres, spinnerets have to move spatially and come into contact with each other at specific points in time. However, spinneret kinematics are not well described though highly sophisticated movements are performed which are in no way inferior to the movements of other flexible appendages. We describe here the kinematics for the spinnerets involved in the cribellate spinning process of the grey house spider, Badumna longinqua, as an example of spinneret kinematics in general. With this information, we set a basis for understanding spinneret kinematics in other spinning processes of spiders and additionally provide inspiration for biomimetic multiple fibre spinning.

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Mechanical aspects of fibre spinning process in molten polymers

Colloid & Polymer Science ◽

10.1007/bf01520042 ◽

1960 ◽

Vol 171 (2) ◽

pp. 111-119 ◽

Cited By ~ 25

Author(s):

Andrzej Ziabicki ◽

Krystyna Kedzierska

Keyword(s):

Spinning Process ◽

Fibre Spinning ◽

Molten Polymers

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Non-contact detection of polyester filament yarn tension in the spinning process by the laser Doppler vibrometer method

Textile Research Journal ◽

10.1177/00405175211034246 ◽

2021 ◽

pp. 004051752110342

Author(s):

Dongjian Zhang ◽

Qihua Ma ◽

Yuan Tan ◽

He Liao ◽

Chenhui Lu ◽

...

Keyword(s):

Differential Equations ◽

Natural Frequencies ◽

Laser Doppler Vibrometer ◽

String Model ◽

Contact Detection ◽

Polyester Filament ◽

Axially Moving String ◽

Spinning Process ◽

Polyester Filament Yarn ◽

Axially Moving

The precise detection of polyester filament yarn (PFY) tension in the spinning process is critical to ensure product quality. The laser Doppler vibrometer (LDV) method is proposed to achieve non-contact detection of PFY tension in this paper. By employing the Hamilton principle, the transverse dynamics differential equations of PFY are derived, which are discretized and solved by the Galerkin method and Runge–Kutta method, respectively. In the equations, the PFY between two adjacent rollers is simplified as an axially moving string to verify the generality of calculating natural frequencies. The calculated natural frequencies from the axially moving string model are compared with solved results from the transverse dynamics differential equations. It is shown that the approximation of natural frequencies can be obtained from the axially moving string model. This study attempts to establish an approximate generic model among the PFY tension, the spinning speed and the first natural frequency based on axially moving string model, from which the PFY tension can be calculated efficiently by employing the measured natural frequencies. The LDV method is used to measure the natural frequencies. A major advantage of the proposed method is to realize non-contact detection of PFY tension. The method is more useful under high-speed spinning conditions where contact tension detectors are not available. An experimental analysis is carried out to verify the effectiveness and accuracy of the proposed method. Therefore, it is believed that the non-contact detection of PFY tension in the spinning process by the LDV method is feasible.

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Mechanical aspects of fibre spinning process in molten polymers

Colloid & Polymer Science ◽

10.1007/bf01520108 ◽

1961 ◽

Vol 175 (1) ◽

pp. 14-27 ◽

Cited By ~ 38

Author(s):

Andrzej Ziabicki

Keyword(s):

Spinning Process ◽

Fibre Spinning ◽

Molten Polymers

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Dependence of acetate fibre spinning process on the form and disposition of the spinneret holes

Fibre Chemistry ◽

10.1007/bf00552561 ◽

1982 ◽

Vol 13 (4) ◽

pp. 241-243

Author(s):

Kh. U. Makhsudkhanov ◽

L. K. Askarkhodzhaeva ◽

M. T. Primkulov ◽

T. I. Ryabinina ◽

Z. D. Tul'guk ◽

...

Keyword(s):

Acetate Fibre ◽

Spinning Process ◽

Fibre Spinning

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Dependence of acetate fibre spinning process on the form and disposition of the spinneret holes

Fibre Chemistry ◽

10.1007/bf02396540 ◽

1981 ◽

Vol 13 (4) ◽

pp. 241-243

Author(s):

Kh. U. Makhsudkhanov ◽

L. K. Askarkhodzhaeva ◽

M. T. Primkulov ◽

T. I. Ryabinina ◽

Z. D. Tul'guk ◽

...

Keyword(s):

Acetate Fibre ◽

Spinning Process ◽

Fibre Spinning

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Monitoring System for the Formation Process Line of PAN Composite Fibres

Fibres and Textiles in Eastern Europe ◽

10.5604/01.3001.0013.5855 ◽

2020 ◽

Vol 28 (1(139)) ◽

pp. 26-35

Author(s):

Iwona Karbownik ◽

Tomasz Rybicki

Keyword(s):

Monitoring System ◽

Process Parameters ◽

Measurement Data ◽

Digital Data ◽

Practical Implementation ◽

Triphenyltetrazolium Chloride ◽

Specific Strength ◽

Spinning Process ◽

Fibre Spinning ◽

Process Line

The aim and scope of this work included the design and practical implementation of a digital monitoring system for the polyacrylonitrile (PAN) fibre spinning process line used for the creation of different PAN based fibres doped with silver (Ag), polyaniline (PANI), carbon nanotubes (CNT) and 2,3,5-triphenyltetrazolium chloride (TTC). After the collecting and processing of process parameters, including bath temperatures and the rotational speed of the feeding-receiving points, available in the form of digital data, they were compared with the appearance of fibres obtained (their surface structure and cross-section shape) and with the results of the fibre specific strength (WtP). Archiving of speed and temperature measurement data allowed to create a database combining the process parameters with the parameters of the fibres obtained. Online monitoring of the parameters enabled programmable change of the speed and temperature in important parts of the process in order to develop appropriate production profiles.

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