Mathematical Modeling of Dynamic Yarn Path Considering the Balloon Control Ring and Yarn Elasticity in the Ring Spinning Process Based on the Superconducting Bearing Twisting Element

The yarn tension and balloon form are the most important physical process parameters to characterize the dynamic yarn path in ring spinning. The present research work focuses on the in situ measurement of yarn tension in different regions of the yarn path in a developed turbo ring spinning tester with a friction-free superconducting magnetic bearing (SMB) twisting system and at an angular spindle speed of up to 50,000 rpm. The influence of different parameters, such as angular spindle speeds (15,000–50,000 rpm), yarn counts (15–40 tex) and balloon control ring (one or multiple), were evaluated to identify the influence of acting forces, for example, centrifugal forces. The effects of these process parameters were analyzed statistically using an analysis of variance. The yarn tension between the delivery rollers and the yarn guide was measured using a modified one-roller tensile yarn tension sensor. The yarn tension between the yarn guide and the SMB system was determined with an already existing optical approach at a higher angular spindle speed. As the highest yarn tension theoretically occurs between the SMB system and the cop, it was estimated in this region by measuring the coefficient of friction between the yarn and the yarn guide using the friction module of the constant tension tester equipment. The maximum balloon diameter was determined from the recorded balloon form between the yarn guide and the SMB system with respect to different angular spindle speeds. The results provide valuable information about the highest possible spinnable speed and enable a better understanding of the dynamic yarn path in the SMB spinning system.

Section: Experimental Investigation For the Dynamic Yarn Path In The Superconducting Magnetic Bearing Spinning Processmentioning

confidence: 99%

In situ measurement of the dynamic yarn path in a turbo ring spinning process based on the superconducting magnetic bearing twisting system

Hossain

Sparing

Espenhahn

et al. 2019

“…Traditional ring spinning cannot run at high speed due to the friction between the traveler and the ring. Hossain et al 18 used a superconducting magnetic levitation device to replace the ring traveler and proposed a balloon equation incorporating the yarn elasticity to study the shape of the balloon and the tension of the yarn under high-speed rotation. Furthermore, Hossain et al 19 used a high-speed camera to record the balloon shape and calculated the tension of the yarn by measuring its strain in the balloon.…”

mentioning

confidence: 99%

Mathematical model of multisegment balloons in ring spinning

Zhang

et al. 2023

High-speed ring spinning is limited by issues such as yarn quality and yarn breakage, and the spinning tension significantly affects yarn breakage and winding speed. The shape of the balloon in ring spinning is closely related to the distribution of tension within the yarn. In this study, a force analysis of the balloon yarn was conducted focusing on the balloon section during ring spinning, and a mathematical model of the balloon was established. The model included factors such as the centrifugal force, Coriolis force, and the air resistance of the yarn. Suitable parameters were then selected to extract the balloon trajectory curve and compare it with simulations to validate the model. The model was used to analyze the effects of balloon speed, yarn linear density, balloon bottom radius, balloon height, and yarn tension at the top of the balloon on the yarn tension at the bottom of the balloon, and the overall shape of the balloon. The balloon model established in this study could also be used for the study of balloon yarn tension in other processes. The effects of the main parameters influencing the yarn tension of the multi-balloon can provide a theoretical reference for enhancing the design of high-speed ring spinning.

“…Among researches related to textile systems, there are quite a few that focus on the movement and dynamics of textile flexible bodies, such as yarns, filaments, or fabrics. For example, Hossain et al [8][9][10] carried out mathematical modeling research on the yarn movement state in the ring-spinning system. A similar study is Tang et al, 11 which adds a part of the experimental verification.…”

mentioning

confidence: 99%

“…For example, Hossain et al. 8–10 carried out mathematical modeling research on the yarn movement state in the ring-spinning system. A similar study is Tang et al., 11 which adds a part of the experimental verification.…”

mentioning

confidence: 99%

A dynamic modeling approach to the moving filament during high-speed winding by absolute nodal coordinate formulation

Hou

et al. 2022

During the winding process, the filament moves at a high speed with multiple configurations and large deformations, and is acted upon by winding tension, contact force, transverse force, air resistance, and so on. Accurately predicting the trajectory and tension fluctuation of the filament under the high-speed running condition is the basis for regulating winding parameters and ensuring high-quality winding. This paper proposed a novel dynamic approach for modeling the polyester filament winding system. The filament element was established by absolute nodal coordinate formulation. The nonlinear spring and viscous damper elements were used to establish the contact model between the filament and the mechanical parts, and the mechanical model of the influence of the airflow on the filament was established. Through considering the moving filament and all the force factors, the dynamic model of the multi-body coupling system of the filament winding and the corresponding nonlinear dynamic equation were established, and the dynamic equations were solved using MATLAB. An example of the high-speed winding system was simulated and further analyzed, and the simulated trajectory of the moving filament was highly consistent with the experimental image record.