Approach To Analyse Of Reaction Forces In Ring–Traveller System

Abstract

The paper presents the approach to analyse of reaction forces and contact pressure for ring-traveller system in twisting machine. The theory of the ballooning yarn has been adapted for the calculation of reactions, and the motion equation is developed for traveller with two reaction forces. The components of normal reaction forces are analyzed for system with free balloon and control one. The effect of the balloon control ring is shown to be significant, reducing the reaction forces of traveller or increasing the speed of spindle. Contact pressure generated between the ring and the traveller is analyzed using Hertzian contact theory. The article also presents the recommendations for optimization of the traveller shape to increase its service life.

Modeling the temperatures of traveler and ring in ring spinning

“…Also, in equations (2) and (3), italicA is the contact area ( m2). According to the Hertzian contact theory, the contact area can be calculated as follows: 5,6 where italicN is the reaction force between the traveler and ring ( N ). b is the width of the traveler (m), italicP is the Poisson's ratio and italicE is the elastic modulus (Table 1 and Table 2).…”

Numerical analysis of heat transfer in ring spinning

“…Also, the frictional coefficient as the model parameter was subsequently discussed. N is the reaction force, A is the contact area between the ring and the traveler which can be calculated using the Hertzian contact theory, 24,35 its size was also considered as a model parameter, v is the velocity (m/s) of a certain point.…”

“…[50][51][52] So, this study assumed the contact of the traveler and the ring were constant and well-fitted and had one position contact configuration, where a cylinder (ring) was pressed against a cylindrical groove (traveler). 24 According to the Hertzian contact theory, 35 the contact area was calculated from 0.11-0.22 mm 2 with the spindle speed rising from 8000 to 16,000 rpm. As presented in Table 4, this range was chosen.…”

“…19,20 Many studies have analyzed the distribution of forces and movement process of the ring, traveler and yarn system, revealing the reaction force and friction force when the traveler rotates on the ring under different spinning conditions. [21][22][23][24][25] Beran et al calculated the reaction pressure of the traveler from rotating on the ring under the different contact configurations, 24 which established a theoretical basis for the definition of the traveler and the ring's contact condition. High spindle speed and yarn tension have been reported to increase the friction force and contact pressure between the ring and the traveler, 24,26 which could also contribute to the frictional heat.…”

“…[21][22][23][24][25] Beran et al calculated the reaction pressure of the traveler from rotating on the ring under the different contact configurations, 24 which established a theoretical basis for the definition of the traveler and the ring's contact condition. High spindle speed and yarn tension have been reported to increase the friction force and contact pressure between the ring and the traveler, 24,26 which could also contribute to the frictional heat. Moreover, the high temperature between the ring and the traveler is a crucial obstacle for the substantial increase in ring spinning speed.…”