Spinning triangle is a critical region in the spinning process of yarn. Its geometry influences the distribution of fiber tension in the spinning triangle and the properties of spun yarns, such as the yarn breakage and hairiness. In this paper, the relationships between the spinning angle and yarn properties especially the yarn hairiness were investigated under various horizontal offsets. The properties of spun yarns produced by the modified system were evaluated and analyzed. Both left diagonal and right diagonal yarn arrangements were examined. The results indicate that the right diagonal yarn path leads to reduce yarn hairiness but the left diagonal yarn path leads to increase yarn hairiness; the breaking force of yarn changes little; yarn evenness deteriorates slightly with the changes of offset.

In this paper, the hairiness relationship between Solospun and Ring Spun yarns is investigated using a geometric method which is different from Cheng et al. It is also analyzed why Solospun yarns have less hairiness than Ring Spun yarns. Then, the relationship between the increase of the substrands number and the decrease of the hairiness during the Solospun is confirmed. Finally, the conclusions of the theoretical analysis are proved by test.

In this paper, the effect of the coupling strength to the complex network synchronizability is investigated. For a given network with identical node dynamics, it is shown that the coupling strength among the nodes is one of key factors influencing the network synchronizability besides the network inner linking matrix and the eigenvalues of the network topological matrix. It is point that if the synchronized region is an unbounded sector, for achieving synchronizability, the coupling strength must be greater than or equal to the minimum coupling strength, and with the increasing of the coupling strength, network synchronizability is improved; if is a bounded sector, for achieving network synchronizability, the coupling strength must be in a certain range, and the larger coupling strength does not necessarily indicate better synchronizability.

In this paper, theoretical model of the distribution of fiber tension in the symmetrical spinning triangle was given firstly. Then, based on the force balance of the twisting point, the quasistatic model for the symmetrical ring spinning triangle was present. It is shown that the convergence point can be determined with ease for different spinning tension, torsion moment, the numbers of fibers at the roller nip, the fiber tensile Young’s modulus and cross-section, and the width of the spinning triangle.