Modelling the pattern creation process for the optimum design of a circular warp-knitting machine using a conical needle-bed

A circular warp-knitting machine was designed using a novel approach that uses a conical needle-bed. This machine was built and successfully tested. The interaction between the patterning and knitting mechanisms of a warp-knitting machine is critical for the performance of the machine. In a circular warp-knitting machine, geometric parameters such as the diameter of the patterning rings and the distance between the patterning rings and the needles can significantly affect the patterning capability of the machine. This paper describes an approach to modelling the yarn and needle paths in a novel circular warp knitting machine with a conical needle-bed and patterning rings, using equations that govern the relationship between the different geometric parameters in order to calculate the amplitude of the shogging movements and optimise machine performance. A set of mathematical equations governing the geometric relationship that determines the limits of the motion of the patterning rings is presented. The algorithms have been created and successfully tested using a case study. A mathematical model and appropriate algorithms are developed that prove useful design tools for the designer of the circular warp knitting machines using conical needle-bed.