Studies on convergence point of the multi-strand yarn spinning

Abstract

In this study, convergence point of multi-strand yarn spinning has been investigated. Firstly, the complete convergence point state is studied for two-strand yarn spinning. Then, one condition such that two strands are kept symmetric on the convergence point is given correspondingly. Secondly, a system of the equations governing the general multi-strand yarn spinning with strands is presented by <span style="mso-bidi-font-size:10.5pt" lang="EN-GB">introducing a series of virtual intermediate variables. After <span style="mso-bidi-font-size:10.5pt" lang="EN-GB">eliminating the intermediate variable, the partial convergence point state and of multi-strand yarn spinning<span style="mso-bidi-font-size:10.5pt" lang="EN-GB"> is given. It is observed that the complete convergence point for two-strand yarn spinning can be<span style="mso-bidi-font-size: 10.5pt" lang="EN-GB"> determined by the densities and radius of two strands and the spun yarn.

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