A MODEL OF THE LOOP FORMATION PROCESS ON KNITTING MACHINES USING FINITE AUTOMATA THEORY

Citation
Sa. Grishanov et al., A MODEL OF THE LOOP FORMATION PROCESS ON KNITTING MACHINES USING FINITE AUTOMATA THEORY, Applied mathematical modelling, 21(7), 1997, pp. 455-465
Citations number
15
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science",Mathematics,Mechanics
ISSN journal
0307904X
Volume
21
Issue
7
Year of publication
1997
Pages
455 - 465
Database
ISI
SICI code
0307-904X(1997)21:7<455:AMOTLF>2.0.ZU;2-L
Abstract
Computer control systems, currently available for industrial knitting machines, have been developed by individual machine manufacturers. The result is that each system is applicable only to a particular machine type. This work is aimed toward the determination of a generic contro l system that could be applied to a wide range of knitting machine typ es. A model of a knitting needle operation is proposed. This takes the form of a multitape controlling automaton and an operational automato n functioning together. The conformity between the technological funct ions of the separate parts of knitting machines and the functions of a n automaton is determined. Diagrams of states and alphabets of input, stack, and output symbols of an operational automaton are defined. The functioning of this automaton is reduced to the performance of nine o perations, which are its system of instructions This enables the proce sses of basic structural element formation, i.e., knitted loop, tuck l oop, and float, on needles of different types and on knitting machines of various constructions to be modelled uniformly. The model proposed also describes the process of a loop transfer, the new knitted fabric commencing on empty needles and finished fabric press-off Furthermore , consideration has been given to the operation of a multitape control ling automaton that would be integrated in. the design of a knitting m achine. An algorithm for output symbol determination has been develope d that provides independent automaton control of the number of cam lay ers, the identification of cam track, and the number of needles in use . The software for minimization of the disjunctive normal form of Bool ean functions, based on the methods of Quine and Gorbatov, has been de veloped. The possibility of modelling knitting machine malfunctions is described enabling deviations from the correct process, such as hook or latch damage, to be studied. (C) 1997 by Elsevier Science Inc.