Computer Implementation of Recurrence Algorithm for Comb Tensioning Device Square Machines

The development of the computer module of the KDAM program for determining the kinematic and dynamic parameters of the input link of the mechanisms of light industry machines allows to determine the coordinates, projections of speeds and accelerations of the center of mass of the crank and the point of attachment of the links of the Asura groups. During the dynamic analysis of the operation of the input link, the projections of the full reaction in the hinge of the input link are determined. The obtained results are used in the program to assess the intensity of technological processes of the light and textile industry when determining the change in the relative tension of the thread in the filling zones on the technological equipment. Lever mechanisms are widely used in light and textile industry machines. The working bodies of the lever mechanisms come into contact with the threads during operation. Depending on the trajectory of the movement, the angle of coverage of the working bodies of the mechanisms of the light and textile industry machines changes. A change in the value of the angle of coverage leads to a change in the tension of the threads. When the coverage angle increases to critical values, the thread may break and the technological equipment may stop. The tension of the thread increases when moving through the refueling zones of the thread feeding system on the technological equipment. This increase is due to the interaction of the thread with the guides and tension devices. The maximum tension value will be in front of the working area. A sharp increase in tension leads to a violation of the normal course of the technological process of thread processing. The development of new schemes of the thread feeding system requires an operational assessment of the value of the tension in front of the working zone. The development of special computer programs for determining the tension in the working area makes it possible to determine the necessary technological parameters. The objective function in the tasks of optimization of technological processes is the minimum necessary tension. The variable parameter in the objective function is the sum of the angles of coverage of the working bodies by the thread. The use of a computer program allows you to determine the tension and change in relative tension in the filling zones of technological machines, which allows you to optimize the shape of the thread supply line even at the stage of designing the technological process. Computer determination of kinematic and dynamic parameters of flat mechanisms allows to determine the parameters used in determining the intensity of technological processes. The study of the influence of the design of the thread tension device on the conditions of its interaction with the thread, taking into account its unevenness in the diameter of the cross section, is important in determining the thread tension. The tension of the thread increases when moving through the refueling zones of the thread feeding system on the technological equipment.

Section: постановка проблемиunclassified

Structure of the Computer Module of the Kdam Program for Determining Kinematic and Dynamic Parameters of the Input Link

SHCHERBAN,

SHILINGOV,

LUKASHEV

et al. 2023

“…Недосконала форма графа лінії заправки нитки на технологічних машинах легкої промисловості, низька якість комплексних ниток та пряжі при зростанні натягу по глибині заправки призводить до їх обривів. Удосконалення процесу переробки ниток полягає в мінімізації натягу і повинно базуватися на теоретичних та експериментальних дослідженнях процесу взаємодії ниток з структурними елементами системи подачі [2,[5][6][7][8][9]. До них можна віднести пристрої для натягу, для контролю обриву та спрямовувачі великої та малої кривизни [2].…”

Section: аналіз досліджень та публікаційunclassified

“…Визначення впливу граничних умов на цільову функцію при комп'ютерному визначенні оптимального шляху для неорієнтованого графа дозволяє отримати сумарний [3][4][5][6][7], мінімальний кут охоплення конструктивних структурних елементів технологічних машин.…”

Section: аналіз досліджень та публікаційunclassified

“…Це дозволяє зменшити напруженість та відносний натяг по зонам заправки технологічного устаткування. Перешкоди неорієнтованого графа утворюються структурними елементами технологічного устаткування, які представляють базу направляючих циліндричної форми та у формі тора, елементів пристроїв для натягу, пристроїв для контролю обриву [1,[5][6][7].…”

Section: аналіз досліджень та публікаційunclassified

See 1 more Smart Citation

Influence of Boundary Conditions on the Objective Function in the Computer Determination of the Optimal Path for an Undirected Graph

ISHCHENKO¹,

SHCHERBAN²,

GOLDBERG³

et al. 2022

The minimum necessary tension will be determined by the objective function, which is the minimum sum of the angles of coverage of the guiding surfaces by the thread. A recursive approach is used to determine the thread tension in the working zone, in which the output tension after the obstacle in the previous zone will be the input before the obstacle in the next zone. Algorithms and computer programs were used to find the optimal path of an undirected graph using Dijkstra’s algorithm, which made it possible to determine the influence of boundary conditions on the objective function, taking into account the specifics of the design of the thread feeding system. This leads to a decrease in thread breakage. Minimizing thread tension on technological machines allows to reduce the probability of breakage in the working area. The minimum necessary tension will be determined by the objective function, which is the minimum sum of the angles of coverage of the guiding surfaces by the thread. The use of algorithms and computer programs for finding the optimal path of an undirected graph using Dijkstra’s algorithm allows determining the influence of boundary conditions on the objective function. Determination of tension and changes in relative tension in the filling zones of knitted and textile machines, taking into account the specifics of the design of the thread feeding system, allows to reduce the breakage of threads, to optimize thread tension in the working zone of the formation of the output product. Determining the influence of boundary conditions on the objective function during the computer determination of the optimal path for an undirected graph in the search for the optimal path is an important component of the optimization of thread tension in the working zone of the formation of the output product. Reducing the friction force between the thread and the guide surfaces is achieved by optimizing the geometric parameters of the thread feeding system on the technological equipment. Practically, this is realized by building such a broken form of the thread, in which the total angle of coverage of the constructive structural elements of the technological equipment will have a minimal value. Constructive structural elements are presented in the form of guides of cylindrical shape and in the form of a torus, elements of tensioning devices, devices for monitoring breakage. Construction of the optimal path of an undirected graph will allow obtaining the minimum tension in the working area. Taking into account the large number of structural elements of the thread feeding system on technological machines, their location in the plane and space, there is a need to use modern information technologies.

“…Натяг сировини та форма лінії заправки пов'язані між собою [1,2,9]. Цей зв'язок має вигляд кутів охоплення нитками чи пряжею циліндричних, еліптичних напрямних, дискретних відрізків прямої лінії конструктивних структурних елементів [4][5][6][7][8]. При недосконалості форми лінії заправки натяг в робочій зоні буде стрімко зростати, що призводить до обривів.…”

Section: постановка проблемиunclassified

Structure of a Computer Program for Determining the Optimal Path Directed Graph Using Dijkstra’s Algorithm

SHCHERBAN¹,

ISHCHENKO²,

Kolysko³

et al. 2022

Ensuring the minimum tension during thread processing on technological equipment allows to reduce equipment downtime due to the elimination or significant reduction of thread breaks. Minimization of tension is ensured by optimization of the shape of the thread filling line, in which the total angle of coverage of the guides will be minimal. This problem is solved by using Dijkstra’s algorithm in finding the optimal path of a directed graph. The computer program for implementing this algorithm allows you to optimize the form of filling the thread on the technological equipment. The development of application packages of computer programs allows to reduce the time for the design of technological processes in the light and textile industry as much as possible. This is due to the modernization of the thread filling line on the technological equipment, which allows to minimize thread tension in the working area. Minimization of tension is ensured by optimization of the shape of the thread filling line, in which the total angle of coverage of the guides will be minimal. This problem is solved by using Dijkstra’s algorithm in finding the optimal path of a directed graph. Construction of the optimal path of the directed graph will allow to obtain the minimum tension in the working area. Constructive structural elements in the form of guides, elements of tensioning devices, break control devices, which have a cylindrical, elliptical shape, and discrete segments of a straight line act as obstacles in the path of the thread. Straight line segments can have an inclination relative to the vertical axis. Taking into account the large number of structural elements of the thread feeding system on light and textile industry machines and their location, there is a need to develop a special computer program for determining the optimal shape of the thread feeding line using the Dijkstra algorithm when searching for the optimal path of a directed graph. The objective function in the problem is the minimum necessary tension, which is the minimum sum of the angles covered by the thread of guide surfaces that have a cylindrical, elliptical shape, discrete segments of a straight line. The use of a computer program allows you to determine tensions and changes in relative tension in the filling zones of light and textile industry machines, which allows you to optimize the shape of the thread supply line even at the stage of designing the technological process. The use of algorithms for computer programs for finding the optimal path of an undirected graph, for cylindrical, elliptical guides, discrete segments of a straight line, allows you to determine the influence of coverage angles on the target tension function. Determining the effect of coverage angles, for cylindrical, elliptical guides, discrete segments of a straight line, on the objective function during the computer determination of the optimal path for an oriented graph is an important component of the optimization of thread tension in the working area of machines of the light and textile industry, the formation of knitted and textile products.