Збірники наукових праць ЦНТУ
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Item Дослідження рухових можливостей кінематичних ланок МПС при формоутворюючих рухах осьовим інструментом(ЦНТУ, 2025) Вахніченко, Д. В.; Годунко, М. О.; Писанка, С. В.; Vakhnichenko, D.; Hodunko, M.; Pysanka, S.В статті виконано кінематичний аналіз формоутворюючих рухів верстату з механізмом паралельної структури (МПС) при виконанні типових технологічних операцій. Розглянуто математичну модель верстату типу «гексапод» при виконанні даних операцій, таких як свердління та фрезерування. Досліджено рухові можливостей кінематичних ланок МПС при лінійних, площинних та просторових формоутворюючих рухах. Визначено залежності між координатними рухами інструменту в процесі обробки та зміною довжини кінематичних ланок МПС. Any proposed design of a machine with parallel kinematics machine (PKM) requires justification of the choice of design parameters and technical characteristics for the further implementation of this equipment in production. Since the coordinate movements of the executive body for the implementation of the technological operation associated with the processing of parts are performed by kinematic links, the indicator of the motor capabilities of the kinematic links of the PKM during the shaping process was investigated. To carry out research in the MathCad, a general mathematical model of the design of a machine with PKM. First of all, boring and drilling schemes are considered, in which the tool moves along one or more coordinates simultaneously. Then, processing according to technological schemes with complex tool motion trajectories is considered, milling in a plane according to the technological schemes: along an astroid, along an Archimedean spiral, along an elongated cycloid and along an epicycloid. The change in the length of kinematic links during typical technological movements in space is considered according to the processing schemes along a cylindrical and conical helical line etc.Item Кінематичні залежності двокоординатного механізму паралельної структури з поворотним кріпленням шарнірів штанг змінної довжини(ЦНТУ, 2022) Кропівний, О. О.; Гречка, А. І.; Кириченко, А. М.; Щербина, К. К.; Kropivny, O.; Hrechka, A.; Kyrychenko, A.; Shcherbyna, K.Запропоновано новий оригінальний механізм паралельної структури з розширеними межами руху шпиндельного вузла по двом координатам. Розвʼязано пряму і зворотню кінематичні задачі для нового механізму паралельної структури. Виокремлено межі розвʼязку знайдених аналітичних залежностей. Розраховано основні вихідні кінематичні параметри механізму. In the article the kinematic problem for a new two-axis parallel manipulator with rotary hinged parallelogram, the source of which is a spindle unit, is performed. The analysis of the received kinematic dependencies is carried out. The presence of special provisions of the source body of the mechanism is established. The directions of further scientific researches are outlined. The parallel manipulator structure for consideration differs from previously developed fastenings of hinges of rods of variable length on rotary levers which rotation is coordinated with rotation of an initial link with a spindle unit. On the basis of the developed scheme mathematical dependences for lengths of actuators are established. The performed mathematical transformations allowed to solve direct and inverse kinematic problems for the mechanism. Analysis of the obtained kinematic dependences showed the presence of special positions of the initial body of the mechanism in the form of kinematic parallel singularities. Their graph is given. Graphs of changes of coordinates of an output link at change of lengths of rods of the drive of giving are shown. The analysis of graphic dependences shows existence of such combinations of constructive parameters of the mechanism at which the drive of giving starts to work in a multiplicative mode. The obtained dependences will allow to ensure the functioning of the kinematic circuits of the feed drive of this mechanism. The established points of the kinematic parallel singularity of the feed drive and its operation in the multiplicative mode require further consideration taking into account the dynamic loads. By selecting the design parameters of the mechanism, it is possible to achieve close to rectilinear relationships between changes in the length of the rods and the movement of the spindle unit.Item Дослідження кутових переміщень платформи МПС із ріжучим інструментом(ЦНТУ, 2020) Павленко, I. I.; Годунко, М. О.; Кислун, О. А.; Костюк, Є. С.; Pavlenko, I.; Hodunko, M.; Kyslun, O.; Kostyuk, E.; Павленко, И. И.; Костюк, Е. С.В статті виконано аналітичний розрахунок величини переміщення виконавчого органу верстата з механізмом паралельної структури (МПС) по лініям в поперечному напрямку під кутом. Досліджено вплив конструктивних параметрів МПС на значення цих переміщень виконавчого органу. For the manufacture of parts of complex shapes, it becomes necessary to move the cutting tool along the line at a certain angle. For this, machines equipped with mechanisms of parallel structure are used. Only a study of the movable capabilities of these mechanisms makes it possible to introduce them into production. The studies focus on the transverse movement of the center of the moving platform of the parallel structure mechanism for a hexapod machine, as a material point moving along a line depending on the angle of contact of the tool and the perpendicular to the plane of the work surface (axis of symmetry of the mechanism). To determine the possible positions of the center of the moving platform, we consider a generalized scheme of the parallel structure mechanism. Given the restrictions on movement, the area of possible positions is divided into zones: Zrp - without a cutting tool; Zri - the zone of positions of the top of the instrument. The part that is being processed is installed on the technological device, which is placed on the basis of a parallel structure mechanism. Parameters of a machine with a parallel structure mechanism: a, b - distance between the supports of the stationary carrier system and the executive body, respectively; Lmax is the maximum length of the kinematic links; lmin is the minimum length of the kinematic links; li is the current length of the kinematic links; l is the magnitude of the transverse movement; φ is the angle of inclination of the executive body; hi is the current position of the executive body of the mechanism of the parallel structure in height. The assessment of motor capabilities is determined by the displacement index, which is the ratio of the actual displacement value l to the theoretically possible one (taken equal to the maximum rod length Lmax). From the above dependencies it is seen that the influence of the motor capabilities of the rods on the relative displacement provides an increase in the displacement index in the indicator section from 0.45 to 0.65, then the section that is affected by the slope of the displacement line, with a decrease in which the displacement in the area of0.8 up to 1 movement decreases again, this is due to the complex geometry of the service area ofthe working space of the machine with a parallel structure mechanism. On the effect of the ratio of the sizes of the movable to the fixed platform on the relative displacement, we have that with an increase in the indicator, the initial indicator of the relative displacement also increases, with a value of the exponent n starting from 0.6 its value decreases in all cases. The influence of the ratio of the maximum displacement of the rods to the size of the fixed platform, on the relative displacement has the opposite of the previous character. With an increase in the indicator m, the relative displacement indicator increases, with a further increase in the indicator m, it can be seen that significantly decreases the displacement indicator and with a value less than 0.6. В статье выполнен аналитический расчет величины перемещения исполнительного органа станка с механизмом параллельной структуры (МПС), по линиям в поперечном направлении под углом. Исследовано влияние конструктивных параметров МПС на значение этих перемещений исполнительного органа.