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Документ Geometrical modeling of the shape of a multilink rod structure in weightlessness under the influence of pulses on the end points of its links(ПП "Технологічний Центр", 2018) Kutsenko, Leonid; Semkiv, Oleg; Zapolsky, Leonid; Shoman, Olga; Ismailova, Nelli; Vasyliev, Serhii; Adashevska, Irina; Danylenko, Volodymyr; Pobidash, AndreyWe have examined a geometrical model of the new technique for unfolding a multilink rod structure under conditions of weightlessness. Displacement of elements of the links occurs due to the action of pulses from pyrotechnic jet engines to the end points of links in a structure. A description of the dynamics of the obtained inertial unfolding of a rod structure is performed using the Lagrange equation of second kind, built using the kinetic energy of an oscillatory system only. The relevance of the chosen subject is indicated by the need to choose and explore a possible engine of the process of unfolding a rod structure of the pendulum type. It is proposed to use pulse pyrotechnic jet engines installed at the end points of links in a rod structure. They are lighter and cheaper as compared, for example, with electric motors or spring devices. This is economically feasible when the process of unfolding a structure in orbit is scheduled to run only once. We have analyzed manifestations of possible errors in the magnitudes of pulses on the geometrical shape of the arrangement of links in a rod structure, acquired as a result of its unfolding. It is shown at the graphical level that the error may vary within one percent of the estimated value of the magnitude of a pulse. To determine the moment of fixing the elements of a multilink structure in the preset unfolded state, it is proposed to use a «stop-code». It is a series of numbers, which, by using functions of the generalized coordinates of the Lagrange equation of second kind, define the current values of angles between the elements of a rod structure. Results are intended for geometrical modeling of the unfolding of large-size structures under conditions of weightlessness, for example, power frames for solar mirrors, or cosmic antennae, as well as other large-scale orbital facilities.Документ Geometrical modeling of the process of weaving a wire cloth in weightlessness using the inertial unfolding of a dual pendulum(ПП "Технологічний Центр", 2018) Kutsenko, Leonid; Semkiv, Oleg; Zapolsky, Leonid; Shoman, Olga; Kalynovskyi, Andrii; Piksasov, Mykhailo; Adashevska, Irina; Shelihova, Inessa; Sydorenko, OlenaWe investigated a geometrical model of unfolding a rod frame of an orbital object as a process of oscillations of a multi-link pendulum under conditions of weightlessness and within an abstract plane. The initiation of oscillations is assumed to be driven by the pulse action on one of the nodal elements of the pendulum, implemented using a pulsed rocket engine. The transported (starting) position of a multilink pendulum shall be accepted in the “folded” form. A notation of the inertial frame unfolding is performed employing the Lagrange equation of the second kind, in which potential energy was not taken into consideration because of weightlessness. It was established in the course of research: – to unfold the structure, there is no need to synchronize the means of control over the magnitudes of angles in separate nodes; – transverse oscillations of nodes (tremor) before the moment of full unfolding of a multi-link pendulum can be used as signal for the actuation of locks in order to fix the position of its adjacent links; – based on a circuit for unfolding a single multi-link structure, it is possible to form multi-beam circuits with a shared non-movable attachment node (a triad as an example). Reliability of the obtained approximate solution was tested using the created animated film about the unfolding process of the structure. An example of a four-link pendulum was studied in detail. The results might prove useful when designing the unfolding of large-size structures under conditions of weightlessness, for example, frames for solar mirrorsДокумент Geometrical modeling of the inertial unfolding of a multi-link pendulum in weightlessness(ПП "Технологічний Центр", 2017) Kutsenko, Leonid; Shoman, Olga; Semkiv, Oleg; Zapolsky, Leonid; Adashevska, Irina; Danylenko, Volodymyr; Semenova-Kulish, Victoria; Borodin, Dmitriy; Legeta, JaroslavWe investigated a geometrical model of unfolding a rod frame of an orbital object as a process of oscillations of a multi-link pendulum under conditions of weightlessness and within an abstract plane. The initiation of oscillations is assumed to be driven by the pulse action on one of the nodal elements of the pendulum, implemented using a pulsed rocket engine. The transported (starting) position of a multilink pendulum shall be accepted in the “folded” form. A notation of the inertial frame unfolding is performed employing the Lagrange equation of the second kind, in which potential energy was not taken into consideration because of weightlessness. It was established in the course of research: – to unfold the structure, there is no need to synchronize the means of control over the magnitudes of angles in separate nodes; – transverse oscillations of nodes (tremor) before the moment of full unfolding of a multi-link pendulum can be used as signal for the actuation of locks in order to fix the position of its adjacent links; – based on a circuit for unfolding a single multi-link structure, it is possible to form multi-beam circuits with a shared non-movable attachment node (a triad as an example). Reliability of the obtained approximate solution was tested using the created animated film about the unfolding process of the structure. An example of a four-link pendulum was studied in detail. The results might prove useful when designing the unfolding of large-size structures under conditions of weightlessness, for example, frames for solar mirrors.Документ Анализ пространственного распределения точечных множеств на основе алгоритма пространственного хеширования(НТУ "ХПИ", 2018) Дашкевич, Андрей Александрович; Шоман, Ольга ВикторовнаВ работе предложен алгоритм для определения меры пространственного распределения точечных множеств на основе алгоритма пространственного хеширования. В работе вводится расширение меры пространственной плотности точечного множества на трехмерное пространство. Разработанный подход позволяет выявлять корреляцию двух точечных множеств как скалярного произведения распределения плотностей индексов ближайшего соседства, что дает возможность решения задачи сегментации точечных множеств.