Geometric modeling of the unfolding of a rod structure in the form of a double spherical pendulum in weightlessness

Authors

DOI:

https://doi.org/10.15587/1729-4061.2018.139595

Keywords:

rod structure, the process of unfolding in space, two-link rod structure, Lagrangian equation of the second kind

Abstract

We investigated the geometric model of the new technique for unfolding a rod structure, similar to the double spherical pendulum, in weightlessness. Displacements of elements occur due to the pulses from pyrotechnic jet engines acting on the endpoints of links. The motion of the obtained inertial unfolding of a rod structure was described using a Lagrange equation of the second kind. Given the conditions of weightlessness, it was built applying only the kinetic energy of the system.

The relevance of the chosen subject is emphasized by the need to choose and study the process of activation of the unfolding of a spatial rod structure. The proposed possible drivers are the pulse pyrotechnic jet engines installed at endpoints of the structure's links. They are lighter and cheaper compared, for example, to electric motors or spring devices. In addition, they are more efficient economically when the process of unfolding a structure in orbit is planned to be performed only once.

We propose a technique for determining the parameters and initial conditions for initiating the oscillations of a double rod structure in order to obtain a cyclic trajectory of the endpoint of the second link. That makes it possible to avoid, when calculating the process of transformation, the chaotic movements of the structure's elements. We built the time-dependent charts of change in the functions of generalized coordinates, as well as the first and second derivatives from these functions. Therefore, there is a possibility to estimate the force characteristics of the system at the moment of braking (locking) the process of unfolding.

The results are intended for the geometric modeling of one of the variants for unfolding the large-sized structures under conditions of weightlessness, for example, force frames for solar mirrors or space antennas, as well as other large-scale orbital infrastructures.

Author Biographies

Leonid Kutsenko, National University of Civil Defense of Ukraine Chernyshevska str., 94, Kharkiv, Ukraine, 61023

Doctor of Technical Sciences, Professor

Department of Engineering and Rescue Technology

Oleg Semkiv, National University of Civil Defense of Ukraine Chernyshevska str., 94, Kharkiv, Ukraine, 61023

Doctor of Technical Sciences, Vice-Rector

Department of prevention activities and monitoring

Vitalii Asotskyi, National University of Civil Defense of Ukraine Chernyshevska str., 94, Kharkiv, Ukraine, 61023

PhD

Scientific and methodical center of educational institutions in the field of civil protection

Leonid Zapolskiy, Ukrainian Civil Protection Research Institute Rybalska str., 18, Kyiv, Ukraine, 01011

PhD, Senior Researcher

Department of Scientific and organizational

Olga Shoman, National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002

Doctor of Technical Sciences, Professor, Head of Department

Department of Geometrical Modeling and Computer Graphics

Nelli Ismailova, Military Academy Fontanska doroha str., 10, Odessa, Ukraine, 65009

Doctor of Technical Sciences, Associate Professor

Department of Engineering Mechanics

Volodymyr Danylenko, Kharkiv National Automobile and Highway University Yaroslava Mudroho str., 25, Kharkiv, Ukraine, 61002

Associate Professor

Department of Engineering and Computer Graphics

Stanislav Vinogradov, National University of Civil Defense of Ukraine Chernyshevska str., 94, Kharkiv, Ukraine, 61023

PhD, Associate Professor

Department of Engineering and Rescue Technology

Elizaveta Sivak, National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002

PhD, Associate Professor

Department of Geometrical Modeling and Computer Graphics

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Published

2018-07-27

How to Cite

Kutsenko, L., Semkiv, O., Asotskyi, V., Zapolskiy, L., Shoman, O., Ismailova, N., Danylenko, V., Vinogradov, S., & Sivak, E. (2018). Geometric modeling of the unfolding of a rod structure in the form of a double spherical pendulum in weightlessness. Eastern-European Journal of Enterprise Technologies, 4(7 (94), 13–24. https://doi.org/10.15587/1729-4061.2018.139595

Issue

Vol. 4 No. 7 (94) (2018): Applied mechanics

Section

Applied mechanics

License

Copyright (c) 2018 Leonid Kutsenko, Oleg Semkiv, Vitalii Asotskyi, Leonid Zapolskiy, Olga Shoman, Nelli Ismailova, Volodymyr Danylenko, Stanislav Vinogradov, Elizaveta Sivak

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