Journal of Siberian Federal University. Engineering & Technologies / Coupled Pendulums System Under Control by Vertical Oscillations

Full text (.pdf)
Issue
Journal of Siberian Federal University. Engineering & Technologies. 2019 12 (6)
Authors
Semenov, Mikhail E.; Pigarev, Andrey E.; Malinina, Antonina A.; Popov, Mikhail A.
Contact information
Malinina, Antonina A.: Voronezh State Technical University 84 20 Let Oktyabrya Str., Voronezh, 394006, Russia; Popov, Mikhail A.: Voronezh State Technical University 84 20 Let Oktyabrya Str., Voronezh, 394006, Russia;
Keywords
inverted pendulum; linked oscillators; stabilization; controlling; stability zones
Abstract

In this paper we propose a mathematical model consisting of two inverse pendulums with an elastic coupling (by spring). We propose a dynamic programmed control of the model motion, implemented through vertical oscillations of the common pendulums pivot point. We investigate dynamics of this mechanical system, and formulated a condition for identifying stability of the system. We constructed stability zones in the spaces of the original and dimensionless parameters. Also, we obtain evolution of stability zones depending on spring stiffness values. In conclusion, we presented results of numerical software experiments for various system configurations

Pages
694-707
DOI
10.17516/1999-494X-0169
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/125564

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