On the Issue of Collision of Balls in an Auto-Balancing Device
Latvian Journal of Physics and Technical Sciences 2022
Guntis Strautmanis, Igors Ščukins, Gennadiy Filimonikhin, Igors Kurjanovičs, Ineta Irbe

The paper considers a model of a vertical double pendulum, which includes two balls suspended on rigid non-deformable threads to one centre of the suspension. For the proposed system of pendulums, differential equations of motion and conditions for collision of balls have been recorded. When simulating the motion of the pendulums, the central collision of the balls has been considered for various options of the motion of the suspension point: The suspension point is motionless; the suspension point oscillates in the vertical direction; the suspension point makes rotational motions in the vertical plane. Meanwhile, various conditions for the central collision between the balls have been considered: A perfectly inelastic collision; a perfectly elastic collision; a collision with transformation of collision energy (partially elastic collision). The results of numerical simulation are consistent with the behaviour of pendulums in real physical models, which makes it possible to simulate an elastic collision between balls when studying their acceleration in auto-balancing devices.


Atslēgas vārdi
Balls | centre of suspension | elastic collision | equations of motion | pendulum
DOI
10.2478/lpts-2022-0016

Strautmanis, G., Ščukins, I., Filimonikhin, G., Kurjanovičs, I., Irbe, I. On the Issue of Collision of Balls in an Auto-Balancing Device. Latvian Journal of Physics and Technical Sciences, 2022, Vol. 59, No. 3, 140.-154.lpp. ISSN 0868-8257. Pieejams: doi:10.2478/lpts-2022-0016

Publikācijas valoda
English (en)
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