<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

On the Issue of Collision of Balls in an Auto-Balancing Device

Central Ukrainian National Technical University

Latvian Journal of Physics and Technical Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On the Issue of Collision of Balls in an Auto-Balancing Device"}

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....

On the Issue of Collision of Balls in an Auto-Balancing Device

Published Online: Jun 23, 2022

Page range: 140 - 154

DOI: https://doi.org/10.2478/lpts-2022-0016

Keywords
Balls, centre of suspension, elastic collision, equations of motion, pendulum

© 2022 G. Strautmanis et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On the Issue of Collision of Balls in an Auto-Balancing Device

Published Online: Jun 23, 2022

Page range: 140 - 154

DOI: https://doi.org/10.2478/lpts-2022-0016

KeywordsBalls, centre of suspension, elastic collision, equations of motion, pendulum

© 2022 G. Strautmanis et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Balls, centre of suspension, elastic collision, equations of motion, pendulum