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2024 | OriginalPaper | Chapter

Transient Solutions for a Pendulum Coupled to a DC Motor

Authors : Rafael Henrique Avanço, Danilo Antonio Zanella, Raibel de Jesus Arias Cantillo, Américo Cunha Jr, José Manoel Balthazar, Angelo Marcelo Tusset

Published in: Perspectives in Dynamical Systems I — Applications

Publisher: Springer International Publishing

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Abstract

The present text analyzes the influence of the inductance and the rotor inertia on the dynamics of a pendulum vertically moved by a DC motor through a yoke-scotch mechanism. The analysis also includes the influence of the mass on the tip of the pendulum. Time histories for the position and speed of the pendulum are presented, and the phase portraits demonstrate the type of motion and the amplitudes. The motor speed is affected by the pendulum characterizing a nonideal excitation. The results point that amplitude and speed in the pendulum increase when the mass on the pendulum increases. A small influence of the rotor inertia is found, and no influence of the inductance is present in steady state regions. Higher values for the mass of the pendulum provokes a lower speed in the motor, larger values for the rotor inertia diminish the final speed of the motor, but the inductance does not affect the final speed of the DC motor in the present analysis.

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previous chapter Finite Dimensional Modeling of an Elastic Rib
next chapter Remarks on the Dynamics of a DC Motor Moving a Cart Horizontally
Literature
1.
Kononenko VO (1969) Vibrating system with a limited power-supply. Iliffe, London
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Avanço RH, Zanella DA, Arias Cantillo RJ, Cunha Jr A, Balthazar JM, Tusset AM (2021) The influence of the inductance on nonideal vibrations of a pendulum coupled to a DC motor. In 16th International Conference of Systems and Applications, Lodz, Poland, 2021
8.
Metadata
Title
Transient Solutions for a Pendulum Coupled to a DC Motor
Authors
Rafael Henrique Avanço
Danilo Antonio Zanella
Raibel de Jesus Arias Cantillo
Américo Cunha Jr
José Manoel Balthazar
Angelo Marcelo Tusset
Copyright Year
2024
Book
Perspectives in Dynamical Systems I — Applications

Print ISBN: 978-3-031-56491-8

Electronic ISBN: 978-3-031-56492-5

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-3-031-56492-5_5

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