Physical pendulum model: Fractional differential equation and memory effects

A detailed analysis of pendular motion is presented. Inertial effects, self-oscillation, and memory, together with non-constant moment of inertia, hysteresis, and negative damping are shown to be required for the comprehensive description of the free pendulum oscillatory regime. The effects of very...

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Bibliographic Details
Main Author: Gonçalves, Luís Nobre (author)
Other Authors: Fernandes, João C. (author), Ferraz, António (author), Silva, Ana Gomes (author), Sebastião, Pedro José Oliveira (author)
Format: article
Language:eng
Published: 2021
Subjects:
Online Access:http://hdl.handle.net/10362/117338
Country:Portugal
Oai:oai:run.unl.pt:10362/117338
Description
Summary:A detailed analysis of pendular motion is presented. Inertial effects, self-oscillation, and memory, together with non-constant moment of inertia, hysteresis, and negative damping are shown to be required for the comprehensive description of the free pendulum oscillatory regime. The effects of very high initial amplitudes, friction in the roller bearing axle, drag, and pendulum geometry are also analyzed and discussed. A model consisting of a fractional differential equation fits and explains high resolution and long-time experimental data gathered from standard action-camera videos.