Analytical solution for the motion of a pendulum with rolling wheel: stability analysis

Abstract The current work focuses on the motion of a simple pendulum connected to a wheel and a lightweight spring. The fundamental equation of motion is transformed into a complicated nonlinear ordinary differential equation under restricted surroundings. To achieve the approximate regular solution...

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Bibliographic Details
Main Authors: Galal M. Moatimid, T. S. Amer
Format: Article
Language:English
Published: Nature Portfolio 2022-07-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-15121-w