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arXiv · 1911.04364

The Lagrangian Mechanics and Pseudo-Periodicity of The Many-Body Planar Pendulum System

Sergio Charles
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Abstract

We present the Euler--Langrage equations for a many-body system of coupled planar pendulums. Hence, imposing initial condition data, the equations of motion are linearized and later developed in an idealized model for the pseudo-periodicity of the system as a function of the number of pendulums $N$. The result is empirically corroborated by comparing the model with data obtained via a numerical simulation, and by employing Kane's Method integrator in Python.

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Sergio Charles. 2019-11-03. The Lagrangian Mechanics and Pseudo-Periodicity of The Many-Body Planar Pendulum System. https://arxiv.org/abs/1911.04364

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