The Lagrangian Dynamics of the Double Pendulum
DOI:
https://doi.org/10.5281/zenodo.20785609Keywords:
Pêndulo duplo, Conservação da energia, Formalismo langrageano.Abstract
This work aims to provide a mathematical treatment of the double pendulum using lagrangian formalism. The double pendulum consists of a pendulum coupled to another pendulum through its mass.Double pendulum presents a more complex dynamics than simple pendulum, and demonstrates sensitivity to the initial conditions. Mathematical pendulum models are used for studies of different physical systems. In this work is proposed the use of lagrangean formulation to describe the double pendulum with its non-linear dynamic behavior.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2019 CIENTEC - Revista de Ciência, Tecnologia e Humanidades do IFPE
This work is licensed under a Creative Commons Attribution 4.0 International License.
I expressly declare that the manuscript submitted to the CIENTEC Journal is original, unpublished, and that its publication does not violate third-party rights. The listed authors have approved the final version of the document and assume exclusive responsibility for the opinions expressed in the work. I authorize the grammatical and orthographic revision of the text by the editorial team, provided that it does not entail alterations to the empirical or theoretical content.
I declare that the preparation of the article is of an academic and non-remunerated nature. The authors retain unrestricted ownership of the copyright to the work (moral and economic rights), granting the Federal Institute of Education, Science and Technology of Pernambuco (IFPE) and the CIENTEC Journal exclusively the right of first publication.
I authorize the editing, dissemination, and distribution of the text, in both print and electronic media, under the Creative Commons Attribution 4.0 International license (CC BY 4.0). This license permits the sharing, reproduction, and adaptation of the work by third parties, provided that authorship credit is attributed and the initial publication in this journal is cited.
