Modelling a Variable Mass Pendulum System

Instituto Politécnico Nacional, México, Abraham de Jesús Pablo-Sotelo, Giovani García-Luciano, Instituto Politécnico Nacional, México, Cristopher Hernández Soto, Instituto Politécnico Nacional, México, Jorge Javier Hernández-Gómez, Instituto Politécnico Nacional, México · Memorias del Congreso Nacional de Control Automático · 2024

The study of pendulum-based systems has been a subject of interest, from the cartpendulum and the Kapitza pendulum, among others, which are the most studied. However, one of the less addressed pendulums is the variable mass pendulum, which involves a difficulty not common in other types of systems. Due to this, the modelling of a variable mass system is carried out using the Euler-Lagrange formalism, thus finding a nonlinear system. The dynamic modelling of this system does not delve into the characteristics of variable mass but presents the intrinsic difficulties of such a system.

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