Oscillation time and damping coefficients in a nonlinear pendulum

2021/01/23 by Jaime Arango, Arango, Jaime
Engineering · Physics and Astronomy · #34C15 #34C25 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Control and Stability of Dynamical Systems #Experimental and Theoretical Physics Studies #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2101.09400

openalex publication_date 2021/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish a relationship between the normalized damping coefficients and the time that takes a nonlinear pendulum to complete one oscillation starting from an initial position with vanishing velocity. We establish some conditions on the nonlinear restitution force so that this oscillation time does not depend monotonically on the viscosity damping coefficient.

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