Oscillation time and damping coefficients in a nonlinear pendulum

Publication date: 22 January 2021

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.

Has companion code repository: https://github.com/arangogithub/Oscillation-time

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

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