Nonlinear Damping of the 'Linear' Pendulum

Details Nonlinear Damping of the 'Linear' Pendulum Nonlinear Damping of the 'Linear' Pendulum

2003-06-11

arxiv.org/abs/physics/0306081v1

Physics

Classical Physics

18 pages, 10 figures

Scientific paper

This study shows that typical pendulum dynamics is far from the simple equation of motion presented in textbooks. A reasonably complete damping model must use nonlinear terms in addition to the common linear viscous expression. In some cases a nonlinear substitute for assumed linear damping may be more appropriate. Even for exceptional cases where all nonlinearity may be ignored, it is shown that viscous dissipation involves subtleties that can lead to huge errors when ignored.

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