dorsal/arxiv
View SchemaNonlinear Damping of the 'Linear' Pendulum
| Authors | Randall D. Peters |
|---|---|
| Categories | |
| ArXiv ID | physics/0306081 |
| URL | https://arxiv.org/abs/physics/0306081 |
Abstract
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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"date_created": "2026-03-02T18:00:43.216000Z",
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"abstract": "This study shows that typical pendulum dynamics is far from the simple\nequation of motion presented in textbooks. A reasonably complete damping model\nmust use nonlinear terms in addition to the common linear viscous expression.\nIn some cases a nonlinear substitute for assumed linear damping may be more\nappropriate. Even for exceptional cases where all nonlinearity may be ignored,\nit is shown that viscous dissipation involves subtleties that can lead to huge\nerrors when ignored.",
"arxiv_id": "physics/0306081",
"authors": [
"Randall D. Peters"
],
"categories": [
"physics.class-ph",
"physics.ed-ph"
],
"title": "Nonlinear Damping of the \u0027Linear\u0027 Pendulum",
"url": "https://arxiv.org/abs/physics/0306081"
},
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