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EnglishDynamic behavior of a weightless rod with a point mass sliding along the rod axis according to periodic law is studied. This is the pendulum with periodically varying length which is also treated as a simple model of a child's swing. Asymptotic expressions for boundaries of instability domains near resonance frequencies are derived. Domains for oscillation, rotation, and oscillation_rotation motions in parameter space are found analytically and compared with a numerical study. Chaotic motions of the pendulum depending on problem parameters are investigated numerically.
http://hdl.handle.net/11697/13147| Titolo: | Dynamics of the pendulum with periodically varying length |
| Autori: | |
| Data di pubblicazione: | 2009 |
| Rivista: | |
| Abstract: | Dynamic behavior of a weightless rod with a point mass sliding along the rod axis according to periodic law is studied. This is the pendulum with periodically varying length which is also treated as a simple model of a child's swing. Asymptotic expressions for boundaries of instability domains near resonance frequencies are derived. Domains for oscillation, rotation, and oscillation_rotation motions in parameter space are found analytically and compared with a numerical study. Chaotic motions of the pendulum depending on problem parameters are investigated numerically. |
| Handle: | http://hdl.handle.net/11697/13147 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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