Periodic stimulation sometimes stabilizes dynamic movement of mechanical systems. In this paper, we investigate the dish spinning trick from a view point of such a periodic stabilization. The system is simply described by using a spring-dumper model of the supporting rod which has two degree of freedom. In our analysis, the movement of the dish is stabilized when the elastic rod is shaken in higher frequency than its native resonant frequency. Our theory is checked by letting a robot play the real dish spinning.
皿まわしの数理とロボットによる実現
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