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  • 學位論文

A Model of Swing Problem

鞦韆問題的一個模型

指導教授 : 陳樹杰
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摘要


The problem of swinging a pendulum is considered by assuming that the length of the pendulum depends on the swing angle. The motion is controlled by jumping between energy level curves. These energy jumps are achieved by changing the length of the pendulum. Also, the stabilities of relative equilibria are checked by Routh’s criterion.

關鍵字

鞦韆問題

參考文獻


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[4] A.S. Shiriaev, H.Ludvigsen, O. Egeland. Swinging up the spherical pendulum via stabi-
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and System, vol. 5, no. 4, pp.379-387, 2007.

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