Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 劉務本 | en_US |
dc.contributor.author | Liu, Wu-Pen | en_US |
dc.contributor.author | 戈正銘 | en_US |
dc.contributor.author | Ge, Zheng-Ming | en_US |
dc.date.accessioned | 2014-12-12T02:18:09Z | - |
dc.date.available | 2014-12-12T02:18:09Z | - |
dc.date.issued | 1996 | en_US |
dc.identifier.uri | http://140.113.39.130/cdrfb3/record/nctu/#NT853489026 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/62374 | - |
dc.description.abstract | 本篇論文提出兩個不同於傳統N. G. Chetaeff不穩定性定理的兩個 新定理(各自對自治及非自治系統),藉由檢驗V函數的高次導數,來 判別系統的不穩定性。經由本理論之第一個定理,自由陀螺儀因框架 質量所造成的漂移現象能夠得到證明,此外,並提出一些二階微分方 程作為本理論的應用實例。 | zh_TW |
dc.description.abstract | Two theorems of instability, different from the traditional Cheataeffs instability theorem are developed. The theorems determine instability of autonomous and non-autonomous dynamical systems by means of investigating the higher-order derivatives of the Lyapunov function. Using the first theorem of these theorems, the walk of a free gyroscope which is caused by the mass of the gimbals can be proven. Furthermore, several second-order differential equations are presented as the applications of these two theorems. | en_US |
dc.language.iso | zh_TW | en_US |
dc.subject | 自由陀螺 | zh_TW |
dc.subject | 不穩定定理 | zh_TW |
dc.title | 兩個不穩定性定理及其對自由陀螺穩定性的應用 | zh_TW |
dc.title | Two Theorems of Instabiility with Application to the Stability of a Free Gyroscope | en_US |
dc.type | Thesis | en_US |
dc.contributor.department | 機械工程學系 | zh_TW |
Appears in Collections: | Thesis |