| STABILITY OF MOTION FOR A CONSTRAINED BIRKHOFF'S SYSTEM IN TERMS OF INDEPENDENT VARIABLES |
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| 作者姓名： | 梅凤翔 |
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| 摘 要： | I.IntroductionInl927,AmericanmathematicianG.D.Birkh0ffgaveakindofequationsofdynamicswhichweremoregeneralthantheHamilton'sequationsinhiswork"DynamicalSystems-l'].TheequationsarecalledBirkhofCsequationssuggested.byAmericanphysicianR.M.SantiIIiinl9782j.Inl9…
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| 关 键 词： | dynamics Birkhoff’s system stability of motion |
| 收稿时间： | 16 October 1995 |
Stability of motion for a constrained Birkhoff's system in terms of independent variables |
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| Mei Fengxiang.STABILITY OF MOTION FOR A CONSTRAINED BIRKHOFF'S SYSTEM IN TERMS OF INDEPENDENT VARIABLES[J].Applied Mathematics and Mechanics(English Edition),1997,18(1):55-60. |
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| Authors: | Mei Fengxiang |
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| Institution: | Department of Applied Mechanics. Peking Institute of Technology. Beijing 100081. P. R. China |
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| Abstract: | This paper proposes firstly the pfaff-Birkhoff-D 'Alembert s principle and obtainsthe equations of motion in terms of the independent variables for a constrainedBirkhoff's system from the principle. Secondly, it establishes the equations ofperturbation of the system. Finally, it obtains the stability criteria by using theLiaqpunov direct method and the firstly approximate method. |
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| Keywords: | dynamics Birkhoff's system stability of motion |
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