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| STABILITY OF MOTION FOR A CONSTRAINED BIRKHOFF'S SYSTEM IN TERMS OF INDEPENDENT VARIABLES | |
| 引用本文： | 梅凤翔. STABILITY OF MOTION FOR A CONSTRAINED BIRKHOFF'S SYSTEM IN TERMS OF INDEPENDENT VARIABLES[J]. 应用数学和力学(英文版), 1997, 18(1): 55-60. DOI: 10.1007/BF02457501 |
| 作者姓名： | 梅凤翔 |
| 摘 要： | I.IntroductionInl927,AmericanmathematicianG.D.Birkh0ffgaveakindofequationsofdynamicswhichweremoregeneralthantheHamilton'sequationsinhiswork"DynamicalSystems-l'].TheequationsarecalledBirkhofCsequationssuggested.byAmericanphysicianR.M.SantiIIiinl978[2j.Inl9… |
| 关 键 词： | dynamics Birkhoff’s system stability of motion |
| 收稿时间： | 1995-10-16 |
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. DOI: 10.1007/BF02457501 | |
| Authors: | Mei Fengxiang |
| Affiliation: | Department of Applied Mechanics. Peking Institute of Technology. Beijing 100081. P. R. China |
| 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. |
| Keywords: | dynamics Birkhoff's system stability of motion |
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