变质量高阶非完整力学系统的运动微分方程
Equations of Motion of Variable Mass in High-Order Non-Holonomic Mechanical System
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摘要: 本文建立变质量力学系统的万有D'Alembert原理,由此导出变质量高阶非完整力学系统各种形式的运动微分方程,最后举例说明这些新型方程的应用.Abstract: The paper establishes the universal D'Alembert's principle in variable mass mechanical system. Then derives the different kinds of the differential equations of variable mass in high-order non-holonomic mechanical system.Finally, the applications for example are illustrated by these new equations.
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[1] Новотелов В.С.,Уравнения нелинейных неголономных систем с переменными массми,Весмн.ЛГУ,19(1959). [2] Mei Feng-xiang,Nouvelles équations du mouvement des systèmes mécanigues non holonomes,Thèse d"Etat,Nantes France,Mai(1982). [3] 梅凤翔,变质量非完整力学系统的广义Nielsen方程,兵工学报,3 (1983). [4] Mei Feng-xiang,P.Capodanno,Sur les équations du monvement des systeches non holonomes de masse Variable,Rev.Rown.Sci,techn.Ser,Méc.appl.,28,2 (1983). [5] René Van Dooren,On a new form of the lagrange equations,ZAMP,28(1975). [6] 刘正福、金伏生、梅凤翔,分析力学中的高阶Nielsen算子和高阶Euler算子(待发表). [7] Hamel,G.,Theoretische Mechanik,S-V,Berlin(1949). -
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