论两种形式非完整系统哈密顿原理的统一性
On the Uniformity of the Two Forms of Hamilton's principle for the Nonholonomic System
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摘要: 本文从以不同变量表达的拉格朗日函数出发论证了两种形式非完整力学系统哈密顿原理的统一性,修正了非完整系统Cycлов形式哈密顿原理的表达式,并对有关争议问题的实质进行了分析。Abstract: This paper starts its discussion from Lagrangian function expressed by different variables, and then it goes on to expounds and proves the uniformity of the two forms of Hamilton's principle for nonholonomic mechanical system. It also pats forward a re vision of the expression of Suslough's (Cycлов) form of Hamilton's principle for nonholonomic system and analyzes the nature of relevant controversies.
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