Mac-Millan方程对非线性非完整力学系统的推广
Extension of the Mac-Millan’s Equations to Nonlinear Nonholonomic Mechanical Systems
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摘要: 本文首先将Mac-Millan方程推广到最一般的非完整力学系统,得到非线性非完整系统的广义Mac-Millan方程.其次,证明广义Mac-Millan方程与广义Чаплыгин方程的等价性,最后给出一个例子.Abstract: In this article,the Mac-Millan's equations are extended to the most general nonholonomic mechanical systems and the generalized Mac-Millan's equations for nonlinear nonholonomic systems are obtained. And then the equivalence between the generalized Mac-Millan's equations and the generalized Chaplygin's equations is demonstrated. Finally an example is given.
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