非完整约束系统的变分形式
On the variational formulation of systems with non-holonomic constraints
摘要：
在作者以前的一篇文章中，它表明，人们可以有效地给一个变分制定的非保守力学系统开始与第一变分功能，而不是一个行动的功能。在这篇文章中，它表明，这种相同的方法也将允许一个给一个变分制定系统的非完整约束。关键是在公式中使用一个自适应的非完整局部标架场，这意味着用协变导数代替普通导数。然后将该方法应用于平面上无滑动或无摩擦的垂直圆盘滚动的情况。
英文摘要：
In a previous article by the author, it was shown that one could effectively give a variational formulation to non-conservative mechanical systems by starting with the first variation functional instead of an action functional. In this article, it is shown that this same approach will also allow one to give a variational formulation to systems with non-holonomic constraints. The key is to use an adapted anholonomic local frame field in the formulation, which then implies the replacement of ordinary derivatives with covariant ones. The method is then applied to the case of a vertical disc rolling without slipping or friction on a plane.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
