摘要
对于完整约束的力学系统,不直接消去不独立坐标,而是在作用量中引入Lagrange乘子,本文介绍了带Lagrange有乘子的拉氏和哈氏形式的变分原理,以及介绍带有Lagrange乘子的差分系统的离散变分方法和其差分离散变分方法,并且把所得结果与传统形式(即消去不独立坐标)的结果进行比较.
For a complete constraints mechanical system,we did not expunction noindependent coordinates,but introduce Lagrange-multiplier in action-quantity.We are introduced variation principle of both lagrange form and Hamilton form with Lagrange-multiplier.Also we are introduce the discrete variation method of difference system and difference discrete variation method with Lagrange-multiplier.Last compare the results with the traditional form(expunction no-independent coordinates) in example.
出处
《首都师范大学学报(自然科学版)》
2011年第1期9-12,共4页
Journal of Capital Normal University:Natural Science Edition
基金
国家自然科学基金重点项目(批准号:11031005)资助课题