由机械能守恒给出第二类Lagrange方程的探究
发布时间：2018-12-08 07:13
【摘要】：保守系统的运动微分方程,可以使用第二类Lagrange方程列写,从Langrage方程也可以推导出保守系统的机械能守恒.有老师提到,曾有学生在作业中用机械能守恒给出正确的Lagrange方程.本文探讨这种做法的可行性,并针对某些特殊情况给出了由机械能守恒得到Lagrange方程的具体步骤.
[Abstract]:The differential equations of motion of conservative systems can be written by Lagrange equations of the second kind, and the conservation of mechanical energy of conservative systems can also be derived from the Langrage equation. Some teachers mentioned that some students used the conservation of mechanical energy to give the correct Lagrange equation in their homework. In this paper, the feasibility of this method is discussed, and the concrete steps for obtaining the Lagrange equation from the conservation of mechanical energy are given for some special cases.
【作者单位】： 清华大学航天航空学院;
【分类号】：O31;O302
本文编号：2367933
[Abstract]:The differential equations of motion of conservative systems can be written by Lagrange equations of the second kind, and the conservation of mechanical energy of conservative systems can also be derived from the Langrage equation. Some teachers mentioned that some students used the conservation of mechanical energy to give the correct Lagrange equation in their homework. In this paper, the feasibility of this method is discussed, and the concrete steps for obtaining the Lagrange equation from the conservation of mechanical energy are given for some special cases.
【作者单位】： 清华大学航天航空学院;
【分类号】：O31;O302
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