由機械能守恒給出第二類Lagrange方程的探究
發(fā)布時間：2018-12-08 07:13
【摘要】：保守系統(tǒng)的運動微分方程,可以使用第二類Lagrange方程列寫,從Langrage方程也可以推導(dǎo)出保守系統(tǒng)的機械能守恒.有老師提到,曾有學(xué)生在作業(yè)中用機械能守恒給出正確的Lagrange方程.本文探討這種做法的可行性,并針對某些特殊情況給出了由機械能守恒得到Lagrange方程的具體步驟.
[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.
【作者單位】： 清華大學(xué)航天航空學(xué)院;
【分類號】：O31;O302
本文編號：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.
【作者單位】： 清華大學(xué)航天航空學(xué)院;
【分類號】：O31;O302
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1 顏蓉;馬善鈞;楊學(xué)慧;;準(zhǔn)坐標(biāo)系下的三階Lagrange方程的一種推導(dǎo)[J];江西師范大學(xué)學(xué)報(自然科學(xué)版);2006年04期
2 顏振玨;非慣性參照系中的Lagrange方程[J];黔南民族師范學(xué)院學(xué)報;2004年06期
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