摘要
应用Gauss变分原理给出Boltzmann-Hamel方程的一种简洁推导,证明了该方程与准坐标下广义Mac-Millan方程的等价性.并把Ghori方程推广到受非有势力作用的广义有势系统,证明了广义Ghori方程与广义Routh方程的等价性。
The Gauss variational principle is used to present a new simple demonstration of the Boltzmann-
Hamel equations. The equivalence between the equations and the generalized Mac-Millan equations
in terms of quasi-coordinat is proven. The Ghori equations are extended to the generalized potential
systems applied non-potential forces. The equivalence between the generalized Ghori equations and
the generalized Routh equations is illustrated.
出处
《鞍山钢铁学院学报》
1991年第4期30-35,共6页
Journal of Anshan Institute of Iron and Steel Technology
关键词
非线性
非完整系统
运动方程
non-holonomic constriant
nonlinearity
the Boltzmann-Hamel equation
the Ghori equation
equivalence
