摘要
本文应用广义D′Alembert 原理G_σ^(m)+Q_σ^(m)=0,研讨了任意阶非线性非完整力学系统。在3N 维 Euclid 的 m 阶切空间 E_(3N)^(m)中,推导出该系统的三种形式的动力学方程组。用 G_σ^(m)+Q_σ^(m)=0求解了一例题,并与用所导出的动力学方程求解作了比较。
In this paper a generalized D'Alembert's principle:G_■^(m)+ Q_■^(m)= 0 is used to research the dynamic system of anyorder nonlinear- nonholonomic constraints.Three types of dynamic equations for this system have been derived from 3N-dimensional m-order tangent space An example is given,solved by G_■^(m)+Q_■^(m)=0.And its solution is compared with that of the derived dynamic equations.
关键词
动力学
非完整体系
分析力学
base vectors of Riemann manifold
base vectors of Quasi-Ricmann manifold
inertial force of m-order nonholonomic system G_σ^(m)
given force of m-order nonholonomic system Q_σ^(m)
m-order derivative function of kinetic energy of system
(m-2
