高阶非Четаев型非完整约束系统动力学

THE DYNAMICS OF HIGHER-ORDER NONHOLONOMIC CONSTRAINTS SYSTEMS OF NON-CHETAEV TYPE

本文给出了高阶非четаен型约束加在广义虚位移上的条件,建立了高阶非Четаев型非线性非完整非有势系统的Euler-Lagrange体系、Nielsen体系和Appell体系的动力学方程,给出了高阶非Четаев型约束系统d与δ之间的交换关系,建立了积分变分原理,并研究了广义守恒律存在的条件与形式。

In this paper, the restricted conditions of generalized virtual displacement for nonholo-nomic constraints of higher-order non chetaev type is provided, and Euler-Lagrange, Niclsenand Appell equations of dynamics of nonlinear nonholonomic nonconservative system of high-er-order non chetaev type are obtained. The reciprocal relationships between 'd' and 'δ'fornonholonomic constraints system of higher-order non chetaev type is provided, and the inte-gral variation principle of the system is obtained. Finally, the generalized conservative lawsof the system are studied.