摘要
将非线性非完整约束曲面上的与其基矢量共线的量和牛顿动力学方程点乘作为非线性非完整系的基本动力学方程．由此导出阿贝尔·查浦雷金、波尔兹曼－海默尔、沃尔脱拉·尼尔逊·马克－麦劳方程和其他类型的方程，而免于附加关于虚位移的阿贝尔－契塔也夫或牛青萍定义，后一定义仅是本理论的推论．
The dot product of the colinear quantity with basis vector on curved surface of constraints and Newton's equations are used as the eqations of fundamental dynamics of mechanic system with non-linear non-holonomic constraints. From this, known equations such as the equations of Appell, Chaplygin, Boltzman-Hamel, Volterra, Nielsen, Mac-Millan and other equations are derived, without definitions by Apell-Chetaev or Niu Qingping for virtual displacement. This is consistent with the D'Alembert-Lagrange's principle and an additional conclusion consistent with the definition by Niu Qingping for virtual displaement is derived.
出处
《福州大学学报（自然科学版）》
CAS
CSCD
1997年第1期13-18,共6页
Journal of Fuzhou University(Natural Science Edition)
关键词
动力学方程
分析力学
非线性
非完整约束系统
non-holonomic constraints, constrained camber
basis vector
dynamic equations
analytic dynamics
