摘要
对于高阶非线性非完整系统,证明了微分运算d和变分运算σ的顺序可以交换。利用这种可交换性和变分原理,得到了高阶非完整系统的Vacco动力学方程而不必对广义虚位移附加任何条件。最后举例说明了这类新方程的应用及与传统非完整力学结果的异同。
This paper proves that the differential operation d and the variational operation δ are commutative for high-order nonholonomic systems. Using the commutativity and the variational principles, the equation of Vacco dynamics for high-order nonholonomic systems is derived, without adding other conditions to generalized virtual displacements. Finally examples are given to illustrate the application of the new equation and the results here are compared with the known ones.
出处
《鞍山钢铁学院学报》
1992年第1期34-39,共6页
Journal of Anshan Institute of Iron and Steel Technology
关键词
VACCO动力学
高阶
非完整系统
Vacco dynamics
commutativity of d-δoperations
high-order nonlinear nonholonomic constraint.
