事件空间中高阶非完整系统的守恒律

Conservation laws of high-order nonholonomic systems in event space

研究事件空间中高阶非完整系统的守恒律 首先给出事件空间中的万有D Alembert原理和引入Dolaptchiew等参数变分及非等参数变分 ;其次基于该原理在无限小群变换下的不变性 ,得到事件空间中高阶非完整系统的守恒律 ;最后举例说明结果的应用 参

To study the conservation laws of high-order nonholonomic systems in event space. Firstly, this paper presents the universal D'Alembert principle in the event space and lead into Dolaptchiew synchronous variation and asynchronous variation. Secondly, it obtains the conservation laws of nonholonomic systems in the event space, which are based upon the invariance of the principle under the infinitesimal transformations. Finally, gives an example to illustrate the application of the result. 14refs.