事件空间中高阶单面非完整系统的守恒律

Conservation Laws of High-Order Nonholonomic Systems in Event Space

研究了事件空间中高阶单面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单面非完整系统的守恒律;最后举例说明结果的应用。

The conservation law of high-order nonholomic system in event space is studied. Firstly,the universal d'Alembert principle in the event space is given;and Dolaptchiew synchronous variation and asynchonous varitaion. Secondly,the conservation law of nonholonomic system in the event space ,which are based upon the ivariance of the principle under the infinitesimal transformation is obtained. Finally, an example to illustrate the application of the result is given.