非完整力学系统的高阶Routh方程及其正则形式

Higher order Routh equations of a non-holonomic mechanical system and its canonical form

依据微分变分原理,建立了非完整力学系统的高阶Routh方程,给出了非完整非保守系统和保守系统高阶Routh方程的正则形式。该结果是对前人研究结果的进一步拓展。

According to differential variational principles, the higher order Routh equations of non-liner non-holonomic mechanical systems were developed, and the canonical form of higher order Routh equations of non-holonomic non-conservative and conservative systems were obtained. These results generalize some results obtained by predecessors.