中文摘要：

研究了非完整系统的共形不变性与新型守恒量。提出了该系统共形不变性的概念；得出了非完整系统的运动微分方程具有共形不变性并且是Lie对称性的充要条件。利用规范函数满足的新型结构方程，导出系统相应的新型守恒量。最后给出应用算例。

英文摘要：

Conformal invariance and a new type of conserved quantity in nonholonomic mechanical system are studied. The definition and determining equation of conformal invariance for the nonholonomic mechanical system are provided;and the necessary and sufficient conditions that the conformal invariance for a nonholonomic mechanical system should be of Lie symmetry are deduced. With the aid of a new structure equation that the gauge function satisfies, the system’s corresponding new conserved quantity is obtained. Finally an example is given to illustrate the application of the results.