On the basis of applying second-order tangential space and Riemann space in 3N dimension Euclid space [4], the writers have derived the integral variati- onal principles in Riemann form for first-order and second-order non- holonomic dynamical systems.

• 本文在引进3N维Euclid基本空间的二阶切空间及Riemann空间中,提出一、二阶非完整力学系统的积分变分原理的Riemann形式。