弱非完整系统的近似守恒量

Approximate conserved quantity of a weakly nonholonomic system

建立弱非完整系统的运动微分方程,其中包含小参数.将无限小变换的生成元和规范函数按小参数的幂级数展开并代入系统的广义Noether等式,利用Noether定理求得系统的近似守恒量.

The differential equations of motion of a weakly nonholonomic system in which there is a small parameter are established.We develope the generators of infinitesimal transformations and the gauge function via the multiple power-series expansion of the parameter and substitute them into a generalized Noether identity.The Noether theorem is used to obtain an approximate conserved quantity.