具有单面约束的非完整动力学系统的积分因子和守恒定理

Integrating Factors And Conservation Theorems For Nonholonomic Dynamical Systems With Unilateral Constrains

本文提出了动力学系统守恒定律构成的一般途径 .首先 ,给出积分因子的定义 ,其次 ,详细地研究了守恒量存在的必要条件 ,建立了具有单面约束的非完整动力学系统的守恒定理及其逆定理 ,并举例说明结果的应用 .

In this paper,a general approach to the construction of conservation laws for dynamical systems was presented.First,the definition of integrating factors was given,necessary conditions for existence of the comserved quantities were studied in detail.Next,the conservation theorem and its inverse theorem for nonholonomic dynamical systems with unilateral constrains were established.Finally,an example was given to illustrate the application of the result