非Chetaev型非完整系统Raitzin正则方程的Hojman守恒定理

Hojman’s Conservation Theorems for Raitzin’s Canonical Equations of Nonholonomic Systems of Non-Chet

摘要: 利用时间不变的无限小变换下的L ie对称性,研究了非Chetaev型非完整系统的Raitzin正则方程的Hojm an守恒定理,列出了系统的运动微分方程,建立了时间不变的无限小变换下的确定方程,给出了系统的Hojm an守恒定理,并举例说明结果的应用.

Abstract: Using the Lie symmetry under infinitesimal transformations in which the time is not variable,the Hojman's conservation theorems for Raitzin's canonical equations of nonholonomic systems of non-Chetaev's type are studied.The differential equations of the systems and the determining equations of Lie symmetry under infinitesimal transformations are given.The Hojman's conservation theorems of the systems are established.Finally,we give an example to illustrate the application of the result.