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变质量Chetaev型非完整系统Appell方程的Mei对称性和Mei守恒量
Mei symmetry and Mei conserved quantity of Appell equations for nonholonomic systems of Chetaev＇s type with variable mass
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摘要: 研究变质量Chetaev型非完整系统Appell方程的Mei对称性和Mei守恒量.建立变质量Chetaev型非完整系统的Appell方程和系统的运动微分方程;给出函数沿系统运动轨道曲线对时间t全导数的表示式,并在群的无限小变换下,给出变质量Chetaev型非完整系统Appell方程Mei对称性的定义和判据;得到用Appell函数表示的Mei对称性的结构方程和Mei守恒量的表达式,并举例说明结果的应用.Abstract: Mei symmetry and Mei conserved quantity of Appell equation for a nonholonomic system of Chetaev＇s type with variable mass are studied.The Appell equation and differential equation of motion of the system are set up.The expression of the total derivative of the function along the trajectory of the system with respect to t,the definition and criterion of Mei symmetry of Appell equation for a nonholonomic system of Chetaev＇s type with variable mass under the infinitesimal transformation of group are given.The structural equation of Mei symmetry and the expression of Mei conserved quantity expressed by Appell equation are obtained.An example is given to illustrate the application of the results.
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