共查询到16条相似文献,搜索用时 109 毫秒
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研究事件空间中单面非Chetaev型非完整系统Nielsen方程的Mei对称性和Mei守恒量.建立系统的运动微分方程,给出系统Mei对称性、弱Mei对称性、强Mei对称性的定义和判据,得到由Mei对称性直接导致的Mei守恒量的存在条件以及Mei守恒量的表达式.举例说明结果的应用.
关键词:
事件空间
Nielsen方程
单面非Chetaev型非完整系统
Mei守恒量 相似文献
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研究Lagrange系统的Mei对称性直接导致的一种守恒量. 给出系统的Mei对称性的定义和判据方程, 得到系统Mei对称性直接导致的一种守恒量的条件和形式,并举例说明结果的应用.
关键词:
Lagrange系统
Mei对称性
守恒量 相似文献
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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.
关键词:
变质量
非完整系统
Appell方程
Mei守恒量 相似文献
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研究单面非Chetaev型非完整约束力学系统的对称性与非Noether守恒量.建立了系统的运动微分方程;给出了系统的Lie对称性和Mei对称性的定义和判据;对于单面非Chetaev型非完整系统,证明了在一定条件下,由系统的Lie对称性可直接导致一类新守恒量——Hojman守恒量,由系统的Mei对称性可直接导致一类新守恒量——Mei守恒量;研究了对称性和新守恒量之间的相互关系.文末,举例说明结果的应用.
关键词:
分析力学
单面约束
非完整系统
对称性
Hojman守恒量
Mei守恒量 相似文献
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This paper investigates structure equation and Mei conserved quantity
of Mei symmetry of Appell equations for non-Chetaev nonholonomic
systems. Appell equations and differential equations of motion for
non-Chetaev nonholonomic mechanical systems are established. A new
expression of the total derivative of the function with respect to
time $t$ along the trajectory of a curve of the system is obtained,
the definition and the criterion of Mei symmetry of Appell equations
under the infinitesimal transformations of groups are also given. The
expressions of the structure equation and the Mei conserved quantity
of Mei symmetry in the Appell function are obtained. An example is
given to illustrate the application of the results. 相似文献
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This paper investigates structure equation and Mei conserved quantity of Mei symmetry of Appell equations for non-Chetaev nonholonomic systems. Appell equations and differential equations of motion for non-Chetaev nonholonomic mechanical systems are established. A new expression of the total derivative of the function with respect to time t along the trajectory of a curve of the system is obtained, the definition and the criterion of Mei symmetry of Appell equations under the infinitesimal transformations of groups are also given. The expressions of the structure equation and the Mei conserved quantity of Mei symmetry in the Appell function are obtained. An example is given to illustrate the application of the results. 相似文献
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This paper studies a new type of conserved quantity which is directly
induced by Mei symmetry of the Lagrange system. Firstly, the
definition and criterion of Mei symmetry for the Lagrange system are
given. Secondly, a coordination function is introduced, and the
conditions of existence of the new conserved quantity as well as its
forms are proposed. Lastly, an illustrated example is given. The
result indicates that the coordination function can be selected
properly according to the demand for finding the gauge function, and
thereby the gauge function can be found more easily. Furthermore,
since the choice of the coordination function has multiformity, many
more conserved quantities of Mei symmetry for the Lagrange system
can be obtained. 相似文献
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A non-Noether conserved quantity, i.e., Hojman conserved quantity, constructed by using Mei symmetry for the nonholonomic controllable mechanical
system, is presented. Under general infinitesimal transformations, the
determining equations of the special Mei symmetry, the constrained restriction equations, the additional restriction equations, and the definitions of the weak Mei symmetry and the strong Mei symmetry of the nonholonomic controllable
mechanical system are given. The condition under which Mei symmetry is a Lie symmetry is obtained. The form of the Hojman conserved quantity of the
corresponding holonomic mechanical system, the weak Hojman conserved
quantity and the strong Hojman conserved quantity of the nonholonomic controllable mechanical system are obtained. An example is given to illustrate the application of the results. 相似文献