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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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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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Lie symmetry and conserved quantity of a system of first-order differential equations 总被引:5,自引:0,他引:5 下载免费PDF全文
This paper focuses on studying the Lie symmetry and a conserved quantity of
a system of first-order differential equations. The determining equations of
the Lie symmetry for a system of first-order differential equations, from
which a kind of conserved quantity is deduced, are presented. And their
general conclusion is applied to a Hamilton system, a Birkhoff system and a
generalized Hamilton system. Two examples are given to illustrate
the application of the results. 相似文献
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Special Lie symmetry and Hojman conserved quantity of Appell equations in a dynamical system of relative motion 下载免费PDF全文
Special Lie symmetry and the Hojman conserved quantity for Appell equations in a dynamical system of relative motion are investigated. The definition and the criterion of the special Lie symmetry of Appell equations in a dynamical system of relative motion under infinitesimal group transformation are presented. The expression of the equation for the special Lie symmetry of Appell equations and the Hojman conserved quantity, deduced directly from the special Lie symmetry in a dynamical system of relative motion, are obtained. An example is given to illustrate the application of the results. 相似文献
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Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system 下载免费PDF全文
Mei symmetry and Mei conserved quantity of Appell
equations for a variable mass holonomic system are investigated.
Appell equations and differential equations of motion for a variable
mass holonomic system are established. A new expression of the total
first derivative of the function with respect of time t along the
systematic motional track curve, and the definition and the
criterion of Mei symmetry for Appell equations under the
infinitesimal transformations of groups are given. The expressions
of the structural equation and Mei conserved quantity for Mei
symmetry in Appell 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 Lie symmetry of the Lagrange system. Firstly, the
criterion of Lie symmetry for the Lagrange system is given. Secondly,
the conditions of existence of the new conserved quantity as well as
its forms are proposed. Lastly, an example is given to illustrate
the application of the result. 相似文献