排序方式: 共有108条查询结果,搜索用时 15 毫秒
11.
IntroductionThestudyofsymmetryandconservedquantityofmechanicalsystemisanimportanttopicinmathematics,mechanicsandphysics .ThemoderntheoriesofsymmetryandconservedquantityofmechanicalsystemincludeNoethersymmetrytheoryandLiesymmetrytheory .In 1979M .Lutzkyando… 相似文献
12.
Two types of Mei adiabatic invariants induced by perturbation of Mei symmetry for nonholonomic controllable mechanical systems are reported. Criterion and restriction equations determining Mei symmetry after being disturbed of the system are established. Form and existence condition of Mei adiabatic invariants are obtained. 相似文献
13.
在导数空间中,将非完整系统变成为形式上的完整系统,建立了导数空间中新型的D’Alembert原理,得到了任意阶非完整系统通常形式和新型形式的GibbsAppell 方程,并给出方程的算例。 相似文献
14.
15.
This paper analyzes the symmetry of Lagrangians and the conserved quantity for the holonomic non-conservative system in the event space. The criterion and the definition of the symmetry are proposed first, then a quantity caused by the symmetry and its existence condition are given. An example is shown to illustrate the application of the result in the end. 相似文献
16.
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
17.
利用Jourdain微分变分原理研究变质量二阶非ЧeTaeB 型非完整系统的守恒律,引入Jourdain生成元,给出无限小变换下Jourdain原理的不变性条件,在一定条件下得到系统的守恒律,由于ЧeTaeB型非完整系统是非ЧeTaeB型非完整系统的特殊情形、常质量系统是变质量系统的特殊情形,因此,所得结果具有普遍意义。给出了应用例子。 相似文献
18.
利用Jourdain微分变分原理研究变质量二阶非Четаев型非完整系统的守恒律 ,引入Jourdain生成元 ,给出无限小变换下Jourdain原理的不变性条件 ,在一定条件下得到系统的守恒律。由于Четаев型非完整系统是非Четаев型非完整系统的特殊情形、常质量系统是变质量系统的特殊情形 ,因此 ,所得结果具有普遍意义。给出了应用例子。 相似文献
19.
20.
The differential equations of motion of a relativistic variable mass system are given.By using the invariance of the differential equations under the infinitesimal transformations of groups,the determining equations and the restriction equations of the Lie symmetries of a relativistic variable mass system are built,and the structure equation and the conserved quantity of the Lie symmetries are obtained.Then the inverse problem of the Lie symmetries is studied.The corresponding Lie symmetries are found according to a known conserved quantity.An example is given to illustrate the application of the result. 相似文献