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41.
方建会 《宁夏大学学报(自然科学版)》1991,(4)
本文给出变质量力学系统的相对论性Jourdain变分原理,建立变质量非线性非完整力学系统的相对论性广义Mac-Millan方程,并从该方程推导出变质量非线性非完整力学系统的相对论性广义方程。 相似文献
42.
A New type of conserved quantity deduced from Mei symmetry of nonholonomic systems in terms of quasi-coordinates 下载免费PDF全文
This paper studies the new type of conserved quantity which is directly induced by Mei symmetry of nonholonomic systems in terms of quasi-coordinates. A coordination function is introduced, and the conditions for the existence of the new conserved quantities as well as their forms are proposed. Some special cases are given to illustrate the generalized significance of the new type conserved quantity. Finally, an illustrated example is given to show the
application of the nonholonomic system's results. 相似文献
43.
变质量系统相对论力学速度空间中的变分原理 总被引:4,自引:0,他引:4
本文给出变质量系统相对论力学速度空间中的变分原理,由此得到变质量系统相对论力学的Lagrange方程。 相似文献
44.
变质量高阶非线性非完整系统的Gibbs—Appell方程 总被引:1,自引:0,他引:1
本文推导出变质量高阶非线性非完整系统的Gibbs—Appell方程。 相似文献
45.
The Noether symmetry,the Mei symmetry and the conserved quantities of discrete generalized Birkhoffian system are studied in this paper.Using the difference discrete variational approach,the difference discrete variational principle of discrete generalized Birkhoffian system is derived.The discrete equations of motion of the system are established.The criterion of Noether symmetry and Mei symmetry of the system is given.The discrete Noether and Mei conserved quantities and the conditions for their existence are obtained.Finally,an example is given to show the applications of the results. 相似文献
46.
Noether‘s theory of a rotational relativistic variable mass system is studied.Firstly,Jourdain‘s principle of the rotational relativistic variable mass system is given.Secondly,on the basis of the invariance of the Jourdain‘s principle under the infinitesimal transformations of groups,Noether‘s theorem and its inverse theorem of the rotational relativistic variable mass system are presented.Finally,an example is given to illustrate the application of the result. 相似文献
47.
Lie symmetries and conserved quantities of second-order nonholonomic mechanical system 总被引:3,自引:0,他引:3
方建会 《应用数学和力学(英文版)》2002,23(9):1105-1110
The Lie symmetries and the conserved quantities of the second-order nonholonomic mechanical system are studied. Firstly, by using the invariance of the differential equation of motion under the infinitesimal transformations, the determining equations and the restriction equations of the Lie symmetries of the system are established, and the structure equation and the conservative quantities of the Lie symmetries are obtained. Secondly , the inverse problems of the Lie symmetries are studied . Finally , an example is given to illustrate the application of the result. 相似文献
48.
The Lie symmetry and the Mei symmetry of a rotational relativistic system in phase space are studied. The definition, criterion and conserved quantity of the Lie symmetry and the Mei symmetry of a rotational relativistic system in phase space are given. The relation between the Lie symmetry and the Mei symmetry is found. An example is given to illustrate the application of the result. 相似文献
49.
Perturbation to Lie symmetry and another type of Hojman adiabatic invariants for Birkhoffian systems 下载免费PDF全文
The perturbation to Lie symmetry and another type of Hojman adiabatic invariants induced from the perturbation to Lie symmetry for Birkhoffian systems are studied. The exact invariants of Lie symmetry for the system without perturbation are given. Based on the concept of adiabatic invariant, the perturbation to Lie symmetry is discussed and another new type of Hojman adiabatic invariants that have the different form from that in [Acta Phys. Sin. 55 3833] for the perturbed system are obtained. 相似文献
50.