The forms of three-order Lagrangian equation in relative motion

doi:10.1088/1009-1963/14/2/004

中国物理B ›› 2005, Vol. 14 ›› Issue (2): 244-246.doi: 10.1088/1009-1963/14/2/004

The forms of three-order Lagrangian equation in relative motion

马善钧, 刘明萍, 黄沛天

College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330027, China

收稿日期:2004-08-04 修回日期:2004-10-04 出版日期:2005-03-02 发布日期:2005-03-02

The forms of three-order Lagrangian equation in relative motion

Ma Shan-Jun (马善钧), Liu Ming-Ping (刘明萍), Huang Pei-Tian (黄沛天)

College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330027, China

Received:2004-08-04 Revised:2004-10-04 Online:2005-03-02 Published:2005-03-02

摘要/Abstract

摘要： In this paper, the general expressions of three-order Lagrangian equations in a motional coordinate system are obtained. In coordinate systems with some specific forms of motion, the expressions corresponding to these equations are also presented.

Abstract: In this paper, the general expressions of three-order Lagrangian equations in a motional coordinate system are obtained. In coordinate systems with some specific forms of motion, the expressions corresponding to these equations are also presented.

Key words: three order Lagrangian equations, relative motion, time rate of change of force

中图分类号: (General theory of classical mechanics of discrete systems)

45.05.+x

45.20.Jj (Lagrangian and Hamiltonian mechanics) 03.30.+p (Special relativity)

马善钧, 刘明萍, 黄沛天. The forms of three-order Lagrangian equation in relative motion[J]. 中国物理B, 2005, 14(2): 244-246.

Ma Shan-Jun (马善钧), Liu Ming-Ping (刘明萍), Huang Pei-Tian (黄沛天). The forms of three-order Lagrangian equation in relative motion[J]. Chinese Physics, 2005, 14(2): 244-246.

[1]	叶建春, 李俊, 陈晓红, 黄素梅, 欧阳威. Enhancement of corona discharge induced wind generation with carbon nanotube and titanium dioxide decoration[J]. 中国物理B, 2019, 28(9): 95202-095202.
[2]	宋宗斌, 杨雪滢, 封文星, 席忠红, 李烈娟, 石玉仁. Decaying solitary waves propagating in one-dimensional damped granular chain[J]. 中国物理B, 2018, 27(7): 74501-074501.
[3]	王扶刚, 杨阳阳, 韩娟芳, 段文山. Head-on collision between two solitary waves in a one-dimensional bead chain[J]. 中国物理B, 2018, 27(4): 44501-044501.
[4]	杜文青, 孙建安, 杨阳阳, 段文山. Envelope solitary waves and their reflection and transmission due to impurities in a granular material[J]. 中国物理B, 2018, 27(1): 14501-014501.
[5]	崔金超, 刘世兴, 宋端. A necessary and sufficient condition for transforming autonomous systems into linear autonomous Birkhoffian systems[J]. 中国物理B, 2013, 22(10): 104501-104501.
[6]	赵纲领, 陈立群, 傅景礼, 洪方昱. Mei symmetry and conservation laws of discrete nonholonomic dynamical systems with regular and irregular lattices[J]. 中国物理B, 2013, 22(3): 30201-030201.
[7]	张伟伟, 方建会 . Noether–Mei symmetry of discrete mechanico-electrical system[J]. 中国物理B, 2012, 21(11): 110201-110201.
[8]	张克军, 方建会, 李燕. Perturbation to Mei symmetry and Mei adiabatic invariants for discrete generalized Birkhoffian system[J]. 中国物理B, 2011, 20(5): 54501-054501.
[9]	王苍龙, 段文山, 陈建敏, 石玉仁. Anisotropic character of atoms in a two-dimensional Frenkel–Kontorova model[J]. 中国物理B, 2011, 20(1): 14601-014601.
[10]	董文山, 黄宝歆, 方建会. Noether's theory of generalized linear nonholonomic mechanical systems[J]. 中国物理B, 2011, 20(1): 10204-010204.
[11]	陶司兴, 夏铁成. The super-classical-Boussinesq hierarchy and its super-Hamiltonian structure[J]. 中国物理B, 2010, 19(7): 70202-070202.
[12]	张毅. Conformal invariance and Noether symmetry, Lie symmetry of holonomic mechanical systems in event space[J]. 中国物理B, 2009, 18(11): 4636-4642.
[13]	李元成, 夏丽莉, 王小明. Conformal invariance and generalized Hojman conserved quantities of mechanico-electrical systems[J]. 中国物理B, 2009, 18(11): 4643-4649.
[14]	张明江, 方建会, 路凯, 张克军, 李燕. Conformal invariance and conserved quantity of third-order Lagrange equations for non-conserved mechanical systems[J]. 中国物理B, 2009, 18(11): 4650-4656.
[15]	傅景礼, 聂宁明, 黄健飞, Jimé nez Salvador, 唐贻发, Vá zquez Luis, 赵维加. Noether conserved quantities and Lie point symmetries of difference Lagrange--Maxwell equations and lattices[J]. 中国物理B, 2009, 18(7): 2634-2641.

The forms of three-order Lagrangian equation in relative motion

The forms of three-order Lagrangian equation in relative motion

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0