Perturbation of symmetries for super-long elastic slender rods

doi:10.1088/1674-1056/20/12/120201

中国物理B ›› 2011, Vol. 20 ›› Issue (12): 120201-120201.doi: 10.1088/1674-1056/20/12/120201

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Perturbation of symmetries for super-long elastic slender rods

方建会¹, 丁宁²

(1)College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China; (2)Institute of Theoretical Physics, Department of Physics and Electronics Science, Binzhou University, Binzhou 256600, China

收稿日期:2011-05-10 修回日期:2011-07-08 出版日期:2011-12-15 发布日期:2011-12-15
基金资助:
Project supported by the Natural Science Foundation of Shandong Province of China (Grant No. ZR2009AQ011) and Science Foundation of Binzhou University, China (Grant No. BZXYG0903).

Perturbation of symmetries for super-long elastic slender rods

Ding Ning(丁宁)^a)^† and Fang Jian-Hui(方建会)^b)

^a Institute of Theoretical Physics, Department of Physics and Electronics Science, Binzhou University, Binzhou 256600, China; ^b College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China

Received:2011-05-10 Revised:2011-07-08 Online:2011-12-15 Published:2011-12-15
Supported by:
Project supported by the Natural Science Foundation of Shandong Province of China (Grant No. ZR2009AQ011) and Science Foundation of Binzhou University, China (Grant No. BZXYG0903).

摘要/Abstract

摘要： This paper analyses perturbations of Noether symmetry, Lie symmetry, and form invariance for super-long elastic slender rod systems. Criterion and structure equations of the symmetries after disturbance are proposed. Considering perturbation of all infinitesimal generators, three types of adiabatic invariants induced by perturbation of symmetries for the system are obtained.

关键词: super-long elastic slender rod, symmetry, perturbation, adiabatic invariant

Abstract: This paper analyses perturbations of Noether symmetry, Lie symmetry, and form invariance for super-long elastic slender rod systems. Criterion and structure equations of the symmetries after disturbance are proposed. Considering perturbation of all infinitesimal generators, three types of adiabatic invariants induced by perturbation of symmetries for the system are obtained.

Key words: super-long elastic slender rod, symmetry, perturbation, adiabatic invariant

中图分类号: (Lie algebras of Lie groups)

02.20.Sv

11.30.-j (Symmetry and conservation laws) 46.25.-y (Static elasticity)

丁宁, 方建会. Perturbation of symmetries for super-long elastic slender rods[J]. 中国物理B, 2011, 20(12): 120201-120201.

Ding Ning(丁宁) and Fang Jian-Hui(方建会) . Perturbation of symmetries for super-long elastic slender rods[J]. Chin. Phys. B, 2011, 20(12): 120201-120201.

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Perturbation of symmetries for super-long elastic slender rods

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