Perturbation of symmetries for super-long elastic slender rods

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

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.

Keywords: super-long elastic slender rod symmetry perturbation adiabatic invariant

Received: 10 May 2011
Revised: 08 July 2011
Accepted manuscript online:

PACS:	02.20.Sv	(Lie algebras of Lie groups)
	11.30.-j	(Symmetry and conservation laws)
	46.25.-y	(Static elasticity)

Fund: 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).

Cite this article:

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

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