Perturbation of symmetries for super-long elastic slender rods

作     者：丁宁 方建会 

作者机构：Institute of Theoretical PhysicsDepartment of Physics and Electronics ScienceBinzhou University College of Physics Science and TechnologyChina University of Petroleum 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2011年第20卷第12期

页      面：8-16页

核心收录：

学科分类：08[工学] 080101[工学-一般力学与力学基础] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the Natural Science Foundation of Shandong Province of China (Grant No. ZR2009AQ011) Science Foundation of Binzhou University,China (Grant No. BZXYG0903) 

主　　题：super-long elastic slender rod symmetry perturbation adiabatic invariant 

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.