中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70203-070203.doi: 10.1088/1674-1056/21/7/070203
王鹏a b, 薛纭c, 刘宇陆a
Wang Peng(王鹏)a) b), Xue Yun(薛纭)c), and Liu Yu-Lu(刘宇陆)a)†
摘要: We investigate the application of the Mei symmetry analysis in finding conserved quantities for the thin elastic rod statics. By using the Mei symmetry analysis, we have obtained the Jacobi integral and the cyclic integrals for a thin elastic rod with the intrinsic twisting for both the cases of circular and non-circular cross sections. Our results can be easily reduced to the results without the intrinsic twisting that have been reported. Through calculation, we find that the Noether symmetry can be more directly and easily used than the Mei symmetry in finding the first integrals for the thin elastic rod. These first integrals will be helpful in the studying of exact solutions and the stability as well as the numerical simulation of the elastic rod model for DNA.
中图分类号: (Lie algebras of Lie groups)