The Schrodinger equation for a Kirchhoff elastic rod with noncircular cross section

被引：0
|
作者：
Xue, Y [1 ]
Liu, YZ
Chen, LQ
机构：
[1] Shanghai Univ, Inst Appl Math & Mech, Shanghai 200072, Peoples R China
[2] Shanghai Inst Technol, Dept Mech Engn, Shanghai 200233, Peoples R China
[3] Shanghai Jiao Tong Univ, Dept Mech Engn, Shanghai 200030, Peoples R China
来源：
CHINESE PHYSICS | 2004年 / 13卷 / 06期
关键词：
Kirchhoff elastic rod; Schrodinger equation; DNA model;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The extended Schrodinger equation for the Kirchhoff elastic rod with noncircular cross section is derived using the concept of complex rigidity. As a mathematical model of supercoiled DNA, the Schrodinger equation for the rod with circular cross section is a special case of the equation derived in this paper. In the twistless case of the rod when the principal axes of the cross section are coincident with the Frenet coordinates of the centreline, the Schrodinger equation is transformed to the Duffing equation, The equilibrium and stability of the twistless rod are discussed, and a bifurcation phenomenon is presented.
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页码：794 / 797
页数：4
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