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The analytical analysis of the asymmetric elastic rod
WANG Wei * #,CHEN Tao
Department of Mechanics, School of Engineering, Tianjin University, Tianjin 300072, China
*Correspondence author
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Funding: This work is supported by the National Natural Science Foundation of China （No.Grand No. 11102127, 11072168) and Specialized Research Fund for the Doctoral Program of Higher Education of China）
Opened online:10 January 2014
Accepted by: none
Citation: WANG Wei,CHEN Tao.The analytical analysis of the asymmetric elastic rod[OL]. [10 January 2014] http://en.paper.edu.cn/en_releasepaper/content/4580022
 
 
The analytical equation of the asymmetric elastic rod governed by the ordinary differential equation is obtained. We reconstruct the Kirchhoff equations with the complex coordinates and introduce a novel transformation parameter. They change the initial non-circular character of the cross section into a nearly cross section case, and approximately result the Duffing type ordinary differential equations. Perturbation methods basing on these equations permit our expectation to explore the intrinsic properties of DNA double helix within the framework of analytical research not merely the numerical simulations, such as structural inhomogeneity and periodically varying of bending rigidities.
Keywords:Elastic rod; Kirchhoff equation; DNA double helix
 
 
 

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