Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

The analytical reduction of the Kirchhoff thin elastic rod model with asymmetric cross section

Wang Wei Zhang Qi-Chang Jin Gang

The analytical reduction of the Kirchhoff thin elastic rod model with asymmetric cross section

Wang Wei, Zhang Qi-Chang, Jin Gang
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

Metrics
  • Abstract views:  2135
  • PDF Downloads:  625
  • Cited By: 0
Publishing process
  • Received Date:  19 October 2011
  • Accepted Date:  05 December 2011
  • Published Online:  05 March 2012

The analytical reduction of the Kirchhoff thin elastic rod model with asymmetric cross section

    Corresponding author: Wang Wei, wangweifrancis@yahoo.com.cn
  • 1. State Key Laboratory of Engines, Department of Mechanics, School of Engineering, Tianjin University, Tianjin 300072, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos.10872141,11072168) and Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No.20100032120006).

Abstract: The Kirchhoff thin elastic rod models and related systems are always the important basis to research the topology and stability of the flexible structures in not only the macroscopic but also microscopic scale. Firstly the initial Kirchhoff equations are rebuilt in a complex style to suit the character of obvious asymmetry embodied on the cross section by considering the mathematical background of DNA double helix. Then we introduce a complex form variable solution of the torque, and extend the knowledge of effective bending coefficients as well as its facility in the high dimensional system by using the complicated system. As the result, a simplified second order ordinary differential equation with single variable is obtained. Furthermore the periodically varying bending coefficients of the DNA molecular are considered as the appended components to the effective bending coefficients. The whole reduction process makes the numerical simulation become not solely the exclusively eligible approach, and produces adaptable channel to quantitative analysis.

Reference (51)

Catalog

    /

    返回文章
    返回