A quasi-dynamic model and a symplectic algorithm of super slender Kirchhoff rod

作     者：Dandan Yang Jianfei Huang Weijia Zhao 

作者机构：School of Mathematical Science Huaiyin Normal University Jiangsu Huaian 223300P.R.China College of Mathematical Sciences Yangzhou UniversityYangzhou 225002P.R.China College of MathematicsQingdao University Qingdao 266071P.R.China 

出 版 物：《International Journal of Modeling, Simulation, and Scientific Computing》 (建模、仿真和科学计算国际期刊（英文）)

年 卷 期：2017年第8卷第3期

页      面：285-295页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Jiangsu Overseas Research or Training Program for University Prominent Young Faculty and Presidents National Natural Science Foundation of China(Grant Nos.11426141,11571136 and 11072120) 

主　　题：Kirchhoff rod euler parameters quasi-hamilton system symplectic algorithm surface equation 

摘      要：Recently the Kirchhoff rod and the methods of dynamical analogue have been widely used in modeling *** features of a DNA such as its super slender and super large deformation raise new challenges in modeling and numerical simulations of a Kirchhoff *** this paper,Euler parameters are introduced to set up the quasi-Hamilton system of an elastic rod,then a symplectic algorithm is applied in its numerical ***,a simplified surface model of the rod is given based on the hypothesis of rigid cross-section.