摘要
Recently the Kirchhoff rod and the methods of dynamical analogue have been widely used in modeling DNA.The features of a DNA such as its super slender and super large deformation raise new challenges in modeling and numerical simulations of a Kirchhoff rod.In 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 simulations.Finally,a simplified surface model of the rod is given based on the hypothesis of rigid cross-section.
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).
