超细长弹性杆动力学仿真的曲面处理算法

A post-processing algorithm for the treatment of numerical results of super-long elastic slender rods

超细长弹性杆动力学研究在DNA的平衡、稳定性等问题的研究中有重要的应用。为了便于超细长弹性杆动力学研究中数值结果图形后处理以及研究表面接触等问题的需要,需要建立弹性杆的表面模型和相应算法。本文利用Kirchhoff弹性杆模型的动力学比拟技巧,建立了描述超细长弹性杆曲面的常微分/积分方程组,利用Adames方法和递推方法设计了方程的数值解法,并给出了超长弹性杆的数值仿真结果的图形处理的计算实例。

The dynamics of a super-long elastic slender rod plays an important role in analyzing many properties of a DNA such as its stability and equilibrium. In order to provide a convenient environment for the post processing of the numerical results in studying the dynamical properties of a DNA, a differential/integral equation system is given in this paper to describe the surface of a super-long elastic slender rod. Numerical algorithms are provided to solve the equations and an 1 example of application is given.