摘要
基于Kirchhoff动力学比拟技巧,以弹性杆中心线弧长为拟时间变量,建立了DNA弹性杆结构模型。DNA弹性杆的超细长特性要求长时间数值模拟,探讨了利用辛算法对DNA弹性杆模型长时间计算的问题,给出了相应的算法和数值仿真结果。利用Kirchhoff弹性杆模型的比拟技巧,建立了描述DNA弹性杆曲面的微分/积分方程组,给出了曲面方程的数值解法和DNA弹性杆图形后处理的计算实例和分析。
Using the length of the curve line as the quasi-time variable, based on Kirchhoff's analogue technique, the mechanical structural model of DNA elastic rod is established. Because of DNA's superlong property, its structural analysis requires a long time computation, a syrnplectic method is introduced to numerically simulate the structural features of DNA, which shows a good structural preserving property. A differential/integral equation system is also given to describe the surface of the rods, which is used in the post process of the numerical results.
出处
《青岛大学学报(自然科学版)》
CAS
2007年第2期10-14,共5页
Journal of Qingdao University(Natural Science Edition)
基金
国家自然科学基金资助项目(10472067)