| DNA弹性杆力学分析的保结构算法和图形后处理 |
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| 引用本文： | 张光辉,赵维加,姜咏梅.DNA弹性杆力学分析的保结构算法和图形后处理[J].青岛大学学报(自然科学版),2007,20(2):10-14. |
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| 作者姓名： | 张光辉 赵维加 姜咏梅 |
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| 作者单位： | 青岛大学,数学科学学院,青岛,266071 |
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| 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。
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| 关 键 词： | DNA弹性杆 Kirchhoff比拟 辛算法 图形后处理算法 |
| 文章编号： | 1006-1037（2007）02-0010-05 |
| 收稿时间： | 2007-01-08 |
| 修稿时间： | 2007-01-08 |
Symplectic Method and Post-Processing Algorithm for Analyzing Mechanical Structure of DNA |
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| ZHANG Guang-hui,ZHAO Wei-jia,JIANG Yong-mei.Symplectic Method and Post-Processing Algorithm for Analyzing Mechanical Structure of DNA[J].Journal of Qingdao University(Natural Science Edition),2007,20(2):10-14. |
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| Authors: | ZHANG Guang-hui ZHAO Wei-jia JIANG Yong-mei |
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| Institution: | College of Mathematical Science, Qingdao University, Qingdao 266071, China |
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| Abstract: | 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 super-long property,its structural analysis requires a long time computation,a symplectic 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. |
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| Keywords: | DNA elastic rod Kirchhoffs analogue technique syrnplectic method figure post-process |
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