| DNA弹性杆模型数值仿真和图形处理的四元数方法 |
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| 引用本文： | 张光辉,赵维加.DNA弹性杆模型数值仿真和图形处理的四元数方法[J].系统仿真学报,2007,19(17):3927-3929. |
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| 作者姓名： | 张光辉 赵维加 |
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| 作者单位： | 青岛大学数学系,山东,青岛,266071 |
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| 摘 要： | 超细长弹性杆动力学模型在DNA分子结构模型的平衡、稳定性等问题的研究中有重要的应用。为了便于其数值仿真、图形后处理以及研究表面接触等问题的处理，需要建立弹性杆的表面模型。利用Kirchhoff弹性杆模型的动力学比拟技巧，建立了由四元数的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，并蛤出了超细长弹性杆的数值仿真和图形处理的计算实例。
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| 关 键 词： | 超细长弹性杆 四元数 Kirchhoff比拟方法 图形处理 数值算法 |
| 文章编号： | 1004-731X（2007）17-3927-03 |
| 收稿时间： | 2006-10-20 |
| 修稿时间： | 2007-05-15 |
Quaternion-numerical Simulation and Post-processing of Super-long Elastic Slender Rods |
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| ZHANG Guang-hui,ZHAO Wei-jia.Quaternion-numerical Simulation and Post-processing of Super-long Elastic Slender Rods[J].Journal of System Simulation,2007,19(17):3927-3929. |
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| Authors: | ZHANG Guang-hui ZHAO Wei-jia |
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| Institution: | Department of Mathematics, Qingdao University, Qingdao 266071, China |
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| Abstract: | The dynamical study 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 described in Quaternion style was given to describe the surface of a super-long elastic slender rod. Numerical algorithms were provided to solve the equations and a practical example of application of the graph post processing model was given. |
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| Keywords: | super-long elastic slender rod Quaternion Kirchhoff analogy numerical simulation graph post-processing |
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