DNA纳米结构的粗粒化模型

Title    Coarse Granular Model of Nano-structure of DNA
Abstract
By further simplifying the simplified mechanics model of the secondary structure of DNA, this paper has studied the single elastic rod mechanical properties and then simulated the movement of the constrained elastic rod. This paper has got related formulas about the twist and position changes of the elastic rods’ centerline by studying related theories of elastic rod such as the Kirchhoff theory of elastic rods. After discreting related formulas, a program was written by C++ for numerical calculating these formulas. Then the acquired numerical values of digital simulation of elastic rods’ mechanical movement were visualized by using Mathematica. In the end, this paper has got related mechanical motion simulation of special elastic rods’ bending and buckling, unclosed circular elastic rods and spiral linear elastic rods. By comparing these results to the reality, the elastic rods’ mechanical motion can be further studied. Also, the research of the mechanical characteristics of DNA would have a good beginning. 源自六[维^论'文]网.加7位QQ3249'114 www.lwfree.cn
Keywords  mechanical model of DNA  discrete elastic rods  centerline  Kirchhoff rod  elastic energy  quasistatic  equations of motion  digital tests simulation
目   次
1  引言    1
1．1  背景    1
1．2  意义    1
1．3  研究方法和思路    1
2  建立模型    2
3  弹性杆理论基础    2
3．1  相关标架    3
3．2  Kirchhoff杆    4
3．2  准静态材料标架假设    6
3．3  运动方程    6
4  弹性杆的离散    7
4．1  曲线的离散    7
4．2  弯曲能的离散    8
4．3  标架平移的离散    9
4．4  扭转能的离散    10
4．5  准静态方程的离散    10
4．6  运动方程的离散    11
5  程序编写    13
5．1  初始量的输入    13
5．2  准静态假设的处理    15
5．3  程序的循环模拟    16
5．4  程序结构    16
5．5  程序验证    17
6  结果模拟    17
6．1  特殊弹性杆    18
6．2  不闭合圆环弹性杆    20
6．3  螺旋线形弹性杆    21
7  不足与展望    23
7．1  弹性杆施加约束的局限性    23
7．2  结果验证的不足    23 DNA纳米结构的粗粒化模型:http://www.lwfree.cn/wuli/20171011/14631.html
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