| 带静电斥力弹性杆的Cosserat方程及其数值模拟 |
| |
| 引用本文： | 杨丽娜,王宫熙,赵维加. 带静电斥力弹性杆的Cosserat方程及其数值模拟[J]. 青岛大学学报(自然科学版), 2013, 0(4): 4-9 |
| |
| 作者姓名： | 杨丽娜 王宫熙 赵维加 |
| |
| 作者单位： | 青岛大学数学科学学院,青岛266071 |
| |
| 基金项目： | 国家自然科学基金（批准号 110721120）资助. |
| |
| 摘 要： | 根据牛顿动力学定律,导出弹性杆的Cosserat方程,引入欧拉参数将方程组化为方便数值计算的分量表达形式.导出弹性杆的静电斥力的数值表达式,进一步导出带静电斥力的弹性杆的Cosserat方程.最后利用数值方法进行数值模拟.
|
| 关 键 词： | 弹性杆 接触 静电斥力 Cosserat方程 欧拉参数 |
The Cosserat Rod with Electrostatic Repulsive Force and Its Numerical Simulation |
| |
| YANG Li-na,WANG Gong-xi,ZHAO Wei-jia. The Cosserat Rod with Electrostatic Repulsive Force and Its Numerical Simulation[J]. Journal of Qingdao University(Natural Science Edition), 2013, 0(4): 4-9 |
| |
| Authors: | YANG Li-na WANG Gong-xi ZHAO Wei-jia |
| |
| Affiliation: | (College of Mathematics, Qingdao University, Qingdao 266071, China) |
| |
| Abstract: | The Cosserat equations of elastic rod are given according to Newton＇s law of dynamics. For the convenience of numerical calculation, the equation is expressed by Euler parameters. The electrostatic re pulsion of elastic rod is given by numeric expression, further the Cosserat equations with electrostatic re pulsion of elastic rod are derived. The numerical simulation is carried out by using numerical simulation. |
| |
| Keywords: | Elastic rod Contact Electrostatic repulsion Cosserat equation Euler parameter |
| 本文献已被 维普 等数据库收录！ |
