| 弹性杆动力学方程的高精度数值计算及仿真 |
| |
| 引用本文： | 杨斌,赵维加,黄健飞,贾美娟.弹性杆动力学方程的高精度数值计算及仿真[J].科学技术与工程,2009,9(2). |
| |
| 作者姓名： | 杨斌 赵维加 黄健飞 贾美娟 |
| |
| 作者单位： | 青岛大学数学科学学院,青岛,266071 |
| |
| 摘 要： | 对于描述运动弹性杆的非线性偏微分/代数方程组,利用三角谱方法离散弧长变量s,将方程组离散为常微分/代数方程组,然后利用谱延迟修正方法进行数值求解,使数值离散方法达到谱精度.还分析了弹性杆运动的数值仿真问题并给出了数值结果.
|
| 关 键 词： | 弹性杆 动力学方程 谱方法 数值计算 |
High-precision Numerical Method and Simulation for Dynamic Equations of Elastic Rod |
| |
| YANG Bin,ZHAO Wei-jia,HUANG Jian-fei,JIA Mei-juan.High-precision Numerical Method and Simulation for Dynamic Equations of Elastic Rod[J].Science Technology and Engineering,2009,9(2). |
| |
| Authors: | YANG Bin ZHAO Wei-jia HUANG Jian-fei JIA Mei-juan |
| |
| Institution: | Qingdao University;Qingdao 266071;P.R.China |
| |
| Abstract: | The mathematical model of an elastic rod with rigid cross-section and its numerical simulation are studied.By using triangle spectral method to discretize variable of arc length s,and then solving the simi-discretized equations by spectral defered correction method,the numerical solution of spectral precision for solving the nonlinear model is obtained.Thanks to the spetial structure of the model,the numerical approach is simple and convenient in simulation.Numerical examples are also given. |
| |
| Keywords: | elastic rod dynamic equations spectral method numerical method |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
