| 振动杆有限差分模型的一类特征值反问题 |
| |
| 引用本文： | 毛晓彬,戴华.振动杆有限差分模型的一类特征值反问题[J].高等学校计算数学学报,2008,30(2). |
| |
| 作者姓名： | 毛晓彬 戴华 |
| |
| 作者单位： | 南京航空航天大学理学院,南京,210016 |
| |
| 基金项目： | 国家自然科学基金资助项目 |
| |
| 摘 要： | 1引言杆是重要的工程构件之一,具有分布质量的杆的纵向振动由下面的偏微分方程描述:
|
| 关 键 词： | 特征值反问题 有限差分模型 振动杆 偏微分方程 工程构件 纵向振动 分布质量 |
AN INVERSE EIGENVALUE PROBLEM FOR THE FINITE DIFFERENCE MODEL OF A VIBRATING ROD |
| |
| Mao Xiaobin,Dai Hua.AN INVERSE EIGENVALUE PROBLEM FOR THE FINITE DIFFERENCE MODEL OF A VIBRATING ROD[J].Numerical Mathematics A Journal of Chinese Universities,2008,30(2). |
| |
| Authors: | Mao Xiaobin Dai Hua |
| |
| Abstract: | In this paper,an inverse eigenvalue problem for the finite difference model of a vibrating rod is proposed,i.e.,constructing the discrete model of a vibrating rod from partial physical parameters and two defective eigenpairs of the rod.The solvability of the problem is discussed for the discrete model.The necessary and sufficient conditions for the construction of a physically realizable rod with positive parameters are derived.A numerical method for solving the problem is presented.A numerical example is given. |
| |
| Keywords: | rod finite difference model eigenvalue inverse problem defective eigenpair |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
