| 具有附加质量矩阵的广义特征值问题的近似解法 |
| |
| 引用本文： | 楼梦麟.具有附加质量矩阵的广义特征值问题的近似解法[J].大连理工大学学报,1992,32(2):231-236. |
| |
| 作者姓名： | 楼梦麟 |
| |
| 作者单位： | 大连理工大学土木工程系 |
| |
| 摘 要： | 在实际工程中常常遇到具有附加质量矩阵的广义特征值问题，本文介绍 一个求解这一问题的简捷计算方法。应用这一算法，可以利用原广义特征值 问题的解，通过迭代求解一个规模很小的线性代数方程组获得新特征值问题 的近似解，从而能有效地减少计算时间。这一方法对于具有附加质量矩阵形 式的大型结构的特征值问题十分有效。算例结果表明：一般只需迭代１～２次 就可以获得精度很高的计算成果。
|
| 关 键 词： | 拱坝 附加质量矩阵 特征值问题 |
Simplified method for generalized eigenvalue problem with additional mass matrix |
| |
| Lou Menglin.Simplified method for generalized eigenvalue problem with additional mass matrix[J].Journal of Dalian University of Technology,1992,32(2):231-236. |
| |
| Authors: | Lou Menglin |
| |
| Abstract: | A simplified method is developed for numerical analysis of the generalized eigenvalue equation with an additional mass matrix. If a new eigenvalue problem is established by adding an additional mass matrix to a generalized eigenvalue equation which has been solved, it can be quickly calculated using the solutions obtained from the solved equation. The numerical results show that the approximate solutions have a high precision. |
| |
| Keywords: | eigenvalue problems arch dam seismic response analysis |
| 本文献已被 CNKI 维普 等数据库收录！ |
