| A SINGULAR VALUE DECOMPOSITION BASED TRUNCATION ALGORITHM IN SOLVING THE STRUCTURAL DAMAGE EQUATIONS |
| |
| 作者姓名： | RenWei-Xin |
| |
| 作者单位： | DepartmentofCivilEngineering,CentralSouthUniversity,Changsha410075,China |
| |
| 摘 要： | The structural damage identification through modal data often leads to solving a set of linear equations. Special numerical treatment is sometimes required for an accurate and stable solution owing to the ill conditioning of the equations. Based on the singular value decomposition (SVD) of the coefficient matrix, an error based truncation algorithm is proposed in this paper. By rejection of selected small singular values, the influence of noise can be reduced. A simply-supported beam is used as a simulation example to compare the results to other methods.Illustrative numerical examples demonstrate the good efficiency and stability of the algorithm in the nondestructive identification of structural damage through modal data.
|
| 关 键 词： | 线性函数集 奇异值分解 最小方差法 有限元法 损伤鉴定 结构力学 |
A SINGULAR VALUE DECOMPOSITION BASED TRUNCATION ALGORITHM IN SOLVING THE STRUCTURAL DAMAGE EQUATIONS |
| |
| RenWei-Xin.A SINGULAR VALUE DECOMPOSITION BASED TRUNCATION ALGORITHM IN SOLVING THE STRUCTURAL DAMAGE EQUATIONS[J].Acta Mechanica Solida Sinica,2005,18(2):181-188. |
| |
| Authors: | Ren Wei-Xin |
| |
| Abstract: | The structural damage identification through modal data often leads to solving a set of linear equations. Special numerical treatment is sometimes required for an accurate and stable solution owing to the ill conditioning of the equations. Based on the singular value decomposition (SVD) of the coefficient matrix, an error based truncation algorithm is proposed in this paper. By rejection of selected small singular values, the influence of noise can be reduced. A simply-supported beam is used as a simulation example to compare the results to other methods. Illustrative numerical examples demonstrate the good efficiency and stability of the algorithm in the nondestructive identification of structural damage through modal data. |
| |
| Keywords: | linear equation set single value decomposition least-square method finite element method modal analysis damage identification structural dynamics |
| 本文献已被 CNKI 维普 等数据库收录！ |
