| 用振动测量数据最优修正振型矩阵与质量矩阵 |
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| 引用本文： | 袁永新,戴华.用振动测量数据最优修正振型矩阵与质量矩阵[J].工程数学学报,2007,24(4):631-638. |
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| 作者姓名： | 袁永新 戴华 |
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| 作者单位： | 1. 江苏科技大学数理系,镇江,212003;南京航空航天大学理学院,南京,210016
2. 南京航空航天大学理学院,南京,210016 |
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| 摘 要： | 在实际工程中,由有限元模型得到的计算值与通过试验获得的测量值之间往往存在偏差,为了能够精确预测结构的动力响应,依据测量信息修正现有的动力模型是非常必要的。本文运用代数特征值反问题的理论和方法,研究了满足正交性条件的振型矩阵及质量矩阵的修正问题,得到了加权Frobenius范数意义下的最优修正矩阵。
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| 关 键 词： | 有限元模型 模型修正 模态测量值 反问题 |
| 文章编号： | 1005-3085（2007）04-0631-08 |
| 修稿时间： | 2005-06-14 |
Optimal Correction for Modal Matrix and Mass Matrix Using Test Data |
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| YUAN Yong-xin,DAI Hua.Optimal Correction for Modal Matrix and Mass Matrix Using Test Data[J].Chinese Journal of Engineering Mathematics,2007,24(4):631-638. |
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| Authors: | YUAN Yong-xin DAI Hua |
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| Affiliation: | 1 Dept. of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003; 2. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016 |
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| Abstract: | There is a gap between predictions resulting from the finite-element model (FEM) and experimental results of a testing model or actual structure. Updating the existing dynamic model on the basis of modal test data is very important for predicting actual behaviors of the structure precisely via the structural dynamic model. By means of the theory and method of algebraic inverse eigenvalue problems, the optimal correcting modal matrix and mass matrix complied with the required orthogonality conditions are derived in the weighted Frobenius norm sense. |
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| Keywords: | finite-element model model updating modal test data inverse problem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
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