| 用试验数据修正刚度矩阵 |
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| 引用本文： | 戴华.用试验数据修正刚度矩阵[J].航空学报,1994,15(9):1091-1094. |
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| 作者姓名： | 戴华 |
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| 作者单位： | 南京航空航天大学数理力学系,南京,210016 |
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| 摘 要： | 讨论用试验数据修正刚度矩阵的问题。依据特征方程、刚度矩阵的对称性和半正定性,利用代数特征值反问题的理论和方法,研究了这个问题解的存在性和唯一性,提出了修正刚度矩阵的一个新方法。用这个方法修正的刚度矩阵不仅满足特征方程,而且是唯一的对称半正定矩阵。
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| 关 键 词： | 结构模型 动态试验 反问题 |
| 收稿时间： | 1993-06-23 |
| 修稿时间： | 1993-12-28 |
STIFFNESS MATRIX CORRECTIONUSING TEST DATA |
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| Dai Hua.STIFFNESS MATRIX CORRECTIONUSING TEST DATA[J].Acta Aeronautica et Astronautica Sinica,1994,15(9):1091-1094. |
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| Authors: | Dai Hua |
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| Institution: | Department of Mathematics,Physics and Mechanics,Nanjing University of Aeronautics and Astronautics,Nanjing,210016 |
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| Abstract: | he problem of stiffness matrix correction using test data is discussed in this pa-per Based on the characteristic equation,the symmetry and positive semidefiniteness of stiff-ness matrix,the existence and uniqueness of solution to the problem is studied by means of tbe theory and method of the algebraic inverse eigenvalue problems. Anew method of stiffness ma-trix correction is preesented.The stiffness matrix corrected by the method not only satisfies the characteristic equation,but also is the unique symmetric positive semidefinite matrix. |
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| Keywords: | structural model dynamic experiment inverse problem |
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