| 有限元模型修正中的最佳矩阵逼近 |
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| 引用本文： | 袁泉,戴华.有限元模型修正中的最佳矩阵逼近[J].高等学校计算数学学报,2009,31(2). |
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| 作者姓名： | 袁泉 戴华 |
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| 作者单位： | 南京航空航天大学数学系,南京,210016 |
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| 摘 要： | 1引言 在飞行器、船舶、桥梁等结构设计中,要定量、准确地进行结构动力学分析,解决飞行器、船舶、桥梁等工程结构中普遍存在的振动问题,首先必须建立结构的动力学模型.
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| 关 键 词： | 有限元方法 修正矩阵 测量数据 特征向量 刚度矩阵 有限元模型修正 对称半正定矩阵 特征方程 矩阵逼近 广义特征值问题 |
OPTIMAL MATRIX APPROXIMATION IN FINITE ELEMENT MODEL UPDATING |
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| Yuan Quan,Dai Hua.OPTIMAL MATRIX APPROXIMATION IN FINITE ELEMENT MODEL UPDATING[J].Numerical Mathematics A Journal of Chinese Universities,2009,31(2). |
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| Authors: | Yuan Quan Dai Hua |
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| Institution: | Yuan Quan Dai Hua (Department of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016) |
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| Abstract: | The problem of stiffness matrix updating in the finite element model using inaccurate test data is considered in this paper.Desired stiffness matrix properties such as symmetry,sparsity,positive semidefiniteness,and satisfaction of characteristic equation are imposed as side constraints for an optimal matrix approximation formulated to produce an updated stiffness matrix which better matches measured data.The existence and uniqueness of solution to the problem is discussed.Based on the alternating projectio... |
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| Keywords: | symmetric positive semidefinite matrix optimal matrix approximation alternating projection algorithm finite element model updating |
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