Theory and method for updating least-squares finite element model of symmetric generalized centro-symmetric matrices

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• 作者：Dongxiu Xie ; Zhongzhi Zhang ; Zhongyun Liu
• 关键词：Symmetric generalized centro-symmetric matrix ; Least square problem ; The correction of the model ; The perturbation analysis
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2008
• 出版时间：1 July 2008
• 年：2008
• 卷：216
• 期：2
• 页码：484-497
• 全文大小：200 K

文摘

Let X,F be a displacement matrix and load matrix, respectively. C (obtained by calculations or measurements) is an estimate matrix of the analytical model. A method is presented for correction of the model C, based on the theory of inverse problem of matrices. The corrected model is symmetric generalized centro-symmetric with specified displacements and loads, satisfying the mechanics characters of finite-element model. The application of the method is illustrated. It is more important that a perturbation analysis is given, which is not given in the earlier papers. Numerical results show that the method is feasible and effective.