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

✍ Scribed by Dongxiu Xie; Zhongzhi Zhang; Zhongyun Liu

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 201 KB
• Volume: 216
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2007.05.030

✦ Synopsis

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.