利用静力试验数据修正具有广义中心对称有限元模型

Correcting a Generalized Centro-symmetric Finite Element Model by Using Test Data

设X,B分别是测得的位移矩阵和载荷矩阵,C是有限元方法得到的理论模型的估计,找广义中心对称的矩阵^A使得A^X=B,且是Frobenius范数意义下C的最佳逼近.并给出了解^A的扰动分析,数值结果表明该方法是行之有效的.

Let X,B be a displacement matrix and load matrix respectively by test data. Assume C （obtained by using the finite-element method） to be an estimate matrix of the analytical model. Find the generalized centro-symmetric matrix A to minimize the Frobenius norm of C-A and AX = B. The perturbation of the solution A is analyzed. Numerical results show that the method is feasible and effective.