用振动试验最优修正振型矩阵与柔度矩阵

由有限元模型得到的计算值与通过试验获得的测量值之间往往存在偏差。为了能够精确预测结构的动力响应，依据测量信息修正存在的动力模型是非常必要的。本文运用代数特征值反问题的理论和方法，研究了满足正交性条件的振型矩阵及柔度矩阵的修正问题，得到了加权Frobenius范数意义下的最优修正矩阵。

Optimal Correction of Modal Matrix and Flexibility Matrix Based on Vibration Tests

Considerable discrepancies exist in comparison with the prediction from finite-element model and experimental results from the laboratory model or actual structure. Updating the existing dynamic model based on modal test data is very important to predict the actual behaviors of the structure accurately via the structural dynamic model. By means of the theory and method of the algebraic inverse eigenvalue problems,the optimal corrected modal matrix and flexibility matrix complied with the required orthogonality conditions are found under the weighted Frobenius norm.