一种正交向量基结构动力模型修正

针对矩阵修正方法不能保存原模型的连接信息以及计算效率低的缺点,基于多自由度振动和矩阵奇异值分解(SVD)理论，提出了一个具有SVD的模型修正方法．该方法引入矩阵重组技术以及采用SVD理论使未知参数的维数从n×2n降低到1×2n维，因而提高了矩阵修正法的计算效率．在此基础上对修正结果进行矩阵物理化处理，恢复了原模型的连接信息．最后，通过数值算例证明了该方法的有效性与可行性．

Methods updating for the dynamic model with orthogonal vector basis

Considering the shortcoming of the matrix updating methods which can not preserve the physical connectivity and has a low computational efficiently, a new updating method with an SVD(singular value decomposition) model is presented based on the theories of multi degrees of freedom vibration and SVD. Compared with matrix updating, this method inducts the matrix recomposing technology to reduce the dimension of the parameter matrix from n×2n to 1×2n, adopts the SVD theory to improve the computational efficiently and processes the updated results to preserve the physical connectivity. Finally, numerical results show the validity and feasibility of the method.