针对局部子结构为修正对象的情况,提出了基于时间序列的约束子结构修正法,从而只利用整体结构中局部子结构部分的自由响应或者随机响应就可以精确修正子结构模型。该方法依据线性结构的线性叠加原理,将一组长的子结构响应的时间序列延时划分为若干组子时间序列,然后利用这些子时间序列的线性组合,限制子结构边界的响应,从而隔离整体结构对子结构的影响,构造出约束子结构的响应,进而通过约束子结构的模态识别和模型修正实现对局部子结构的修正。以十跨桁架模型为例,分别利用子结构位置的随机响应和自由响应修正子结构,验证了所述方法的有效性,并分析了噪声对方法的影响。
A modal updating method based on local time series is proposed, such that the local substructure can be updated effectively by the free response or the stochastic response at the corresponding substructural location of the whole structure. The Isolated Substructure refers to a new simple and independent structure, equivalent to the concerned substructure, which is isolated from the global structure by numerically constraining the substructure boundary response according to the superposition theorem of linear elastic structures. It is significant especially when only part of the structure needs to be modified. In this method, firstly a long discrete response of the substructure is divided into several sub-time series with delayed time steps in turn ; then the responses of the substructural boundary are restricted by the linear combination of the sub-time series, thereby the vibration of the Isolated Substructure is constructed by isolating the influence from the whole structure; Lastly the local substructure is updated through the model identification and model updating of the Isolated Substructure, which con- tains fewer elements and can be updated easier and faster. The computational accuracy is improved by eliminating the influences from the other parts of the structure. Numerical example of a plane truss is given to demonstrate the effectiveness of this method by utilizing the accelerations of free vibration and stochastic displacement responses. Moreover, the result is also acceptable when 5 % noise is taken into consideration.