To evaluate the dynamic properties of a coupled structure based on the dynamic properties of its substructures, this paper investigates the dynamic substructuring issue from the perspective of response prediction. The main idea is that the connecting forces at the interface of substructures can be expressed by the unknown coupled structural responses, and the responses can be solved rather easily. Not only rigidly coupled structures but also resiliently coupled structures are investigated. In order to further comprehend and visualize the nature of coupling problems, the Neumann series expansion for a matrix describing the relation between the coupled and uncoupled substructures is also introduced in this paper. Compared with existing response prediction methods, the proposed method does not have to measure any forces, which makes it easier to apply than the others. Clearly, the frequency response function matrix of coupled structures can be derived directly based on the response prediction method. Compared with existing frequency response function synthesis methods, it is more straightforward and comprehensible. Through demonstration of two examples, it is concluded that the proposed method can deal with structural coupling problems very well.

为了基于耦合结构子结构的动态特性评估其动态特性，本文从响应预测的角度研究了动态子结构问题。主要思想是，可以通过未知的耦合结构响应来表示子结构界面处的连接力，并且可以很容易地解决这些响应。不仅研究刚性联接结构，而且研究弹性联接结构。为了进一步理解和可视化耦合问题的性质，本文还介绍了用于描述耦合子结构和非耦合子结构之间关系的矩阵的Neumann级数展开。与现有的响应预测方法相比，该方法无需测量任何力，这使得它比其他方法更容易应用。显然，可以基于响应预测方法直接导出耦合结构的频率响应函数矩阵。与现有的频率响应函数综合方法相比，它更加直观易懂。通过两个例子的论证，可以得出结论：所提方法可以很好地解决结构耦合问题。