The possibility of reconstructing the response of a system, starting from the response of a reference one, has always been a point of great interest in structural dynamics. This is proved by the increasing attention about the similitude and scaling methods, although the associated predictions are still not fully reliable. Therefore, the aim of this paper is to present a method aimed at defining a transformation matrix which links the outputs between two sets of points belonging to different linear systems. This matrix used for the transformation can be invoked for both deterministic and stochastic loads.

As preliminary and validating test case, the reconstruction of the displacement responses of two plates subjected to deterministic load is presented. The results show that an exact estimation of the frequency response is achieved at the degrees of freedom used for defining the transformation, as expected.

从参考对象的响应开始重建系统的响应的可能性一直是结构动力学研究的热点。尽管相关的预测仍不完全可靠，但越来越多地关注相似度和缩放方法证明了这一点。因此，本文的目的是提出一种旨在定义变换矩阵的方法，该变换矩阵将属于不同线性系统的两组点之间的输出链接起来。用于确定性和随机负载的转换矩阵都可以调用。

作为初步的验证试验案例，提出了确定性载荷作用下两块板位移响应的重构。结果表明，正如预期的那样，在用于定义变换的自由度上可以实现频率响应的精确估计。