Substructuring is a term used to describe the estimation of the dynamics of a coupled system assembly when only the dynamics of each uncoupled component is available. Existing approaches allow for the coupling of physical-to-physical models, physical-to-modal models, modal-to-modal models referred to as Component Mode Synthesis (CMS), and impedance-to-impedance models referred to as Frequency Based Substructuring (FBS). Often times, the component information may not be just modal data for both components or just FRF data for both components so that modal substructuring or FRF substructuring can be performed. In these cases, the component data needs to be converted from either modal data or FRF data to match the data of the other component. A method for directly coupling impedance- and modal-based components has not yet been addressed. A proposed Impedance to Modal Substructuring (IMS) approach addresses this situation by writing the equations in a form that allows the user to directly utilize modal data for one component and FRF data for the other component, offering more flexibility in coupling different component data sets. While intended to be used with experimental data, this approach may also implement analytical components. In this work, an approach was developed to allow for the direct coupling of impedance and modal models without the need for the user to convert component data type. The IMS approach derived in this work was validated using analytical and experimental data with various models.

子结构是一个术语，用于描述当只有每个非耦合组件的动态可用时耦合系统组件的动态估计。现有方法允许耦合物理到物理模型、物理到模态模型、模态到模态模型（称为组件模式综合（CMS））以及阻抗到阻抗模型（称为基于频率的子结构） （胎牛血清）。很多时候，分量信息可能不仅仅是两个分量的模态数据或者只是两个分量的FRF数据，以便可以执行模态子结构或FRF子结构。在这些情况下，需要从模态数据或 FRF 数据转换组件数据以匹配其他组件的数据。直接耦合基于阻抗和模态的组件的方法尚未得到解决。提出的模态子结构阻抗 (IMS) 方法通过以一种允许用户直接利用一个组件的模态数据和另一个组件的 FRF 数据的形式编写方程来解决这种情况，从而在耦合不同组件数据集时提供更大的灵活性。虽然旨在与实验数据一起使用，但该方法也可以实现分析组件。在这项工作中，开发了一种方法，允许直接耦合阻抗和模态模型，而无需用户转换组件数据类型。这项工作中得出的 IMS 方法使用各种模型的分析和实验数据进行了验证。