Substructuring approaches have been extensively used since long time to predict the vibroacoustic behaviour of built-up mechanical systems. In the frequency domain, these methods build on the dynamic characterisation of the subsystems via frequency response functions at the coupling interfaces. Intensively used for subsystems connected by points, dynamic substructuring still constitutes an open area of research for systems comprising continuous interfaces. Within this framework, a method which allows to characterise subsystems connected along lines is presented. The approach is based on a discretisation of the continuous interfaces into a small set of points, where the information of the subsystems is condensed. For this purpose, an inverse approach is used, which allows to characterise the dynamics of the passive subsystem using data of the assembled system. A straightforward inversion, however, does not assure the physical consistency of the characterized subsystem. In other words, the subsystem extraction procedure must not only guarantee correct dynamic behaviour of the assembled system, but the obtained subsystem must also be reciprocal and passive. The central theme of this paper is the formulation of a constrained optimisation procedure for the enforcement of reciprocity and passivity on the inversely obtained subsystem characteristics. The method is validated on a structure made of two plates connected along a common edge through a beam.

长期以来，子结构化方法已被广泛使用，以预测已建立的机械系统的振动声行为。在频域中，这些方法基于耦合接口上的频率响应功能对子系统进行动态表征。动态子结构已广泛用于通过点连接的子系统，仍然构成了包​​含连续接口的系统的开放研究领域。在此框架内，提出了一种方法，可以表征沿线连接的子系统。该方法基于将连续接口离散化为一小组点，在这些点上，子系统的信息被压缩。为此目的，使用了一种逆向方法，这样就可以使用组装后的系统数据来表征无源子系统的动态特性。然而，直接的倒置并不能确保所表征子系统的物理一致性。换句话说，子系统提取过程不仅必须保证组装后系统的正确动态行为，而且获得的子系统还必须是对等的和被动的。本文的中心主题是制定约束优化程序，以对反向获得的子系统特性实施互惠性和被动性。该方法在由两块板组成的结构上得到验证，该结构沿着一条梁沿着一条公共边缘连接。子系统提取过程不仅必须保证组装后系统的正确动态行为，而且获得的子系统还必须是对等的和被动的。本文的中心主题是制定约束优化程序，以对反向获得的子系统特性实施互惠性和被动性。该方法在由两块板组成的结构上得到验证，该结构沿着一条梁沿着一条公共边缘连接。子系统提取过程不仅必须保证组装后系统的正确动态行为，而且获得的子系统还必须是对等的和被动的。本文的中心主题是制定约束优化程序，以针对反向获得的子系统特性实施互惠性和被动性。该方法在由两块板组成的结构上得到验证，该结构沿着一条梁沿着一条公共边缘连接。