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Replacement of unobservable coupling DoFs in substructure decoupling

机译：在子结构解耦中替换无法观察到的耦合自由度

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摘要

In this paper, suitable criteria are sought for an optimal replacement of unobservable cou-pling DoFs when performing substructure decoupling, that is the identification of a dynamic model of a substructure embedded in a known structure. The need arises since coupling DoFs are often difficult to observe, either because they cannot be easily accessed or because they include rotational DoFs. The substitution must be carried out both to pre-serve the information that would be lost when some coupling DoFs are not taken into account, and to avoid or minimize ill-conditioning problems. As shown in previous papers, coupling DoFs can be effectively replaced by internal DoFs for the sake of substructure decoupling. Furthermore, criteria for an appropriate selection of the internal DoFs used to replace unobservable coupling DoFs are sketched, which involve either the Frequency Response Function (FRF) or the transmissibility between internal and coupling DoFs. Here, previously introduced FRF and transmissibility criteria are combined with the con-dition number of the interface flexibility matrix to develop a procedure to optimally replace some coupling DoFs with a subset of internal DoFs. The procedure is tested using both simulated and experimental data of a tree structure (known structure), made by a cantilever beam with two offset short arms, coupled to another beam (structure to be identified).
机译：在本文中，寻求合适的标准，以在执行子结构解耦时最佳替代不可观察的耦合自由度，即识别嵌入已知结构的子结构的动力学模型。由于由于常常难以观察耦合的DoF，或者由于它们不容易接近或者因为它们包括旋转的DoF，所以出现了需要。必须执行替换操作，以保留不考虑某些耦合DoF时丢失的信息，并避免或减少不良状况问题。如前几篇论文所示，为使子结构去耦，可以将耦合自由度有效地替换为内部自由度。此外，勾画了用于选择内部DoF来替代不可观察的耦合DoF的标准，其中涉及频率响应函数（FRF）或内部与耦合DoF之间的可传递性。在这里，先前介绍的FRF和可传递性标准与接口灵活性矩阵的条件数相结合，以开发一种程序，以内部DoF的子集最佳地替换一些耦合DoF。使用树形结构（已知结构）的模拟和实验数据对过程进行测试，该结构由具有两个偏置短臂的悬臂梁连接到另一个梁（待识别结构）制成。

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