Abstract An approach that combines the transfer matrix method (TMM) and single variable model updating is proposed to determine the natural frequencies and mode shapes of a cantilever beam formed by an adhesively bonded single lap joint (SLJ). When the TMM is applied to the SLJ beam, the key is to determine the effective density and effective elastic modulus for the overlap region element. In this study, the effective density is determined using a volume fraction approach and the effective elastic modulus is determined using a single variable model updating approach. This approach is compared with a commonly used additive approach to determine the overlap region effective elastic modulus. The performance of the proposed single variable model updating approach is evaluated using a finite element model and experimental testing as benchmarks. The proposed single variable TMM model updating approach consistently outperforms the additive approach for the single lap joint specimens considered. Further, the robustness and general applicability of the overlap region effective elastic modulus are demonstrated, including its ability to deal with uncertainty. Insights about the impact of selected structural modifications on the natural frequencies of the single lap joint specimens are discussed.

中文翻译：

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使用传递矩阵法和模型更新确定单搭接粘接接头的模态参数

摘要 提出了一种结合传递矩阵法（TMM）和单变量模型更新的方法来确定由胶粘单搭接接头（SLJ）形成的悬臂梁的固有频率和振型。当 TMM 应用于 SLJ 梁时，关键是确定重叠区域单元的有效密度和有效弹性模量。在这项研究中，有效密度使用体积分数方法确定，有效弹性模量使用单变量模型更新方法确定。将此方法与常用的加法方法进行比较，以确定重叠区域的有效弹性模量。使用有限元模型和实验测试作为基准来评估所提出的单变量模型更新方法的性能。所提出的单变量 TMM 模型更新方法始终优于所考虑的单搭接接头试样的加法方法。此外，还证明了重叠区域有效弹性模量的稳健性和普遍适用性，包括其处理不确定性的能力。讨论了有关选定结构修改对单搭接接头试样固有频率的影响的见解。