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Estimation of mechanical parameters based on output-only measurements using Kronecker product equivalence and mass perturbations
Journal of Sound and Vibration ( IF 4.7 ) Pub Date : 2021-02-14 , DOI: 10.1016/j.jsv.2021.116016
Max Vollmering , Maximilian Breitkreuz , Armin Lenzen

In this article the estimation of mechanical parameters using vibrational output-only measurements due to ambient excitations is elaborated. The estimated mechanical parameters are solely based on measurements. They are equivalent to analytically derived mechanical parameters of models, which are discretized corresponding to the measurement set-up. In comparison to the analytically derived models no prior knowledge (e.g. material properties) is required to apply the methods presented in this paper. The authors discuss two novel estimation methods on the basis of the Kronecker product equivalence and mass perturbations. Afterwards, both methods are compared to well-known modal approaches using real and complex eigenvectors. Finally, the discussed methods are numerically evaluated using simulated and real laboratory measurements of a cantilever steel beam. In these studies the novel Kronecker product based methods have proved more accurate than the modal approaches.



中文翻译:

使用Kronecker乘积当量和质量扰动基于仅输出的测量值估算机械参数

本文估算机械参数阐述了由于环境激励而使用仅振动输出的测量方法。估计的机械参数仅基于测量值。它们等效于模型的解析得出的机械参数,这些参数对应于测量设置而离散化。与分析得出的模型相比,不需要先验知识(例如材料特性)即可应用本文介绍的方法。作者讨论了两种基于Kronecker乘积等价和质量扰动的新颖估计方法。之后,将这两种方法与使用实特征向量和复杂特征向量的众所周知的模态方法进行比较。最后,使用悬臂钢梁的模拟和真实实验室测量值对所讨论的方法进行了数值评估。

更新日期:2021-02-28
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