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Accuracy of multiparameter eigenvalues used for dynamic model updating with measured natural frequencies only

机译:仅使用测得的固有频率进行动态模型更新的多参数特征值的准确性

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Analytical models of linear elastomechanical systems can be updated by model parameter estimation provided that the structure of the model equations and the parametrisation of the spatially discretised model are consistent with the system under test. Due to the difference between the number of degrees of freedom (dof) of the analytical model and the number of measured dof there is usually a lack of measurement information not only for large-scale models but also for models e.g. finite-element-models (FE-models) with not measured rotational dof. However, only a minimum set of test data is needed for estimating the actual model parameter values if the original inverse problem of updating the linear analytical model is transformed to a corresponding multiparameter eigenvalue problem. In this paper, it is discussed how many natural frequencies of a system have to be measured and which accuracy of measurement is necessary to obtain reliable model parameter estimates for a given set of model parameters.
机译:线性弹性力学系统的分析模型可以通过模型参数估计来更新,只要模型方程的结构和空间离散模型的参数化与被测系统一致即可。由于分析模型的自由度(dof)数与测得的自由度数之间存在差异,因此,不仅对于大型模型,而且对于模型(例如模型),通常都缺乏测量信息。旋转自由度未测量的有限元模型(FE模型)。但是,如果将更新线性分析模型的原始反问题转换为相应的多参数特征值问题,则仅需要最少的测试数据集即可估算实际模型参数值。在本文中,将讨论必须测量多少个系统固有频率,以及对于给定的一组模型参数而言,要获得可靠的模型参数估计值,必须具有哪种测量精度?

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