Abstract
Modal frequencies are often used in structural model updating based on the finite element model, and metamodel technique is often applied to the corresponding optimization process. In this work, the Kriging model is used as the metamodel. Firstly, the influence of different correlation functions of Kriging model is inspected, and then the approximate capability of Kriging model is investigated via inspecting the approximate accuracy of nonlinear functions. Secondly, a model updating procedure is proposed based on the Kriging model, and the samples for constructing Kriging model are generated via the method of Optimal Latin Hypercube. Finally, a typical frame structure is taken as a case study and demonstrates the feasibility and efficiency of the proposed approach. The results show the Kriging model can match the target functions very well, and the finite element model can achieve accurate frequencies and can reliably predict the frequencies after model updating.
Highlights
Metamodel has been introduced, for some years to model updating procedure, due to its fast iteration advantage
In the case of dynamic model updating, the dynamic analysis and objective function of the optimization problem have nonlinear characteristics, which the commonly used Response Surface Method (RSM) [12] is incapable of approximating, the Kriging model is introduced to the dynamic model updating, as a more accurate metamodel
M Odel updating method based on metamodel is studied in this article, where the advantages of different correlation functions and different sampling methods are compared, so that Gaussian function and Optimal Latin Hypercube (OLH) are selected for the Kriging model
Summary
For some years to model updating procedure, due to its fast iteration advantage. In the structural dynamic model updating case, the metamodel can achieve computational efficiency, when used in place of the Finite Element Model (FEM), during the iteration process of optimization. As one of the most common dynamic model updating approaches, modal parameter based model updating is applied on different finite element models for various structures. Based on the modal parameter, the proposed method made Particle Swarm Optimization (PSO) possible to apply, for the model updating of a large-scale railway bridge [10]. In the case of dynamic model updating, the dynamic analysis and objective function of the optimization problem have nonlinear characteristics, which the commonly used Response Surface Method (RSM) [12] is incapable of approximating, the Kriging model is introduced to the dynamic model updating, as a more accurate metamodel. A procedure of model updating is proposed, while a model updating of modal frequencies in a typical frame structure is used as case study
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