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A finite element model updating method based on global optimization
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DOI：10.1016/j.ymssp.2020.107372.png)
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Abstract
En 中文
Finite element model updating of a structure made of linear elastic materials is based on the solution of a minimization problem. The goal is to find some unknown parameters of the finite element model (elastic moduli, mass densities, constraints and boundary conditions) that minimize an objective function which evaluates the discrepancy between experimental and numerical dynamic properties. The objective function depends nonlinearly on the parameters and may have multiple local minimum points. This paper presents a numerical method able to find a global minimum point and assess its reliability. The numerical method has been tested on two simulated examples ? a masonry tower and a domed temple ? and validated via a generic genetic algorithm and a global sensitivity analysis tool. A real case study monitored under operational conditions has also been addressed, and the structure?s experimental modal properties have been used in the model updating procedure to estimate the mechanical properties of its constituent materials. Finite element (FE) model updating is an essential component of numerical simulations in structural engineering [1?3]. It aims to calibrate the FE model of a structure in order to match numerical results with those obtained via experimental vibration tests. The calibration allows determining unknown structure?s characteristics, such as material properties, constraints, and boundary conditions. While the main advantage of such calibration is an updated FE model that can be used to obtain more reliable predictions regarding the dynamic behaviour of the structure, a further important application of model updating is damage detection [4?6]. FE model updating consists of solving a constrained minimum problem, the objective function being the distance Finite element model updating of a structure made of linear elastic materials is based on the solution of a minimization problem. The goal is to find some unknown parameters of the finite element model (elastic moduli, mass densities, constraints and boundary conditions) that minimize an objective function which evaluates the discrepancy between experimental and numerical dynamic properties. The objective function depends nonlinearly on the parameters and may have multiple local minimum points. This paper presents a numerical method able to find a global minimum point and assess its reliability. The numerical method has been tested on two simulated examples-a masonry tower and a domed temple-and validated via a generic genetic algorithm and a global sensitivity analysis tool. A real case study monitored under operational conditions has also been addressed, and the structure's experimental modal properties have been used in the model updating procedure to estimate the mechanical properties of its constituent materials. (c) 2020 Elsevier Ltd. All rights reserved.
Keywords:
Modal analysis
Finite elements
Model updating
Global optimization
Sensitivity
Masonry constructions
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