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Fuzzy finite element model updating using metaheuristic optimization algorithms

机译:基于元启发式优化的模糊有限元模型修正   算法

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摘要

In this paper, a non-probabilistic method based on fuzzy logic is used toupdate finite element models (FEMs). Model updating techniques use the measureddata to improve the accuracy of numerical models of structures. However, themeasured data are contaminated with experimental noise and the models areinaccurate due to randomness in the parameters. This kind of aleatoryuncertainty is irreducible, and may decrease the accuracy of the finite elementmodel updating process. However, uncertainty quantification methods can be usedto identify the uncertainty in the updating parameters. In this paper, theuncertainties associated with the modal parameters are defined as fuzzymembership functions, while the model updating procedure is defined as anoptimization problem at each {\alpha}-cut level. To determine the membershipfunctions of the updated parameters, an objective function is defined andminimized using two metaheuristic optimization algorithms: ant colonyoptimization (ACO) and particle swarm optimization (PSO). A structural exampleis used to investigate the accuracy of the fuzzy model updating strategy usingthe PSO and ACO algorithms. Furthermore, the results obtained by the fuzzyfinite element model updating are compared with the Bayesian model updatingresults.
机译:本文采用一种基于模糊逻辑的非概率方法来更新有限元模型。模型更新技术使用实测数据来提高结构数值模型的准确性。然而,由于参数的随机性,所测量的数据受到实验噪声的污染,并且模型不准确。这种不确定性是不可避免的,并且可能会降低有限元模型更新过程的准确性。但是,不确定性量化方法可用于识别更新参数中的不确定性。在本文中,与模态参数相关的不确定性被定义为模糊隶属度函数,而模型更新过程被定义为每个{\ alpha}切割级别的优化问题。为了确定更新参数的隶属函数,使用两个元启发式优化算法定义和最小化目标函数:蚁群优化(ACO)和粒子群优化(PSO)。通过结构实例研究了采用PSO和ACO算法的模糊模型更新策略的准确性。此外,将模糊有限元模型更新获得的结果与贝叶斯模型更新结果进行了比较。

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