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首页> 外文会议>IMAC Conference on Structural Dynamics >Quantification of Parametric Model Uncertainties in Finite Element Model Updating Problem via Fuzzy Numbers
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Quantification of Parametric Model Uncertainties in Finite Element Model Updating Problem via Fuzzy Numbers

机译：通过模糊数量的有限元模型更新问题的参数模型不确定性的定量

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Analytical and numerical models that simulate the physical processes inevitably contain errors due to the mathematical simplifications and the lack of knowledge about the physical parameters that control the actual behavior. In this sense, parametric identification of civil engineering structures using uncertain numerical models should be subject to a particular interest in terms of accuracy and reliability of identified models. In this study, model uncertainties are modeled by fuzzy numbers and quantified using fuzzy model updating approach. In order to find the possible variation range of the response parameters (e.g. natural frequencies, mode shapes and strains) using uncertain finite element model, successive updating is employed. A simplified approach is proposed in order to facilitate the time consuming successive model updating phase. The identified variation range of the response parameters is employed to construct the fuzzy membership functions for each response parameter. Finally, fuzzy finite element model updating method (FFEMU) is used to obtain the membership functions of the model parameters. Different sets of model parameters are chosen to represent different models in terms of accuracy and these parameters are identified in the same way to investigate the model complexity. A two span laboratory grid structure developed for simulating bridge structures is used to validate and demonstrate the proposed approaches. The results show that the proposed approaches can efficiently be utilized to quantify the modeling uncertainties for more realizable and quantitative condition assessment and decision making purposes.
机译：模拟物理过程的分析和数值模型不可避免地包含由于数学简化和对控制实际行为的物理参数的知识而缺乏错误。从这个意义上讲，使用不确定数值模型的土木工程结构的参数识别应根据所识别模型的准确性和可靠性而受到特别的兴趣。在本研究中，模型不确定性由模糊数进行模糊，并使用模糊模型更新方法量化。为了找到使用不确定的有限元模型的响应参数（例如自然频率，模式形状和菌株）的可能变化范围，采用连续更新。提出了一种简化的方法，以便于连续模型更新阶段耗时。采用响应参数的识别的变化范围来构建每个响应参数的模糊隶属函数。最后，模糊有限元模型更新方法（FFEMU）用于获取模型参数的成员资格函数。选择不同的模型参数以在准确性方面表示不同的模型，并且这些参数以相同的方式识别来调查模型复杂性。为模拟桥梁结构开发的两个跨度实验室网格结构用于验证和展示所提出的方法。结果表明，该提出的方法可以有效地利用来量化更可实现和定量条件评估和决策目的的建模不确定性。

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