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ERROR LOCALIZATION FOR UPDATING FINITE ELEMENT MODELS USING FREQUENCY-RESPONSE-FUNCTIONS

机译:使用频率响应函数更新有限元模型的错误定位

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摘要

In the present article, the authors develop a new formulation for the problem of updating Finite Element models based upon results obtained from experimental tests. The process of updating is iterative and divided in two stages, (i) localization of the zones where the highest errors between the theoretical model and the experimental results occur and (ii) correction of the theoretical model in those zones. This paper focuses on the first stage, the error localization, the technique developed being based upon the definition of an error measure on the constitutive relation, which takes into account the forced response of a mechanical system and consequently enabling the incorporation of the frequency-response-functions obtained from experiments. In some previous works, the use of an error measure on the constitutive relation has been shown as highly efficient in the whole process of Finite Element updating, when free vibration was considered and only the experimental resonant frequencies accounted for. The work presented here is, somehow, an extension of those others. At present, the method only accommodates undamped or very lightly damped systems, future extensions being sought. A numerical example is given, where various situations are simulated, in order to validate the method.
机译:在本文章中,作者开发用于更新基于从实验测试得到的结果有限元模型的问题,一个新的提法。更新的过程是迭代的,并且在两个阶段中分开,(i)在理论模型和实验结果之间的误差最高发生和(ii)在这些区域中的理论模型的校正的区域的定位。本文重点研究的第一阶段中,错误的定位,该技术开发的均基于该本构关系的误差测量,其中考虑到机械系统的受迫反应,并因此使该频率响应的掺入的定义-functions从实验中获得的。在一些以前的作品,使用上的本构关系的误差测量的已被示出为在有限元更新的全过程高效当自由振动被认为,只有实验谐振频率占。这里介绍的工作是,不知何故,这些人的延伸。目前,唯一的方法可容纳正在寻求无阻尼或非常小阻尼系统,未来的扩展。一个数值例子给出的,其中各种情况进行了仿真,以便验证该方法。

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