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Uncertainty Updating of Finite Element Models Using Interval Analysis
International Journal of Structural Stability and Dynamics ( IF 3.6 ) Pub Date : 2020-10-16 , DOI: 10.1142/s0219455420410126
Deshan Shan 1 , Y. H. Chai 2 , Hao Dong 1 , Zhonghui Li 1
Affiliation  

Uncertainties in structural parameters and measurements can be accounted for by incorporating interval analysis into the updating scheme of finite element models using a response-surface function. To facilitate the interval arithmetic operation, two different strategies are proposed in this paper to transform the response-surface function into a corresponding interval response-surface function. These strategies minimize the inherent interval overestimation that can arise from the variable dependency of the surrogate model. In the first strategy, the natural extension and centered-form extension methods are used to mitigate the interval overestimation of the surrogate model, which may or may not contain interaction terms. In the second strategy, the natural extensión method is also adopted to realize the interval transformation of the surrogate model containing interaction terms but an affine arithmetic is further introduced to minimize the interval overestimation. To demonstrate the efficacy of the proposed method, model parameters are determined from an instrumented model of a cable-stayed bridge tested on a shaking table. Results show that the proposed updating method is feasible and effective for applications to finite element models of complex bridge structures.

中文翻译:

使用区间分析更新有限元模型的不确定性

结构参数和测量的不确定性可以通过将区间分析结合到使用响应面函数的有限元模型的更新方案中来解决。为了方便区间算术运算,本文提出了两种不同的策略来将响应面函数转换为相应的区间响应面函数。这些策略最大限度地减少了可能由代理模型的变量依赖性引起的固有区间高估。在第一种策略中,使用自然扩展和中心形式扩展方法来减轻代理模型的区间高估,该模型可能包含也可能不包含交互项。在第二种策略中,还采用自然扩展方法来实现包含交互项的代理模型的区间变换,但进一步引入了仿射算法以最小化区间高估。为了证明所提出方法的有效性,模型参数是根据在振动台上测试的斜拉桥的仪器模型确定的。结果表明,所提出的更新方法对于复杂桥梁结构有限元模型的应用是可行和有效的。
更新日期:2020-10-16
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