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Inelastic static and dynamic seismic response assessment of frames with stochastic properties
Structure and Infrastructure Engineering ( IF 3.7 ) Pub Date : 2020-05-05 , DOI: 10.1080/15732479.2020.1757728
Georgios Balokas 1 , Michalis Fragiadakis 2
Affiliation  

Abstract

The article studies the inelastic seismic response assessment of structures with spatially varying material properties via the stochastic finite element method. This is a problem with a complex response function due to stochastic variability and material nonlinearity. Existing formulations either assume linear-elastic behaviour, or use dense models in order to capture both stochasticity and inelasticity. This results to models that require excessive computational resources. The article shows that for material nonlinear problems, the stochastic variability can be taken into consideration using flexibility-based models which allow performing repeated time-history simulations within a reasonable computational time, without loss of accuracy. The interpolation can be adjusted through a user-defined parameter, thus avoiding the need for a dense FE mesh. Contrary to past research, the modelling proposed has many applications in structural engineering, since it allows nonlinear, static or dynamic, simulations of real-scale frame structures with stochastic properties. The proposed method is demonstrated in the framework of the spectral representation method combined with Monte Carlo simulations, but it can be combined with any other method for the description of the stochastic field. A generic single-storey steel frame and a six-storey reinforced concrete frame are considered in order to demonstrate the efficiency of the proposed modelling.



中文翻译:

具有随机特性的框架的非弹性静态和动态地震响应评估

摘要

本文通过随机有限元方法研究了材料特性在空间上变化的结构的非弹性地震响应评估。由于随机可变性和材料非线性,这是具有复杂响应函数的问题。现有的公式要么假定为线性弹性行为,要么使用密集模型来捕获随机性和非弹性。这导致需要大量计算资源的模型。该文章表明,对于材料非线性问题,可以使用基于灵活性的模型来考虑随机变异性,该模型允许在合理的计算时间内执行重复的时间历史模拟,而不会损失准确性。可以通过用户定义的参数来调整插值,从而避免了需要密集的FE网格。与过去的研究相反,所提出的建模在结构工程中具有许多应用,因为它允许非线性,静态或动态模拟具有随机特性的真实框架结构。所提出的方法在与蒙特卡洛模拟相结合的频谱表示方法的框架中得到了证明,但是可以与任何其他描述随机场的方法相结合。考虑了通用的单层钢框架和六层钢筋混凝土框架,以证明所提出建模的效率。所提出的方法在与蒙特卡洛模拟相结合的频谱表示方法的框架中得到了证明,但是可以与任何其他描述随机场的方法相结合。考虑了通用的单层钢框架和六层钢筋混凝土框架,以证明所提出建模的效率。所提出的方法在与蒙特卡洛模拟相结合的频谱表示方法的框架中得到了证明,但是可以与任何其他描述随机场的方法相结合。考虑了通用的单层钢框架和六层钢筋混凝土框架,以证明所提出建模的效率。

更新日期:2020-05-05
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