Geometric Imperfection Distributions of Existing Reticulated Shells: Theoretical and Experimental Analysis
Geometric Imperfection Distributions of Existing Reticulated Shells: Theoretical and Experimental Analysis
复制标题
现有网壳的几何缺陷分布：理论和实验分析
DOI：
10.1007/s13296-020-00395-5
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发表时间：
2020-09
影响因子：
1.5
通讯作者：
王磊
中科院分区：
文献类型：
--
作者：
吴俊;罗永峰;王磊
几何缺陷是影响现有网壳结构受力性能的最不利因素之一。然而，现有的结构设计中常用的一致模态法和统计法，由于使用了假定的缺陷，很难估计出结构的实际几何缺陷分布。引入概率图模型理论，建立了既有网壳结构的马尔可夫随机场理论模型。基于局部马尔可夫性质，提出了节点团单元来推导网壳结构的几何状态函数。然后建立反演函数及其迭代方程，预测既有网壳结构的几何缺陷分布。MRF方法使数值模式的预测分布与其对应的实际结构尽可能一致，且只需要少量的测量节点作为已知条件。建立了K6单层网壳的实验结构，通过将几何缺陷分布的计算结果与实际测量数据进行比较，验证了理论的正确性。同时，分析了磁流变液与传统随机方法计算结果的显著差异，表明磁流变液能有效地预测单层网壳的几何缺陷。
Geometric imperfection is one of the most disadvantageous factors that impair mechanical behaviors of existing reticulated shell structures. However, the available consistent mode methods and statistical methods which usually applied in designing structures can hardly estimate the actual geometric imperfection distribution for existing structures, because these methods use the assumed imperfections. In this paper, a Markov Random Field (MRF) theoretical model of existing reticulated shells is established by introducing the theory of probabilistic graphical model. The unit of graphic model named node clique are proposed to deduct the geometric state function of reticulated shells, based on the local Markov property. Then the inversion function along with its iterative equation is established to predict geometric imperfection distribution of existing reticulated shells. The MRF method makes the predicted distribution of the numerical model as consistent as possible with its corresponding actual structure, and only a few measurement nodes are needed as known conditions. An experimental structure of K6 single-layer reticulated shell is built to verify the proposed theory by comparing the calculated geometric imperfection distribution results with the actual measured data. Meanwhile, the significance level of the calculated results between MRF and traditional stochastic method is analyzed, which shows MRF method can effectively predict the geometric imperfections of single layer reticulated shells.
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影响因子：
4.1
作者：
F. Fan;Jiachuan Yan;Z. Cao
通讯作者：
F. Fan;Jiachuan Yan;Z. Cao
影响因子：
6.4
作者：
F. Fan;Jiachuan Yan;Z. Cao
通讯作者：
F. Fan;Jiachuan Yan;Z. Cao
DOI：
10.1016/j.proeng.2013.12.057
发表时间：
2013
期刊：
Procedia Engineering
影响因子：
--
作者：
B. Kühn
通讯作者：
B. Kühn
DOI：
--
发表时间：
2012
期刊：
Journal of Building Structures
影响因子：
--
作者：
Jiachuan Yan;Fan Feng;Z. Cao
通讯作者：
Jiachuan Yan;Fan Feng;Z. Cao
DOI：
10.1002/tal.747
发表时间：
2013-09
期刊：
The Structural Design of Tall and Special Buildings
影响因子：
--
作者：
F. S. Amiri;G. G. Amiri-G.;H. Razeghi
通讯作者：
F. S. Amiri;G. G. Amiri-G.;H. Razeghi