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《Journal of Zhejiang University(Engineering Science)》 2018-05
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Inversion algorithm for the geometric imperfection distribution of existing reticulated structures

WU Jun;LUO Yong-feng;WANG Lei;Department of Structural Engineering,Tongji University;Tongen Civil Engineering Technology Consulting Co.;  
A Markov Random Field(MRF)model of existing reticulated structures was proposed by leading into the probabilistic graph model in view of the fact that the traditional sampling method can hardly obtain the actual distribution of geometric imperfections of existing structures.The calculation unit of double-node and triple-node clique was proposed.The corresponding geometric state function was deducted based on the assumption of local Markov property.The inversion equation for the geometric imperfection distribution of existing reticulated structures were proposed by introducing the joint probability distribution function of MRF.Then,in order to determine the geometric imperfection distribution,the inversion iteration equation was deducted using iterative maximum likelihood method.An experimental model of K6 single-layer reticulated shell was designed to verify the inversion algorithm by calculating and comparing the mode of geometric imperfection distribution.When the ratio of the measured points is greater than 16.5%,the geometric imperfection mode from the inversion calculation has good similarity with the actual mode.The results can even identify the abnormal values of the measured points.
【Fund】: 国家自然科学基金资助项目(51678431)
【CateGory Index】: TU399
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