Probabilistic stability of uncertain composite plates and stochastic irregularity in their buckling mode shapes:A semi-analytical non-intrusive approach  

作　　者：Arash Tavakoli MALEKI Hadi PARVIZ Akbar A.KHATIBI Mahnaz ZAKERI 

机构地区：[1]Advanced Structures Research Laboratory,K.N.Toosi University of Technology,Tehran 16569-83911,Iran [2]Faculty of New Sciences and Technologies,University of Tehran,Tehran 16569-83911,Iran [3]School of Engineering,RMIT University,Melbourne VIC 3001,Australia

出　　处：《Frontiers of Structural and Civil Engineering》2023年第2期179-190,共12页结构与土木工程前沿（英文版）

摘　　要：In this study,the mechanical properties of the composite plate were considered Gaussian random fields and their effects on the buckling load and corresponding mode shapes were studied by developing a semi-analytical nonintrusive approach.The random fields were decomposed by the Karhunen−Loève method.The strains were defined based on the assumptions of the first-order and higher-order shear-deformation theories.Stochastic equations of motion were extracted using Euler-Lagrange equations.The probabilistic response space was obtained by employing the nonintrusive polynomial chaos method.Finally,the effect of spatially varying stochastic properties on the critical load of the plate and the irregularity of buckling mode shapes and their sequences were studied for the first time.Our findings showed that different shear deformation plate theories could significantly influence the reliability of thicker plates under compressive loading.It is suggested that a linear relationship exists between the mechanical properties’variation coefficient and critical loads’variation coefficient.Also,in modeling the plate properties as random fields,a significant stochastic irregularity is obtained in buckling mode shapes,which is crucial in practical applications.

关 键 词：uncertain composite plate stochastic assume mode method Karhunen−Loève theorem polynomial chaos approach plate buckling irregularity in buckling mode shapes 

分 类 号：TB33[一般工业技术—材料科学与工程]