Perturbation-Based Stochastic Meshless Method for Buckling Analysis of Plates

Aswathy M.; Arun C. O.

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Perturbation-Based Stochastic Meshless Method for Buckling Analysis of Plates

机译：Perturbation-Based Stochastic Meshless Method for Buckling Analysis of Plates

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The current paper presents a perturbation-based stochastic eigenvalue buckling analysis of thin plates using element free Galerkin method. Spatial variation in Young’s modulus is modeled as a homogeneous random field and moving least square-based shape function method is employed for discretizing the random field. Perturbation method is used to evaluate the statistics of buckling loads. Numerical examples wherein rectangular plates with different boundary conditions are solved and the statistics obtained are compared with those calculated using Monte Carlo simulation. Different parametric studies are also conducted. The results obtained from perturbation method are found to be reasonably accurate for coefficient of variation (CV) values less than 20 for random fields with normal distribution. Further it is observed that for random fields with lognormal distribution, the proposed method produces reasonably accurate results up to a CV of 30.

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《International journal of computational methods》 |2021年第10期|共24页
作者
Aswathy M.; Arun C. O.;
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作者单位

Department of Aerospace Engineering, Indian Institute of Space Science and Technology, Thiruvananthapuram 695547, Kerala,India;

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原文格式 PDF
正文语种英语
中图分类数学;
关键词
Stochastic meshless method; plate buckling; perturbation method;

Perturbation-Based Stochastic Meshless Method for Buckling Analysis of Plates

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