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reliability mesh convergence analysis by introducing expanded control variates

Frontiers of Structural and Civil Engineering 2020年第4期14卷 1012-1023页

作者： Alireza GHAVIDEL Mohsen RASHK Hamed GHOHANI ARAB Mehdi AZHDARY MOGHADDAM Civil Engineering Department University ofSistan and BaluchestanZahedan ***Iran Department of Architecture University of Sistan and BaluchestanZahedan ***Iran

The safety evaluation of engineering systems whose performance evaluation requires finite element analysis is a challenge in reliability ***,Adjusted Control Variates Technique(ACVAT)has proposed by the authors to solve this *** uses the results of a finite element method(FEM)model with coarse mesh density as the control variates of the model with fine mesh and efficiently solves FEM-based reliability *** however does not provide any results about the reliability-based mesh convergence of the problem,which is an important tool in ***-refinement analysis allows checking whether the numerical solution is sufficiently accurate,even though the exact solution is *** this study,by introducing expanded control variates(ECV)formulation,ACVAT is improved and the capabilities of the method are also extended for efficient reliability mesh convergence analysis ofFEM-based reliability *** the present study,the FEM-based reliability analyses of four practical engineering problems are investigated by this method and the corresponding results are compared with accurate results obtained by analytical solutions for two *** results confirm that the proposed approach not only handles the mesh refinement progress with the required accuracy,but it also reduces considerably the computational cost of FEM-based reliability problems.

关键词： finite element reliability mesh convergence analysis expanded control variates

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