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基于Kriging代理模型的拉压不同模量平面问题的近似求解

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Date of Publication:2013-01-01

Journal:工程力学

Volume:30

Issue:4

Page Number:23

ISSN No.:1000-4750

Abstract:Kriging surrogate model is suggested to approximate the solutions of
   bimodular plane elastic problems. By utilizing a smoothed constitutive
   equation, finite element method, and the Latin hypercube sampling skill,
   a Kriging model based approximate numerical solution is presented to
   surrogate the FEM based solution of bimodular trusses and 2D plane
   problems. The impacts of sample numbers and problem scales on the
   computing accuracy/efficiency of the surrogate model are investigated.
   Numerical tests indicate that the proposed approach is capable of
   providing an approximate numerical solution with a reasonable computing
   accuracy for the bimodular plane problem, and considerable amount of
   computing time can be saved particularly when the solutions of direct
   bimodular problems are continually required and the problem scale is
   relatively large. The work presented in this paper is significantly
   valuable for saving computing time in solving the inverse bimodular
   problem and bimodular optimization problem.

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