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IEFG Method For Large Deflection Problem Of Thin Plates

Posted on:2011-11-21Degree:MasterType:Thesis
Country:ChinaCandidate:P YinFull Text:PDF
GTID:2120360305976451Subject:Computational Mathematics
Abstract/Summary:PDF Full Text Request
IEFG method for large deflection of thin plates is proposed in this paper. It is based on IMLS and Galerkin method and combined with basic theory about large deflection.IEFG is an improved method based on EFG method. It takes orthogonal functions formed by Schmidt method as basis functions of the moving least square approximation. It is not only inherited the MLS'consistency, stability, etc. but also avoiding ill-conditioned equations,so calculation is easier and more accurate. For solving high level nonlinear coupled control equation system directly is very difficult, the method with global Galerkin weak form is used in this paper to discrete control equation.To verify the reliability of the method I programmed for three examples with different boundary conditions.The examples show that the IEFG method can also solve nonlinear problems of thin plates bending with higher efficiency and stability.
Keywords/Search Tags:Improved moving least squares approximation (IMLS), IEFG method, Galerkin meshless method, geometric nonlinear, large deflection
PDF Full Text Request
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