Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations

S. N. Atluri, J. Y. Cho, H. G. Kim

Research output: Contribution to journalArticle

189 Scopus citations

Abstract

In this paper, the conventional moving least squares interpolation scheme is generalized, to incorporate the information concerning the derivative of the field variable into the interpolation scheme. By using this generalized moving least squares interpolation, along with the MLPG (Meshless Local Petrov-Galerkin) paradigm, a new numerical approach is proposed to deal with 4th order problems of thin beams. Through numerical examples, convergence tests are performed; and problems of thin beams under various loading and boundary conditions are analyzed by the proposed method, and the numerical results are compared with analytical solutions.

Original languageEnglish
Pages (from-to)334-347
Number of pages14
JournalComputational Mechanics
Volume24
Issue number5
DOIs
StatePublished - Nov 1999

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