Proceedings of the Computational Structural Engineering Institute Conference (한국전산구조공학회:학술대회논문집)
- 2004.04a
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- Pages.333-340
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- 2004
Geometrically Nonlinear Analysis using Petrov-Galerkin Natural Element Method Natural Element Method
페트로프-갤러킨 자연요소법에 의한 기하하적 비선형 해석
Abstract
This paper deals with geometric nonlinear analyses using a new meshfree technique which improves the numerical integration accuracy. The new method called the Petrov-Galerkin natural element method (PGNEM) is based on the Voronoi diagram and the Delaunay triangulation which is based on the same concept used for conventional natural element method called the Bubnov-Galerkin natural element method (BGNEM). But, unlike BGNEM, the test shape function is differently chosen from the trial shape function. In the linear static analysis, it is ensured that the numerical integration error of the PGNEM is remarkably reduced. In this paper, the PGNEM is applied to large deformation problems, and the accuracy of the proposed numerical technique is verified through the several examples.
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