The application of element-free Galerkin method in the problem of the cantilever beam

Wei Ji; Maohui Xia; Wei Guan; Hui Zeng

doi:10.1117/12.837207

10 July 2009 The application of element-free Galerkin method in the problem of the cantilever beam

Wei Ji, Maohui Xia, Wei Guan, Hui Zeng

Proceedings Volume 7490, PIAGENG 2009: Intelligent Information, Control, and Communication Technology for Agricultural Engineering; 749028 (2009) https://doi.org/10.1117/12.837207
Event: International Conference on Photonics and Image in Agriculture Engineering (PIAGENG 2009), 2009, Zhangjiajie, China

Abstract

Element-free Galerkin method (EFGM) is a new numerical method developed recently. In this paper, shape function is constructed by Moving Least Square (MLS). Lagrange multiplier is used to satisfy essential boundary conditions. The problem of the cantilever beam is analyzed by using different weight functions. The numerical example shows that the EFGM results are similar with the exact results if weight function selected properly, which shows that EFGM is feasible and effective.

Citation Download Citation

Wei Ji, Maohui Xia, Wei Guan, and Hui Zeng "The application of element-free Galerkin method in the problem of the cantilever beam", Proc. SPIE 7490, PIAGENG 2009: Intelligent Information, Control, and Communication Technology for Agricultural Engineering, 749028 (10 July 2009); https://doi.org/10.1117/12.837207

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