Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jsv.2006.10.035
Title: Free and forced vibration analysis using the smoothed finite element method (SFEM)
Authors: Dai, K.Y. 
Liu, G.R. 
Issue Date: 3-Apr-2007
Source: Dai, K.Y., Liu, G.R. (2007-04-03). Free and forced vibration analysis using the smoothed finite element method (SFEM). Journal of Sound and Vibration 301 (3-5) : 803-820. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jsv.2006.10.035
Abstract: Smoothed finite element method (SFEM) was recently proposed by the authors to improve the accuracy and convergence rate of the existing standard four-node isoparametric finite element method (FEM) by 2×2 quadrature in the static analysis. In this work, it is further extended to the free and forced analysis of two-dimensional (2D) dynamic problems. It is found that SFEM achieves more accurate results and higher convergence rates as compared with the corresponding finite elements in solving dynamic problems without increasing the computational cost. As only shape function itself is involved in computing the field gradients and no coordinate transformation is required, the method is very easy to implement. Nonlinear elastic forced vibration problem is also examined by using smoothed deformation gradients on each cell. © 2006 Elsevier Ltd. All rights reserved.
Source Title: Journal of Sound and Vibration
URI: http://scholarbank.nus.edu.sg/handle/10635/51421
ISSN: 0022460X
DOI: 10.1016/j.jsv.2006.10.035
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