Article (Scientific journals)
A cell - based smoothed finite element method for free vibration and buckling analysis of shells
Thai-Hoang, Chien; Nguyen-Thanh, Nhon; Nguyen-Xuan, Hung et al.
2011In KSCE Journal of Civil Engineering, 15 (2), p. 347-361
Peer reviewed
 

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Keywords :
Buckling; Finite element method; Flat shell element; Free vibration; Smoothed finite element method; Transverse shear locking; Buckling analysis; Cell-based; Computational costs; Geometrical stiffness; Gradient smoothing; Mindlin; MITC4 elements; Mixed interpolations; Natural coordinates; Numerical results; Numerical solution; Shell element; Interpolation; Shells (structures); Stiffness; Stiffness matrix; Vibration analysis
Abstract :
[en] This paper further extends a cell-based smoothed finite element method for free vibration and buckling analysis of shells. A four-node quadrilateral Mindlin-Reissner shell element with a gradient smoothing operator is adopted. The membrane-bending and geometrical stiffness matrices are computed along the boundaries of the smoothing cells while the shear stiffness matrix is calculated by an independent interpolation in the natural coordinates as in the MITC4 (the Mixed Interpolation of Tensorial Components) element. Various numerical results are compared with existing exact and numerical solutions and they are in good agreement. The advantage of the present formulation is that it retains higher accurate than the MITC4 element even for heavily distorted meshes without increasing the computational cost. © 2011 Korean Society of Civil Engineers and Springer-Verlag Berlin Heidelberg.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Thai-Hoang, Chien;  Division of Computational Mechanics, Ton Duc Thang University, Hochiminh 70000, Viet Nam
Nguyen-Thanh, Nhon;  Institute of Structural Mechanics, Bauhaus of University, Weimar 99423, Germany
Nguyen-Xuan, Hung;  Dept. of Mechanics, Faculty of Mathematics and Computer Science, University of Science-VNU HCM, Hochiminh, Viet Nam
Rabczuk, Timon;  Institute of Structural Mechanics, Bauhaus of University, Weimar 99423, Germany
Bordas, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
External co-authors :
yes
Language :
English
Title :
A cell - based smoothed finite element method for free vibration and buckling analysis of shells
Publication date :
2011
Journal title :
KSCE Journal of Civil Engineering
ISSN :
1226-7988
Volume :
15
Issue :
2
Pages :
347-361
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
Funders :
Vietnam National Foundation for Science and Technology Development (NAFOSTED; Grant No. 107.02- 2010.05)
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