A cell - based smoothed finite element method for free vibration and buckling analysis of shells

Chien Thai-Hoang, Nhon Nguyen-Thanh, Hung Nguyen-Xuan, Timon Rabczuk, Stephane Bordas

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)347-361
Number of pages15
JournalKSCE Journal of Civil Engineering
Volume15
Issue number2
DOIs
Publication statusPublished - 2011 Feb 3
Externally publishedYes

Fingerprint

Stiffness matrix
Buckling
Interpolation
Finite element method
Membranes
Costs

Keywords

  • Buckling
  • Finite element method
  • Flat shell element
  • Free vibration
  • Smoothed finite element method
  • Transverse shear locking

ASJC Scopus subject areas

  • Civil and Structural Engineering

Cite this

A cell - based smoothed finite element method for free vibration and buckling analysis of shells. / Thai-Hoang, Chien; Nguyen-Thanh, Nhon; Nguyen-Xuan, Hung; Rabczuk, Timon; Bordas, Stephane.

In: KSCE Journal of Civil Engineering, Vol. 15, No. 2, 03.02.2011, p. 347-361.

Research output: Contribution to journalArticle

Thai-Hoang, Chien ; Nguyen-Thanh, Nhon ; Nguyen-Xuan, Hung ; Rabczuk, Timon ; Bordas, Stephane. / A cell - based smoothed finite element method for free vibration and buckling analysis of shells. In: KSCE Journal of Civil Engineering. 2011 ; Vol. 15, No. 2. pp. 347-361.
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