Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM)

T. Nguyen-Thoi, P. Phung-Van, Timon Rabczuk, H. Nguyen-Xuan, C. Le-Van

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

A n-sided polygonal cell-based smoothed finite element method (nCS-FEM) was recently proposed to analyze the elastic solid mechanics problems, in which the problem domain can be discretized by a set of polygons with an arbitrary number of sides. In this paper, the nCS-FEM is further extended to the free and forced vibration analyses of two-dimensional (2D) dynamic problems. A simple lump mass matrix is proposed and hence the complicated integrations related to computing the consistent mass matrix can be avoided in the nCS-FEM. Several numerical examples are investigated and the results found of the nCS-FEM agree well with exact solutions and with those of others FEM.

Original languageEnglish
Article number13400082
JournalInternational Journal of Computational Methods
Volume10
Issue number1
DOIs
Publication statusPublished - 2013 Feb 1
Externally publishedYes

Fingerprint

Forced Vibration
Vibration Analysis
Free Vibration
Vibration analysis
Finite Element Method
Finite element method
Cell
Solid Mechanics
Dynamic Problem
Polygon
Exact Solution
Mechanics
Numerical Examples
Computing
Arbitrary

Keywords

  • ν-sided polygonal cell-based smoothed finite element method (νCS-FEM)
  • cell-based smoothed finite element method (CS-FEM)
  • finite element method (FEM)
  • Numerical methods
  • polygonal element

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Computational Mathematics

Cite this

Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM). / Nguyen-Thoi, T.; Phung-Van, P.; Rabczuk, Timon; Nguyen-Xuan, H.; Le-Van, C.

In: International Journal of Computational Methods, Vol. 10, No. 1, 13400082, 01.02.2013.

Research output: Contribution to journalArticle

Nguyen-Thoi, T. ; Phung-Van, P. ; Rabczuk, Timon ; Nguyen-Xuan, H. ; Le-Van, C. / Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM). In: International Journal of Computational Methods. 2013 ; Vol. 10, No. 1.
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