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

T. Nguyen-Thoi, P. Phung-Van, T. 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

Keywords

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

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Computational Mathematics

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