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.
Bibliographical noteFunding Information:
This work was supported by Vietnam National Foundation for Science & Technology Development (NAFOSTED), Ministry of Science & Technology, under the basic research program (Project No.: 107.02.2010.01).
- 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