FREE AND FORCED VIBRATION ANALYSIS USING THE n-SIDED POLYGONAL CELL-BASED SMOOTHED FINITE ELEMENT METHOD (nCS-FEM)

被引：70

作者：

Nguyen-Thoi, T. ^{[1
,2
]}

Phung-Van, P. ^{[2
]}

Rabczuk, T. ^{[3
]}

Nguyen-Xuan, H. ^{[1
,2
]}

Le-Van, C. ^{[4
]}

机构：

[1] Univ Sci, Fac Math & Comp Sci, Dept Mech, VNU HCM, Ho Chi Minh City, Vietnam

[2] Ton Duc Thang Univ, Div Computat Mech, Ho Chi Minh City, Vietnam

[3] Bauhaus Univ Weimar, Inst Struct Mech, D-99423 Weimar, Germany

[4] Int Univ, VNU HCM, Dept Civil Engn, Ho Chi Minh City, Vietnam

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2013年 / 10卷 / 01期

关键词：

Numerical methods; finite element method (FEM); cell-based smoothed finite element method (CS-FEM); polygonal element; n-sided polygonal cell-based smoothed finite element method (nCS-FEM); SOLID MECHANICS PROBLEMS; UPPER BOUND SOLUTIONS; MESH-FREE METHODS; METHOD FS-FEM; METHOD SFEM; TETRAHEDRAL ELEMENTS; PARTICLE METHODS; 3D;

D O I：

10.1142/S0219876213400082

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页数：19

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