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
收藏
页数：19
相关论文
共 50 条
  • [41] A cell-based smoothed finite element method for three dimensional solid structures
    Hung Nguyen-Xuan
    Hiep Vinh Nguyen
    Stephane Bordas
    Timon Rabczuk
    Marc Duflot
    KSCE Journal of Civil Engineering, 2012, 16 : 1230 - 1242
  • [42] A cell-based smoothed finite element method for three dimensional solid structures
    Hung Nguyen-Xuan
    Hiep Vinh Nguyen
    Bordas, Stephane
    Rabczuk, Timon
    Duflot, Marc
    KSCE JOURNAL OF CIVIL ENGINEERING, 2012, 16 (07) : 1230 - 1242
  • [43] An n -sided polygonal selective smoothed finite element method for nearly incompressible visco-hyperelastic soft materials
    Wu, Shao-Wei
    Jiang, Chao
    Liu, G. R.
    Wan, De-Tao
    Jiang, Chen
    APPLIED MATHEMATICAL MODELLING, 2022, 107 : 398 - 428
  • [44] Upper bound analysis of seismic stability of tunnels using cell-based smoothed finite element
    Nguyen, H. C.
    GEOTECHNICAL ASPECTS OF UNDERGROUND CONSTRUCTION IN SOFT GROUND, 2021, : 337 - 342
  • [45] Adaptive analysis using the node-based smoothed finite element method (NS-FEM)
    Nguyen-Thoi, T.
    Liu, G. R.
    Nguyen-Xuan, H.
    Nguyen-Tran, C.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, 2011, 27 (02) : 198 - 218
  • [46] Lower Bound of Vibration Modes Using the Node-Based Smoothed Finite Element Method (NS-FEM)
    Liu, Guirong
    Chen, Meng
    Li, Ming
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2017, 14 (04)
  • [47] FREE VIBRATION ANALYSIS OF DOUBLE-WALLED CARBON NANOTUBES USING THE SMOOTHED FINITE ELEMENT METHOD
    Wang, Lifeng
    Han, Dong
    Liu, G. R.
    Cui, Xiangyang
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2011, 8 (04) : 879 - 890
  • [48] A cell-based smoothed finite element method for multi-body contact analysis using linear complementarity formulation
    Yue, Junhong
    Liu, Gui-Rong
    Li, Ming
    Niu, Ruiping
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2018, 141 : 110 - 126
  • [49] An Efficient Cell-Based Smoothed Finite Element Method for Free Vibrations of Magneto-Electro-Elastic Beams
    Zhou, Liming
    Ren, Shuhui
    Cai, Yan
    Li, Feng
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2020, 17 (04)
  • [50] A Modified Smoothed Finite Element Method for Static and Free Vibration Analysis of Solid Mechanics
    Cui, Xiang Yang
    Hu, Xiao Bin
    Li, Guang Yao
    Liu, Gui Rong
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2016, 13 (06)
12345