Shape Functions and Mesh Density Effect in Geometric Nonlinear Finite Element Analysis of Beam Structures

被引:0
|
作者
Veghova, Ivana [1 ]
Psotny, Martin [1 ]
机构
[1] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Struct Mech, Radlinskeho 11, Bratislava 81005, Slovakia
关键词
D O I
10.1063/1.5114123
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Geometric nonlinear solution of beam structures is presented. Basic assumptions are specified and incremental conditional equations are derived. Newton-Raphson iteration is used. Two finite element approaches are analysed in presented paper. The importance of nonlinear terms in geometric equation and their effect upon the result of the solution is the basis of this contribution. The solved examples of selected structures are presented and different approaches to the solution are compared.
引用
收藏
页数:4
相关论文
共 50 条
  • [21] Comparison of Reduction Methods for Finite Element Geometrically Nonlinear Beam Structures
    Shen, Yichang
    Vizzaccaro, Alessandra
    Kesmia, Nassim
    Yu, Ting
    Salles, Loic
    Thomas, Olivier
    Touze, Cyril
    VIBRATION, 2021, 4 (01): : 175 - 204
  • [22] Numerical implementation of geometrically nonlinear finite element method for beam structures
    Chen, Zheng-Qing
    Gongcheng Lixue/Engineering Mechanics, 2014, 31 (06): : 42 - 52
  • [23] NONLINEAR FINITE-ELEMENT ANALYSIS OF CONCRETE STRUCTURES
    ZHANG, YG
    LU, MW
    HWANG, KC
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1993, 44 (03): : 537 - 555
  • [24] FINITE-ELEMENT NONLINEAR ANALYSIS OF CONCRETE STRUCTURES
    PHILLIPS, DV
    ZIENKIEWICZ, OC
    DAVIDSON, I
    BANGASH, Y
    PROCEEDINGS OF THE INSTITUTION OF CIVIL ENGINEERS PART 2-RESEARCH AND THEORY, 1976, 61 (DEC): : 829 - 840
  • [25] FINITE-ELEMENT NONLINEAR ANALYSIS OF CONCRETE STRUCTURES
    PHILLIPS, DV
    ZIENKIEWICZ, OC
    PROCEEDINGS OF THE INSTITUTION OF CIVIL ENGINEERS PART 2-RESEARCH AND THEORY, 1976, 61 (MAR): : 59 - 88
  • [26] Nonlinear finite element analysis of prestressed concrete structures
    Wu, Xiaohan
    Jianzhu Jiegou Xuebao/Journal of Building Structures, 2007, 28 (04): : 83 - 89
  • [27] Strategies for the finite element analysis of nonlinear composite structures
    Wagner, W
    Gruttmann, F
    IUTAM SYMPOSIUM ON DISCRETIZATION METHODS IN STRUCTURAL MECHANICS, 1999, 68 : 281 - 289
  • [28] GEOMETRIC NONLINEAR-ANALYSIS OF FLEXIBLE SPATIAL BEAM STRUCTURES
    CHEN, ZQ
    AGAR, TJA
    COMPUTERS & STRUCTURES, 1993, 49 (06) : 1083 - 1094
  • [29] Exact shape functions of imperfect beam element for stability analysis
    Adman, R.
    Afra, H.
    ADVANCES IN ENGINEERING SOFTWARE, 2007, 38 (8-9) : 576 - 585
  • [30] PRACTICAL FINITE ELEMENT PROCEDURE FOR ACHIEVING MESH OBJECTIVITY IN LOCAL BUCKLING ANALYSIS OF STEEL STRUCTURES BY BEAM ELEMENTS
    Yamaguchi, Eiki
    ADVANCED STEEL CONSTRUCTION, 2009, 5 (03): : 224 - 236