A CONSISTENT COROTATIONAL FORMULATION FOR NONLINEAR, 3-DIMENSIONAL, BEAM-ELEMENTS

被引:437
作者
CRISFIELD, MA
机构
[1] Department of Aeronautics, Imperial College of Science and Technology, London
关键词
D O I
10.1016/0045-7825(90)90106-V
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper describes a co-rotational formulation for three-dimensional beams in which both the internal force vector and tangent stiffness matrix are consistently derived from the adopted 'strain measures'. The latter relate to standard beam theory but are embedded in a continuously rotating frame. A set of numerical examples show that the element provides an excellent numerical performance. © 1990.
引用
收藏
页码:131 / 150
页数:20
相关论文
共 31 条
  • [1] AN EXCURSION INTO LARGE ROTATIONS
    ARGYRIS, J
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 32 (1-3) : 85 - &
  • [2] FINITE-ELEMENT METHOD - NATURAL APPROACH
    ARGYRIS, JH
    BALMER, H
    DOLTSINIS, JS
    DUNNE, PC
    HAASE, M
    KLEIBER, M
    MALEJANNAKIS, GA
    MLEJNEK, HP
    MULLER, M
    SCHARPF, DW
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1979, 17-8 (JAN) : 1 - 106
  • [3] BATES DN, 1987, MECHANICS THIN WALLE
  • [4] LARGE DISPLACEMENT ANALYSIS OF 3-DIMENSIONAL BEAM STRUCTURES
    BATHE, KJ
    BOLOURCHI, S
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1979, 14 (07) : 961 - 986
  • [5] LARGE DISPLACEMENT, TRANSIENT ANALYSIS OF SPACE FRAMES
    BELYTSCHKO, T
    SCHWER, L
    KLEIN, MJ
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1977, 11 (01) : 65 - 84
  • [6] APPLICATIONS OF HIGHER-ORDER COROTATIONAL STRETCH THEORIES TO NON-LINEAR FINITE-ELEMENT ANALYSIS
    BELYTSCHKO, T
    GLAUM, LW
    [J]. COMPUTERS & STRUCTURES, 1979, 10 (1-2) : 175 - 182
  • [7] Belytschko T., 1973, International Journal for Numerical Methods in Engineering, V7, P255, DOI 10.1002/nme.1620070304
  • [8] Besseling J. F., 1985, FINITE ELEMENT METHO, P25
  • [9] A BEAM FINITE-ELEMENT NON-LINEAR THEORY WITH FINITE ROTATIONS
    CARDONA, A
    GERADIN, M
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1988, 26 (11) : 2403 - 2438
  • [10] COLE G, 1990, THESIS KINGSTON POLY