Nonlinear performance of continuum mechanics based beam elements focusing on large twisting behaviors

被引:26
作者
Yoon, Kyungho [1 ]
Lee, Phill-Seung [1 ]
机构
[1] Korea Adv Inst Sci & Technol, Div Ocean Syst Engn, Taejon 305701, South Korea
基金
新加坡国家研究基金会;
关键词
Nonlinear analysis; Finite element method; Beam element; Large twisting; Warping; Lateral buckling; LARGE-DEFORMATION ANALYSIS; SHELL FINITE-ELEMENT; ROD MODEL; COROTATIONAL FORMULATION; WARPING DISPLACEMENTS; CROSS-SECTION; TORSION; IMPLEMENTATION; INTERPOLATION; ROTATIONS;
D O I
10.1016/j.cma.2014.07.023
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we present the nonlinear formulation and performance of continuum mechanics based beam elements, in which fully coupled 3D behaviors of stretching, bending, shearing, twisting, and warping are automatically considered. The beam elements are directly degenerated from assemblages of 3D solid elements under the assumptions of Timoshenko beam theory. Therefore, cross-sectional discretization is possible and the elements can model complicated 3D beam geometries including curved and twisted geometries, varying cross-sections, eccentricities, and arbitrary cross-sectional shapes In particular, the proposed nonlinear formulation can accurately predict large twisting behaviors coupled with stretching, bending, shearing, and warping. Through various numerical examples, we demonstrate the geometric (and material) nonlinear performance of the continuum mechanics based beam elements. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:106 / 130
页数:25
相关论文
共 52 条
[1]  
ADINA R&D, 2013, ADINA THEOR MOD GUID
[2]  
Andeson J.M., 1972, J STRUCT DIV ASCE, V98, P2647
[3]  
[Anonymous], 1970, Theory of elasticity (3rd Edition)
[4]  
ANSYS Inc, 2012, THEOR REF LARG DEF A
[5]   AN EXCURSION INTO LARGE ROTATIONS [J].
ARGYRIS, J .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 32 (1-3) :85-&
[6]   LARGE DISPLACEMENT SMALL STRAIN ANALYSIS OF STRUCTURES WITH ROTATIONAL DEGREES OF FREEDOM [J].
ARGYRIS, JH ;
DUNNE, PC ;
SCHARPF, DW .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1978, 14 (03) :401-451
[7]  
Basaglia C., 2007, J CONSTR STEEL RES, V63, P709
[8]   Post-buckling analysis of thin-walled steel frames using generalised beam theory (GBT) [J].
Basaglia, Cilmar ;
Camotim, Dinar ;
Silvestre, Nuno .
THIN-WALLED STRUCTURES, 2013, 62 :229-242
[9]  
Bathe K.-J., 2006, FINITE ELEMENT PROCE
[10]   LARGE DISPLACEMENT ANALYSIS OF 3-DIMENSIONAL BEAM STRUCTURES [J].
BATHE, KJ ;
BOLOURCHI, S .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1979, 14 (07) :961-986