Variable kinematic beam elements coupled via Arlequin method

被引:39
作者
Biscani, F. [1 ,2 ,3 ]
Giunta, G. [1 ]
Belouettar, S. [1 ]
Carrera, E. [2 ]
Hu, H. [4 ]
机构
[1] Ctr Rech Publ Henri Tudor, L-1855 Luxembourg, Luxembourg
[2] Politecn Torino, I-10129 Turin, Italy
[3] Univ Paris 06, Inst Jean le Rond dAlembert, UMR 7190, CNRS, F-75252 Paris, France
[4] Wuhan Univ, Sch Civil Engn, Wuhan 430072, Peoples R China
基金
中国国家自然科学基金;
关键词
Beam structures; Hierarchical modelling; Arlequin method; TRANSVERSE VIBRATIONS; THICKNESS LOCKING; LAMINATED BEAMS; PLATES; SHEAR;
D O I
10.1016/j.compstruct.2010.08.009
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this work, beam elements based on different kinematic assumptions are combined through the Arlequin method Computational costs are reduced assuming refined models only in those zones with a quasi-three-dimensional stress field Variable kinematics beam elements are formulated on the basis of a unified formulation (UF) This formulation is extended to the Arlequin method to derive matrices related to the coupling zones between high- and low-order kinematic beam theories According to UF a N-order polynomials approximation is assumed on the beam cross-section for the unknown displacements. being N a free parameter of the formulation Several hierarchical finite elements can be formulated Part of the structure can be accurately modelled with computationally cheap low-order elements part calls for computationally demanding high-order elements Slender moderately deep and deep beams are investigated Square and l-shaped cross-sections are accounted for A cross-ply laminated composite beam is considered as well Results are assessed towards Navier-type analytical models and three-dimensional finite element solutions The numerical investigation has shown that Arlequin method in the context of a hierarchical formulation effectively couples sub-domains having different order finite elements without loss of accuracy and reducing the computational cost (C) 2010 Elsevier Ltd All rights reserved
引用
收藏
页码:697 / 708
页数:12
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