TY - JOUR
T1 - Motion analysis of 3D membrane structures by a vector form intrinsic finite element
AU - Wu, Tong Yue
AU - Wang, Chung Yue
AU - Chuang, Ching Chiang
AU - Ting, Edward C.
PY - 2007
Y1 - 2007
N2 - In this paper, a constant strain triangular membrane element, which is a new member of the VFIFE (vector form intrinsic finite element) family, is proposed to analyze space motion of arbitrary 3D membrane structures. A description of kinematics to dissect rigid body and deformation displacements, and a set of deformation coordinates for each time increment to describe deformation and internal nodal forces are provided. Similar to other members of the VFIFE family, a convected material frame and explicit time integration for the solution procedures are also adopted. Five numerical examples are presented to demonstrate the performance and applicability of the proposed element on the motion analysis of 3D membrane structures. It was found that the proposed element could go through the patch tests and gives stable, convergent and accurate results.
AB - In this paper, a constant strain triangular membrane element, which is a new member of the VFIFE (vector form intrinsic finite element) family, is proposed to analyze space motion of arbitrary 3D membrane structures. A description of kinematics to dissect rigid body and deformation displacements, and a set of deformation coordinates for each time increment to describe deformation and internal nodal forces are provided. Similar to other members of the VFIFE family, a convected material frame and explicit time integration for the solution procedures are also adopted. Five numerical examples are presented to demonstrate the performance and applicability of the proposed element on the motion analysis of 3D membrane structures. It was found that the proposed element could go through the patch tests and gives stable, convergent and accurate results.
KW - Finite element
KW - Membrane structure
KW - Motion analysis
UR - http://www.scopus.com/inward/record.url?scp=34948862255&partnerID=8YFLogxK
U2 - 10.1080/02533839.2007.9671324
DO - 10.1080/02533839.2007.9671324
M3 - 期刊論文
AN - SCOPUS:34948862255
VL - 30
SP - 961
EP - 976
JO - Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
JF - Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
SN - 0253-3839
IS - 6
ER -