Dimensional reduction of surface models for analysis

被引:33
作者
Donaghy, RJ
Armstrong, CG
Price, MA
机构
[1] Queens Univ Belfast, Dept Aeronaut Engn, Belfast BT9 5AG, Antrim, North Ireland
[2] Queens Univ Belfast, Dept Mech & Mfg Engn, Belfast BT9 5AG, Antrim, North Ireland
关键词
dimensional reduction; idealisation; medial axis;
D O I
10.1007/s003660050034
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper describes a set of procedures by which an analyst can idealise slender 2D shell structures for linear static analysis using reduced-dimensional beam finite elements. The first step is the development of the topological operations that are necessary to achieve the desired dimensionally reduced representation. Next, the automatic derivation of necessary geometric and physical properties of the reduced dimensional entities are described, together with the application of appropriate coupling constraints between dimensions. Dimensional reduction of shell models involves finding areas of the geometric model whose dimensions are such that this region may be represented in an analysis model with a 1D beam. Using the medial axis transform, geometric measures are defined for identifying such areas in the geometric model. However, topological features of the model and its medial axis were also identified as significant in the automation of dimensional reduction. The application of the medial axis transform to automatic dimensional reduction is described and example models given.
引用
收藏
页码:24 / 35
页数:12
相关论文
共 16 条
[1]   MODELING REQUIREMENTS FOR FINITE-ELEMENT ANALYSIS [J].
ARMSTRONG, CG .
COMPUTER-AIDED DESIGN, 1994, 26 (07) :573-578
[2]  
Blum H., 1967, Models for the Perception of Speech and Visual Forms, P362, DOI DOI 10.1142/S0218654308001154
[3]  
BRIDGETT SJ, 1997, THESIS QUEENS U BELF
[4]  
DONAGHY RJ, 1998, THESIS QUEENS U BELF
[5]  
GOODIER JN, 1933, T ROY SOC CAN, P65
[6]  
GURSOY HN, 1989, THESIS MIT
[7]  
*HKS INC, 1997, ABAQUS STANDARD USER
[8]  
HOFFMANN CM, 1989, GEOMETRIC SOLID MODE, P41
[9]  
LI TS, 1993, ADV PARALLEL VECTOR, P165
[10]  
MCCURE RW, 2000, IN PRESS INT J NUMER