Finite rotations in non-linear analysis of elastic shells

被引：6

作者：

Wang, L ^{[1
]}

Thierauf, G ^{[1
]}

机构：

[1] Univ Essen Gesamthsch, Dept Civil Engn, D-45117 Essen, Germany

来源：

COMPUTERS & STRUCTURES | 2001年 / 79卷 / 26-28期

关键词：

shell structures; finite rotations; finite elements;

D O I：

10.1016/S0045-7949(01)00068-2

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper two modifications for the finite rotation formulation and for the rotation update procedure are proposed, both avoid the singularity of the rotation matrix and improve the convergence of non-linear finite element computations considerably. Compared with the reference results, the effectiveness of these modifications is demonstrated by numerical examples, (C) 2001 Civil-Comp Ltd. and Elsevier Science Ltd. All rights reserved.

引用

页码：2357 / 2367

页数：11

共 26 条

[1]

[Anonymous], 1985, GRUNDLAGEN INGENIEUR, DOI DOI 10.1007/978-3-322-93983-8

[2] LARGE ROTATIONS REVISITED APPLICATION OF LIE-ALGEBRA [J].

ARGYRIS, J ;

POTERASU, VF .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 103 (1-2) :11-42

[3] AN EXCURSION INTO LARGE ROTATIONS [J].

ARGYRIS, J .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 32 (1-3) :85-&

[4] FINITE-ROTATION ELEMENTS FOR THE NON-LINEAR ANALYSIS OF THIN SHELL STRUCTURES [J].

BASAR, Y ;

DING, YH .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1990, 26 (01) :83-97

[5] REFINED SHEAR-DEFORMATION MODELS FOR COMPOSITE LAMINATES WITH FINITE ROTATIONS [J].

BASAR, Y ;

DING, YH ;

SCHULTZ, R .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1993, 30 (19) :2611-2638

[6] VECTOR ANALYSIS OF FINITE RIGID ROTATIONS [J].

BEATTY, MF .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1977, 44 (03) :501-502

[7] STRESS PROJECTION FOR MEMBRANE AND SHEAR LOCKING IN SHELL FINITE-ELEMENTS [J].

BELYTSCHKO, T ;

STOLARSKI, H ;

LIU, WK ;

CARPENTER, N ;

ONG, JSJ .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1985, 51 (1-3) :221-258

[8] On the parametrization of finite rotations in computational mechanics - A classification of concepts with application to smooth shells [J].

Betsch, P ;

Menzel, A ;

Stein, E .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 155 (3-4) :273-305

[9]

Buchter N, 1992, INT J NUMER METH ENG, V34, P39

[10]

DING Y, 1989, THESIS RUHR U BOCHUM

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