A hybrid subspace analysis procedure for non-linear postbuckling calculation

被引：8

作者：

Kling, A ^{[1
]}

Degenhardt, R ^{[1
]}

Zimmermann, R ^{[1
]}

机构：

[1] DLR, Inst Composite Struct & Adapt Syst, D-38108 Braunschweig, Germany

来源：

COMPOSITE STRUCTURES | 2006年 / 73卷 / 02期

关键词：

non-linear analysis; buckling; postbuckling; hybrid subspace analysis procedure;

D O I：

10.1016/j.compstruct.2005.11.051

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A finite element based hybrid subspace analysis procedure to predict the non-linear behaviour of statically loaded structures is presented. The basic idea is to reduce the total number of degrees of freedom significantly, utilizing global shape functions like buckling modes and path derivatives in a so-called Rayleigh-Ritz approach. The transformation from the full into the reduced system and vice versa as well as the calculation of the global shape functions is detailed. The presented flow-chart of the computational procedure has been implemented in a finite element environment. Numerical examples provide an insight into the potential of the approach to solve accurately and efficiently non-linear problems within the design phase. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：162 / 170

页数：9

共 12 条

[1] AUTOMATIC CHOICE OF GLOBAL SHAPE FUNCTIONS IN STRUCTURAL-ANALYSIS [J].

ALMROTH, BO ;

STERN, P ;

BROGAN, FA .

AIAA JOURNAL, 1978, 16 (05) :525-528

[2] BUCKLING OF STIFFENED IMPERFECT CYLINDRICAL-SHELLS [J].

ARBOCZ, J ;

SECHLER, EE .

AIAA JOURNAL, 1976, 14 (11) :1611-1617

[3] SOLUTION TECHNIQUES FOR NONLINEAR FINITE-ELEMENT PROBLEMS [J].

BERGAN, PG ;

HORRIGMOE, G ;

KRAKELAND, B ;

SOREIDE, TH .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1978, 12 (11) :1677-1696

[4]

Bergan PG, 1978, FINITE ELEMENTS NONL, P647

[5] NONLINEAR-ANALYSIS USING A REDUCED NUMBER OF VARIABLES [J].

CHAN, ASL ;

HSIAO, KM .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1985, 52 (1-3) :899-913

[6]

Crisfield MA., 1997, NON LINEAR FINITE EL, V2

[7]

CRISFIELD MA, 1996, NON LINEAR FINITE EL, V1

[8]

FUNG YC, 1975, THIN SHELL STRUCTURE

[9] GEOMETRICALLY NON-LINEAR FINITE-ELEMENT BEHAVIOR USING BUCKLING MODE SUPERPOSITION [J].

NAGY, DA ;

KONIG, M .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1979, 19 (03) :447-484

[10] REDUCED BASIS TECHNIQUE FOR NON-LINEAR ANALYSIS OF STRUCTURES [J].

NOOR, AK ;

PETERS, JM .

AIAA JOURNAL, 1980, 18 (04) :455-462

← 1 2 →