A COROTATIONAL FORMULATION FOR GEOMETRICALLY NONLINEAR FINITE-ELEMENT ANALYSIS OF SPATIAL BEAMS

被引：0

作者：

JIANG, L

CHERNUKA, MW

机构：

来源：

TRANSACTIONS OF THE CANADIAN SOCIETY FOR MECHANICAL ENGINEERING | 1994年 / 18卷 / 01期

关键词：

D O I：

暂无

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

co-rotational procedure is presented in this paper for handling arbitrarily large three-dimensional rotations associated with geometrically nonlinear analysis of spatial beam structures. This procedure has been incorporated into two commonly used 3-D beam elements, the 2-node cubic beam element and the 3-node superparametric beam element, in our in-house general purpose finite element program, VAST. In the present procedure, the element tangent stiffness matrices are generated by using the standard updated Lagrangian formulation, while a co-rotational formulation is employed to update the internal force vectors during the Newton-Raphson iterations. A number of example problems have been analyzed and the result are in good agreement with analytical or published numerical solutions.

引用

页码：65 / 88

页数：24

共 50 条

[31] NONLINEAR FINITE-ELEMENT FORMULATION FOR THE LARGE DISPLACEMENT ANALYSIS OF PLATES [J].

CHANG, B ;

SHABANA, AA .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1990, 57 (03) :707-718

[32] FORMULATION OF A NONLINEAR COMPATIBLE FINITE-ELEMENT FOR THE ANALYSIS OF LAMINATED COMPOSITES [J].

PALAZOTTO, AN ;

WITT, WP .

COMPUTERS & STRUCTURES, 1985, 21 (06) :1213-1234

[33] A FINITE-ELEMENT FORMULATION FOR NONLINEAR INCOMPRESSIBLE ELASTIC AND INELASTIC ANALYSIS [J].

SUSSMAN, T ;

BATHE, KJ .

COMPUTERS & STRUCTURES, 1987, 26 (1-2) :357-409

[34] NONLINEAR STATIC AND TRANSIENT FINITE-ELEMENT ANALYSIS OF LAMINATED BEAMS [J].

OBST, AW ;

KAPANIA, RK .

COMPOSITES ENGINEERING, 1992, 2 (5-7) :375-389

[35] COROTATIONAL FINITE-ELEMENT ANALYSIS OF PLANAR FLEXIBLE MULTIBODY SYSTEMS [J].

ELKARANSHAWY, HA ;

DOKAINISH, MA .

COMPUTERS & STRUCTURES, 1995, 54 (05) :881-890

[36] ADAPTIVE FINITE-ELEMENT ANALYSIS OF GEOMETRICALLY NONLINEAR PLATES AND SHELLS, ESPECIALLY BUCKLING [J].

STEIN, E ;

SEIFERT, B ;

OHNIMUS, S ;

CARSTENSEN, C .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (15) :2631-2655

[37] MIXED FORMULATION OF NONLINEAR BEAM FINITE-ELEMENT [J].

SPACONE, E ;

CIAMPI, V ;

FILIPPOU, FC .

COMPUTERS & STRUCTURES, 1996, 58 (01) :71-83

[38] VECTOR ALGORITHMS FOR GEOMETRICALLY NONLINEAR-3D FINITE-ELEMENT ANALYSIS [J].

WHITCOMB, JD .

COMPUTERS & STRUCTURES, 1989, 33 (04) :1073-1083

[39] FINITE-ELEMENT NONLINEAR RANDOM RESPONSE OF BEAMS [J].

LOCKE, JE .

JOURNAL OF SOUND AND VIBRATION, 1994, 178 (02) :201-210

[40] Corotational Finite Element Formulation for Static Nonlinear Analyses with Enriched Beam Elements [J].

Macquart, T. ;

Scott, S. ;

Greaves, P. ;

Weaver, P. M. ;

Pirrera, A. .

AIAA JOURNAL, 2020, 58 (05) :2276-2292

← 1 2 3 4 5 →