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

[41] A SIMPLE TOTAL-LAGRANGIAN FINITE-ELEMENT FORMULATION FOR NONLINEAR BEHAVIOR OF PLANAR BEAMS [J].

Babilio, Enrico ;

Lenci, Stefano .

PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2018, VOL 6, 2018,

[42] A consistent co-rotational finite element formulation for geometrically nonlinear dynamic analysis of 3-D beams [J].

Hsiao, KM ;

Lin, JY ;

Lin, WY .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 169 (1-2) :1-18

[43] Consistent co-rotational finite element formulation for geometrically nonlinear dynamic analysis of 3-D beams [J].

Natl Chiao Tung Univ, Hsinchu, Taiwan .

Comput Methods Appl Mech Eng, 1-2 (1-18)

[44] INFLUENCE OF THE ORDER OF POLYNOMIAL ON THE CONVERGENCE IN RITZ FINITE-ELEMENT FORMULATION TO NONLINEAR VIBRATIONS OF BEAMS [J].

SARMA, BS ;

PRATHAP, G ;

VARADAN, TK .

COMPUTERS & STRUCTURES, 1984, 18 (04) :667-671

[45] Geometrically nonlinear analysis using a corotational triangular thick and thin shell element [J].

Wang, Zhen ;

Sun, Qin .

Gongcheng Lixue/Engineering Mechanics, 2014, 31 (05) :27-33

[46] A Corotational Formulation Based on Hamilton's Principle for Geometrically Nonlinear Thin and Thick Planar Beams and Frames [J].

Elkaranshawy, Hesham A. ;

Elerian, Ahmed A. H. ;

Hussien, Walied, I .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018

[47] Geometric approximation for adaptive geometrically nonlinear finite-element computations [J].

Hesse, T ;

Schweizerhof, K .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1997, 77 :S125-S126

[48] GEOMETRICALLY NONLINEAR VIBRATION OF SPINNING STRUCTURES BY FINITE-ELEMENT METHOD [J].

LEUNG, AYT ;

FUNG, TC .

JOURNAL OF SOUND AND VIBRATION, 1990, 139 (01) :43-62

[49] Efficient finite difference formulation of a geometrically nonlinear beam element [J].

Jirasek, Milan ;

Ribolla, Emma La Malfa ;

Horak, Martin .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 122 (23) :7013-7053

[50] FINITE-ELEMENT FORMULATION FOR THERMAL-STRESS ANALYSIS .2. FINITE-ELEMENT FORMULATION [J].

KERAMIDAS, GA ;

TING, EC .

NUCLEAR ENGINEERING AND DESIGN, 1976, 39 (2-3) :277-287

← 1 2 3 4 5 →