Numerical implementation of geometrically nonlinear finite element method for beam structures

被引:0
作者
Chen, Zheng-Qing [1 ]
机构
[1] College of Civil Engineering, Hunan University
来源
Gongcheng Lixue/Engineering Mechanics | 2014年 / 31卷 / 06期
关键词
Beam structures; Finite element method; Geometric nonlinear; Incremental method; Nonlinear analysis;
D O I
10.6052/j.issn.1000-4750.2013.05.ST08
中图分类号
O24 [计算数学];
学科分类号
070102 ;
摘要
The geometrically nonlinear finite element method for beam structures consists of two parts: the development of virtual work equations and the corresponding numerical implementation. In this study, the solution procedure of the geometrically nonlinear finite element analysis using the Updated Lagrangian (UL) incremental approach for beam structures and three-dimensional continuum is presented, and major differences in the solution process are identified. Particularly, emphasis has been placed on the importance and the methodology of determining internal forces at the end of each load step.
引用
收藏
页码:42 / 52
页数:10
相关论文
共 12 条
[1]  
Bathe K.J., Bolourchi S., Large displacement analysis of three-dimensional beam structures, International Journal for Numerical Methods in Engineering, 14, 7, pp. 961-986, (1979)
[2]  
Chen Z., Zeng Q., Yan Q., A UL formulation for internal force analysis of special frame structures with large displacement, China Civil Engineering Journal, 25, 5, pp. 34-44, (1992)
[3]  
Chen Z.Q., Agar T.J.A., Geometric nonlinear analysis of flexible spatial beam structures, Computers & structures, 49, 6, pp. 1083-1094, (1993)
[4]  
Yang M., Chen Z., Nonlinear analysis of cable structure using a two-node curved cable element of high precision, Engineering Mechanics, 20, 1, pp. 42-47, (2003)
[5]  
Yang M., Chen Z., Two-node centenary element for the analysis of cable structure based on UL formula, China Civil Engineering Journal, 36, 8, pp. 63-67, (2003)
[6]  
Wen R.K., Rahimzadeh J., Nonlinear elastic frame analysis by finite element, Journal of Structural Engineering, 109, 8, pp. 1952-1971, (1983)
[7]  
Yang Y.B., McGuire W., Stiffness matrix for geometric nonlinear analysis, Journal of structural engineering, 112, 4, pp. 853-877, (1986)
[8]  
Spillers W.R., Geometric stiffness matrix for space frames, Computers & structures, 36, 1, pp. 29-37, (1990)
[9]  
Yang Y.B., Kuo S.R., Wu Y.S., Incrementally small-deformation theory for nonlinear analysis of structural frames, Engineering structures, 24, 6, pp. 783-798, (2002)
[10]  
Yang Y.B., Lin S.P., Chen C.S., Rigid body concept for geometric nonlinear analysis of 3D frames, plates and shells based on the updated Lagrangian formulation, Computer methods in applied mechanics and engineering, 196, 7, pp. 1178-1192, (2007)