三维退化纤维梁单元线性和非线性有限元分析

康澜; 张其林

doi:10.11835/j.issn.1674-4764.2009.02.002

您当前的位置：

首页 >

文章列表页 >

三维退化纤维梁单元线性和非线性有限元分析

更新时间：2023-11-28

- 三维退化纤维梁单元线性和非线性有限元分析
- Linear and Nonlinear Finite Element Analysis of a Degenerated 3D Beam Element
- 土木与环境工程学报（中英文） 2009年31卷第2期页码：3-7
- 作者机构：
  
  同济大学土木工程学院建筑工程系,上海,200092
- 作者简介：
- 基金信息：
  
  世博轴超大跨度索膜及单层复杂壳体结构专项技术研究(08dz0580303)
- DOI：10.11835/j.issn.1674-4764.2009.02.002
  中图分类号：
- 纸质出版：2009
- 稿件说明：
移动端阅览
康澜, 张其林. 三维退化纤维梁单元线性和非线性有限元分析[J]. 土木与环境工程学报（中英文）, 2009,31(2):3-7.

KANG Lan, ZHANG Qilin. Linear and Nonlinear Finite Element Analysis of a Degenerated 3D Beam Element[J]. Journal of Civil and Environmental Engineering, 2009, 31(2): 3-7.
康澜, 张其林. 三维退化纤维梁单元线性和非线性有限元分析[J]. 土木与环境工程学报（中英文）, 2009,31(2):3-7. DOI： 10.11835/j.issn.1674-4764.2009.02.002.

KANG Lan, ZHANG Qilin. Linear and Nonlinear Finite Element Analysis of a Degenerated 3D Beam Element[J]. Journal of Civil and Environmental Engineering, 2009, 31(2): 3-7. DOI： 10.11835/j.issn.1674-4764.2009.02.002.

摘要

为了解决曲线梁、任意形状截面梁、以及复合材料梁等结构的计算问题，基于退化理论推导得到三维退化纤维梁单元。该单元采用平截面基本假设，考虑剪切变形的影响，用轴线节点位移表示梁单元任意一点的三维位移场。根据UL列式，推导得到该单元考虑几何非线性和材料非线性的切线刚度矩阵。由上述理论编制了有限元计算程序，通过对几个典型算例的分析，证明了这种纤维退化梁单元的精确性、高效性和通用性。

Abstract

In order to solve the calculation problems of the curved beam

an arbitrary crosssection beam and composite beam

a degenerated 3D fiber beam element is derived based on the degenerated theory. According to the basic assumption of plane section

the 3D displacement field equations of an arbitrary point are discretized in terms of nodal displacements

which take account of shear deformation effect. Furthermore

the tangent stiffness matrix formulation

which takes geometric and material nonlinearity into account

is deduced using Update Lagrange formulation. A finite element method program has been developed

and several typical examples are tested to demonstrate the effectiveness

accuracy and versatility of this beam element.

关键词

Keywords

references

浏览量

1084

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

暂无数据