几何材料非线性分析的新空间梁柱单元

张俊峰; 郝际平; 王连坤

doi:10.11835/j.issn.1674-4764.2009.03.007

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几何材料非线性分析的新空间梁柱单元

更新时间：2023-11-28

- 几何材料非线性分析的新空间梁柱单元
- A New BeamColumn Element of Space Framed Structures for Nonlinear Analysis of Geometric Material
- 土木与环境工程学报（中英文） 2009年31卷第3期页码：29-33
- 作者机构：
  
  1. 郑州大学土木工程学院,郑州,450001
  3. 西安建筑科技大学土木工程学院,西安,710055
- 作者简介：
- 基金信息：
  
  国家自然科学基金资助项目（50378078）
- DOI：10.11835/j.issn.1674-4764.2009.03.007
  中图分类号：
- 纸质出版：2009
- 稿件说明：
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张俊峰, 郝际平, 王连坤. 几何材料非线性分析的新空间梁柱单元[J]. 土木与环境工程学报（中英文）, 2009,31(3):29-33.

ZHANG Junfeng, HAO Jiping, WANG Liankun. A New BeamColumn Element of Space Framed Structures for Nonlinear Analysis of Geometric Material[J]. Journal of Civil and Environmental Engineering, 2009, 31(3): 29-33.
张俊峰, 郝际平, 王连坤. 几何材料非线性分析的新空间梁柱单元[J]. 土木与环境工程学报（中英文）, 2009,31(3):29-33. DOI： 10.11835/j.issn.1674-4764.2009.03.007.

ZHANG Junfeng, HAO Jiping, WANG Liankun. A New BeamColumn Element of Space Framed Structures for Nonlinear Analysis of Geometric Material[J]. Journal of Civil and Environmental Engineering, 2009, 31(3): 29-33. DOI： 10.11835/j.issn.1674-4764.2009.03.007.

摘要

给出了基于UL法的三维梁柱单元虚功增量方程，首次详细推导了同时考虑翘曲和剪切变形以及力矩空间转动影响的三维空间薄壁梁柱单元的几何非线性切线刚度矩阵；材料非线性通过在单元端部形成塑性铰来考虑，对Orbison截面塑性面进行了修正，以考虑扭矩和翘曲对截面强度的影响，采用塑性流动法则推导了单元端部进入塑性时的单元弹塑性切线刚度矩阵。算例表明，只需要一到两个单元就可以准确预测空间钢框架的极限承载力和失稳模态，有效考虑剪切变形及翘曲对结构的影响。

Abstract

An incremental virtual work equation of threedimensional(3D) beamcolumn element is proposed based on the UL method. The geometric nonlinear tangent stiffness matrix for 3D beamcolumn element is deduced with the consideration of warping

shear deformation and effects of moment spatial rotation. Material nonlinearity is addressed by introducing plastic hinges at the element ends. And the Orbison sectional strength is modified in order to consider the effects of torsion moment and warping. The elasticplastic tangent stiffness matrix is acquired as the element ends are in plastic phase based on the flow theory. With a case studied

it is shown that the model can be used to predict accurately the ultimate bearing capacity and instability mode of 3Dspace frames by only one or two elements

and address the effects of warping and shear deformations effectively.

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