[1]张俊峰,郝际平,李天..几何材料非线性的新梁柱单元及程序编制[J].郑州大学学报(工学版),2010,31(03):65-69.[doi:10.3969/j.issn.1671-6833.2010.03.017]
　ZHANG Junfeng,HAO Jiping,Li Tian.New beam-column elements and programming of nonlinear geometric materials[J].Journal of Zhengzhou University (Engineering Science),2010,31(03):65-69.[doi:10.3969/j.issn.1671-6833.2010.03.017]

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几何材料非线性的新梁柱单元及程序编制()

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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

31卷

期数:

2010年03期

页码:

65-69

栏目:

出版日期:

2010-03-01

文章信息/Info

Title:

New beam-column elements and programming of nonlinear geometric materials

作者:

张俊峰; 郝际平; 李天.

郑州大学,土木工程学院,河南,郑州,450001, 西安建筑科技大学,土木工程学院,陕西,西安,710055

Author(s):

ZHANG Junfeng; HAO Jiping; Li Tian

关键词:

空间钢框架;  翘曲;  剪切变形;  塑性铰;  极限承载力;  面向对象程序设计

Keywords:

Space steel frame;  warping;  shear deformation;  Plastic hinges;  ultimate bearing capacity;  Object-oriented programming

DOI:

10.3969/j.issn.1671-6833.2010.03.017

文献标志码:

A

摘要:

给出了基于UL法的三维粱柱单元虚功增量方程,详细推导了考虑翘曲和剪切变形影响的三维空间梁柱单元的几何非线性切线刚度矩阵,同时对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弹塑性切线刚度矩阵.根据面向对象的程序设计思想,将整个有限元域划分为8个基本类,在单元基类的基础上派生了新的单元类,采用C++语言编制了面向对象的空间钢框架分析程序.算例证明,只需要一到两个单元就可以准确预测空闻钢框架的极限承载力和失稳模态.

Abstract:

The virtual work increment equation of three-dimensional sorghum column element based on UL method is given, the geometric nonlinear tangent stiffness matrix of three-dimensional space beam column element considering the effects of warpage and shear deformation is derived in detail, and the plastic surface of Orbison section is modified to consider the influence of torque and warpage on section strength, and the elastic-plastic tangent stiffness matrix of the element is derived by plastic flow method. According to the object-oriented programming idea, the entire finite element domain is divided into 8 basic classes, a new unit class is derived on the basis of the unit base class, and the object-oriented space steel frame analysis program is compiled in C++ language. The example proves that only one or two units are needed to accurately predict the ultimate bearing capacity and instability mode of the empty steel frame.

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