空间框架结构几何非线性分析方法的改进研究

李文雄; 马海涛; 陈太聪

doi:10.6052/0459-1879-13-018

空间框架结构几何非线性分析方法的改进研究

doi: 10.6052/0459-1879-13-018

1.
华南理工大学土木与交通学院亚热带建筑科学国家重点实验室, 广州 510640
2. 华南农业大学水利与土木工程学院, 广州 510642

基金项目: 亚热带建筑科学国家重点实验室自主研究课题(2010ZA03, 2013ZC22)和广西科学研究与技术开发计划(1298011-1)资助项目.

详细信息

通讯作者:
马海涛，教授，主要研究方向：有限元理论与应用，结构分析与优化方法。E-mail：maht@scut.edu.cn

中图分类号: O343.2
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- 被引次数: 0
出版历程
- 收稿日期: 2013-01-21
- 修回日期: 2013-03-29
- 刊出日期: 2013-11-18

IMPROVEMENTS OF GEOMETRICALLY NONLINEAR ANALYSIS ALGORITHMS FOR SPATIAL FRAME STRUCTURES

1.
State Key Laboratory of Subtropical Building Science, School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China
2. College of Water Conservancy and Civil Engineering, South China Agricultural University, Guangzhou 510642, China

Funds: The project was supported by the State Key Laboratory of Subtropical Building Science (2010ZA03, 2013ZC22) and Guangxi Scientific and Technical Development Plan (1298011-1).

摘要

摘要: 以几何精确梁理论为基础，分别采用高阶拉格朗日插值和埃米特插值构造高精度空间梁单元。提出基于单元层次平衡迭代的自由度凝聚方法，以保证单元的通用性。实现了基于载荷控制或柱面弧长控制的结构几何非线性分析算法。算例研究结果表明，提出的改进方法不但提高了计算效率，而且还具有较高的数值稳定性；特别是基于三次埃米特插值构造的单元表现出较好的性态，适用于结构屈曲后分析。
- 非线性分析 /
- 有限元 /
- 几何精确梁 /
- 有限转动 /
- 埃米特插值 /
- 内部自由度
Abstract: Two spatial beam elements based on the geometrically exact beam theory are developed using high order Lagrange interpolation and Hermite interpolation. An element-level equilibrium iteration procedure is proposed for condensing out internal degrees of freedom, enhancing the applicability of the elements to general-purposed finite element software. A geometrically nonlinear analysis algorithm with both load control and cylindrical arc-length control is developed for spatial frame structures. The presented results of numerical examples show that the proposed approach is effective both to increase the computational efficiency and to achieve better numerical stability. Especially, the proposed element based on the Hermite cubic interpolation performs better in the numerical tests and is therefore well suited for the post-buckling analysis of frame structures.
- nonlinear analysis /
- finite element method /
- geometrically exact beam /
- finite rotation /
- hermite interpolation /
- internal degree of freedom

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参考文献(27)

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