摘要
针对目前在国内外引起广泛关注的大跨度索穹顶结构建议了一种五节点曲线索单元有限元法，利用四次多项式作为位移插值函数，由应变的定义建立了可以考虑任意高阶位移影响的非线性应变几何关系，从非线性弹性理论出发并基于Ｌａｅｒａｎｓｉａｎ坐标推导了有限元基本方程，进行了实例计算．结果表明，文中方法精度极高，适合于分析设计大跨度索网、索穹顶及拉线塔等结构时采用和参考．
A finite element method with five-node cable element for the nonlinear analysis of long-span spatial cable domes which was playing a great role in structural engineering was presented in this paper. The polynomial of degree four was used as the displacement functions. By means of the definition of Lagrangian strain, the nonlinear geometrical expression of which was set up, as a result, the effect of displacement with the terms of any high orders can be considered. In terms of the nonlinear theory elastically and using the Lagrangian method, the authors derived the finite element formulation, and used this model to compute the cable styuctures, the results of which showed very well, and could meet the need of the engineering. Method presented in this paper can be applied in the analysis of long- span structures, such as: cable structures, cable domes, cable stayed towers and so forth.
出处
《同济大学学报（自然科学版）》
EI
CAS
CSCD
1996年第1期6-10,共5页
Journal of Tongji University:Natural Science
基金
国家自然科学基金
关键词
索穹顶结构
非线性
有限元法
Cable dome
Nonlinear
Finite element method
