摘要
根据弹性悬链线的理论解析解推导出适用于索结构有限元分析的空间悬链线单元,得到了两节点索单元的切线刚度矩阵和索端张力的精确表达式。采用索单元等效节点荷载的全量算法,通过Newdon-rapson双重迭代法实现非线性问题的求解。所提出的基于空间悬链线单元的半解析非线性有限元分析方法可充分考虑几何非线性的影响,实现对任意方向空间荷载下索的初始位形和内力分析。算例表明,该计算方法精确有效。
According to the elastic catenary theory,this paper derives the spatial catenary cable element from the exact analytical expression,which is used for finite element analysis of the structure. It deduces the precise expression of two-node cable element tangent stiffness matrix and the tension of cable end. The equivalent node load of cable element is expressed by the total load algorithm,and the non-linear equation is solved by double Newdon-rapson method. The proposed non-linear semi-analytical finite element method based on spatial catenary cable element can take full account of the impact of non-linear geometry. The initial configuration and the internal forces on any directional spatial loads can be solved. The example shows that the calculation method is accurate and effective.
出处
《重庆大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2010年第10期64-69,共6页
Journal of Chongqing University
基金
国家自然科学基金资助项目(50678181
50708118)
重庆市自然科学基金资助项目(CSTC
2007BB0133)
重庆大学优秀青年教师基金资助项目
关键词
悬索
索单元
有限元
非线性
悬链线
suspended cable
cable element
finite element
nonlinear
catenary
