stiffness of cable

According to the elastic catenary theory, the spatial catenary cable element used for finite element analysis of the structure is derived from the exact analytical expression. The precise expression of two-node cable element tangent stiffness matrix and the tension of cable end are educed.

根据弹性悬链线的理论解析解推导出适用于导线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。

The final finite-volume discretization equations are derived using the Hamilton principle. Meanwhile the global nodal force vector, mass matrix and tangent stiffness matrix of the cable are obtained.

再根据哈密顿原理导出了悬索大挠度振动的有限体积离散方程，推出了索的整体节点力向量、质量矩阵和切线刚度矩阵。

The North Channel cable bridge was analyzed after taking measures, the results showed the wind resistance measures increased the stiffness of structure and controlled the buffeting of the bridge.

对南航道斜拉桥最大双悬臂状态增设抗风措施后的效果进行了验算，结果表明，所采用的抗风措施提高了结构的刚度，有利于控制抖振。

According to the assumption of cable element, not only cable equations of 2D and 3D but also spatial cable tangent stiffness matrix are deduced.

然后根据悬索单元的假定，推导出平面和空间的索单元方程，并给出空间索单元切线刚度矩阵。

The precise tangent stiffness matrix of space cable element is derived in this paper by using equilibrium equation.

本文采用状态平衡方程推导出用超越函数表示的空间索单元切线刚度矩阵的精确表达式。

The prestressed lattice structure is a new type of structural form. The tangent stiffness matrix of the spatial cable element would be introduced in the process of nonlinear analysis in the calculation of this type of structure.

预应力空间网格结构是一种新型的结构形式，对该结构进行非线性分析计算时，需要采用空间索单元的切线刚度矩阵。

In this paper, the element tangent stiffness matrix of spatial fold cable element under initial stress condition and nonlinear simultaneous equations for finite element method which can be used in nonlinear analysis and calculation of prestressed lattice structures are developed by studying the prestressed cable element.

通过对于预应力索单元的分析研究，推导了具有初始应力的空间折索单元的单元切线刚度矩阵的计算公式，并且建立了可用于预应力空间网格结构非线性有限元分析的非线性方程组。

The large amplitude cable vibration often is induced low damping and small stiffness of stay cable.

拉索是斜拉桥的关键构件,承受桥梁的全部荷载,在风(雨)等作用下容易产生大幅振动.