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1·For geometrical nonlinearity, Updated Lagrangian formulations are adopted to derive the tangent stiffness matrix.

列式法求解切线刚度矩阵来考虑几何非线性。

2·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。

3·The member tangent stiffness matrix whichacounts for various nonlinear influence factors mentioned above is established.

并建立了能反映诸多种非线性影响因素的杆单元切线刚度矩阵。

4·The paper deduces tangent stiffness matrix and set up geometrical nonlinear model of construction control calculation of the cable-stayed bridge.

推演了索单元的切线刚度矩阵，建立了斜拉桥施工控制计算的几何非线性模型。

5·The tangent stiffness matrix is obtained from the engineering strain and the principle for determining the limit point and bifurcation point is given.

由工程应变推导出几何非线性的切线刚度矩阵，并给出判断分歧点与极限点的准则，最后用一数值例题说明该方法的分析过程。

6·The three-node beam element tangent stiffness matrix including the geometric stiffness matrix is developed according to the nonlinear finite element theory.

进而依据非线性有限元理论推导了该三结点梁单元的几何刚度矩阵的单元切线刚度矩阵；

7·Numerical calculation process to obtain the tangent stiffness matrix of structure is deduced and geometric stability of different types of structures are analyzed.

推导了铰接杆系结构切线刚度矩阵较为简便的计算生成过程，便于在编程中实现。

8·As a result, the element tangent stiffness matrix is symmetric and is updated by using the total values of the nodal variables in an incremental solution procedure.

因而，得到的单元切线刚度矩阵是对称的，此外在增量求解过程中用节点变量的全量进行更新。

9·Then, based on the CR formulation, the internal force vector and tangent stiffness matrix of large rotation and small strain space bar and plane beam element are deduced.

其次，基于CR列式法推导出了大旋转小应变空间杆单元及平面梁单元的内力矢量及切线刚度矩阵；

10·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。