tangent stiffness matrix

In consideration of the fact that some elements in the tangent stiffness matrix were difficult to be solved in certain ranges, the interpolation and polynomial fitting methods were adopted for the tangent stiffness matrix.

针对切线刚度矩阵中一些元素的数值在某一区段内难于求得的问题，采用数字插值和多项式曲线拟合的方法，得到了切线刚度矩阵。

A spatial beam element is adopted in the nonlinear analysis. The large deformation of the structure is considered by constructing the incremental tangent stiffness matrix which consists of both geometric stiffness matrix and defamation matrix.

采用空间梁单元，通过包含单元几何刚度阵和变形刚度阵的增量切线刚度法考虑大变形问题；

Relationships between equilibrium matrix and tangent stiffness matrix, linear stiffness matrix, initial stress stiffness matrix are discussed.

与几何非线性有限元法进行了比较，深入阐述平衡矩阵与切线刚度矩阵、线性刚度矩阵、初始应力矩阵的联系，指出了该方法进行动不定结构分析的优越性。

Principle of stationary incremental potential energy and formation rules of tangent stiffness matrix

势能增量驻值原理与切线刚度矩阵的解构规则波纹管抗扭刚度的计算

Elasto Plastic Tangent Stiffness Matrix of Three Dimensional Beam Elements

三维梁单元的弹塑性切线刚度矩阵

In this paper, a tangent stiffness matrix of members of latticed shell was derived on the basis of using Timoshenko's beam-column theory.

本文采用Timoshenko梁柱理论，推导出网壳杆件的切线刚度矩阵。

Firstly, the author utilizes the law of spline subdomain to construct the tangent stiffness matrix of spatial beam-column element and the geometrically non-linear stiffness equation of network shell structure and goes on its non-linear static analysis.

首先利用样条子域法建立空间梁&柱单元的切线刚度矩阵和网壳结构几何非线性的刚度方程，进行非线性静力分析；

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 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；

The minimal eigenvalue of the tangent stiffness matrix is employed to determinate the stability of the equilibrium configuration on the kinematic path.

通过考察系统切线刚度矩阵最小特征值的变化，来跟踪机构运动形态的稳定性。

With this co-rotational framework, the effect of rigid-body motion on the nodal variables computing can be excluded in advance, which makes a great simplification in establishing the element tangent stiffness matrix.

由于局部坐标系采用了协同转动框架，在计算单元节点变量时可以排除刚体位移的影响，从而显著降低了建立单元切线刚度矩阵的复杂性。

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。

Using the concept of plastic hinge, the tangent stiffness matrix of spatial beam element is formed. At the same time the effect of geometry nonlinear property, residual stress and end restraint are considered.

引入塑性铰的概念，建立了空间梁单元弹塑性刚度矩阵，同时考虑几何非线性、残余应力、端部约束等的影响，给出了一套钢结构复杂体系的有限元计算方法。

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。

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。

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。

In this paper, the tangent stiffness matrix, including load stiffness matrix, of a thin shell element with large defleCtions is derived, and the equilibrium path tracing method is introduced.

本文简要推导了包括荷载刚度矩阵在内的大变形等参数薄壳单元的切线刚度矩阵，并介绍了平衡路径的跟踪方法。

It is stressed to study the effect of geometrical imperfections on the structural stability in the paper The tangent stiffness matrix is created based on the beam-column theory, the dynamic stability is solved by the improved displacement control method.

首先基于梁柱理论建立结构的切线刚度矩阵，然后对适用于静力稳定性分析的广义位移控制法进行改进，将其用于结构的动力稳定性分析。

Meanwhile, the internal force vector and the element tangent stiffness matrix could be obtained from calculating directly the first derivative and second derivative of the element strain energy with respect to the nodal variables, respectively.

同时，采用矢量型转动变量，可以直接从计算单元应变能泛函对节点变量的一阶和二阶偏微分得到单元内力矢量和切线刚度矩阵。

Study on a Tangent Stiffness Matrix Applied to Geometrically Nonlinear Elastic Plane Frames

平面框架梁单元切线刚度矩阵的研究

The Accurate Total Equilibrium Equation and Tangent Stiffness Matrix of Three Dimensional Lattice Elements

空间桁架单元精确全量平衡方程及切线刚度

In the paper, the accurate total equilibrium equation of one dimensional lattice element in the coordinate has been given by using Green Strain Tensor, then it is changed into one in the fixed three dimensional coordinate, so we can get the accurate tangent stiffness matrix.

利用Green应变张量在随动坐标系中建立一维桁架单元的精确全量平衡方程，然后将其转化成固定空间坐标系中的全量平衡方程，并由此导出精确的切线刚度。

Secant stiffness matrix and tangent stiffness matrix of reinforced concrete arbitrary cross-section members with eccentric compression load are derived, on the base of plane assumption and the cross-section equilibrium equations.

以平截面假设为基础，利用截面内力平衡关系，推导出钢筋混凝土双向偏压构件截面割线刚度、切线刚度矩阵计算的简便公式。

The tangent stiffness matrix of three-node beam element is derived using the nonlinear finite element theory.

结合非线性有限元理论，推导了三结点梁单元的切线刚度矩阵。

Based on nonlinear finite element theory, the tangent stiffness matrix in space frames is deducted and the program of nonlinear dynamic stability is compiled.

本文以此单层柱面正交异型网壳结构作为研究对象，根据非线性有限元理论建立了空间梁单元的切线刚度矩阵，编制了非线性动力稳定程序。

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 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。

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。

Tangent stiffness matrix for spatial concrete filled steel tubular ( CFST) pole element of geometric nonlinearity coupled with material nonlinearity under large displacement and large strain which was deduced with co-rotational coordinate method was proposed.

采用共旋坐标法导出钢管混凝土杆单元在大位移、大应变条件下的空间几何、材料非线性耦合的单元切线刚度矩阵；