tangent stiffness

In this paper, the tangent stiffness matrices and the secant stiffness matrices of space trusses are derived with the energy principle in the Total Lagrangian coordinates.

本文在T.L.坐标下，利用能量原理，同时导出了空间杆元精确的割线刚度矩阵和切线刚度矩阵显式。

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。

Based on the nonlinear finite element theories, this thesis adopts Total Lagrange description to deduce geometric nonlinear tangent stiffness expressions for spacial frame, considering effects of high nonlinearity.

基于非线性有限元理论，采用全拉格朗日（Total Lagrange）描述法，考虑高阶非线性项的影响，推导了空间梁单元的几何非线性切线刚度矩阵。

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

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。

An element tangent stiffness equation was derived based on the secant stiffness equation of stability function elements with shear deformation effects considered.

以考虑剪切变形影响的稳定函数单元的割线刚度方程为基础，导出了单元切线刚度方程。

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。

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

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。

Based on the total Lagrangian formulation, the formulas of both secant and tangent stiffness matrices in geometric nonlinear analysis are derived in detail in this paper, and their mathematical relationship is given.

根据T、L描述法，详细推导了几何非线性分析中的割线刚度矩阵和切线刚度矩阵一般表达式，并给出了两者之间的数学关系。

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 Operator of a Class of Elastoplastic Materials Coupled with Damage

一类弹塑性损伤材料的切线模量

Secant and Tangent Stiffness Matrices and Their Relationship in Geometric Nonlinear Analysis

几何非线性分析中的割线刚度矩阵与切线刚度矩阵及其关系

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。

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。

Through improving the displacement loading control method based on the tangent stiffness, this paper has presented displacement loading control method based on the secant stiffness.

在基于切线刚度的位移加载控制法基础上进行改进，采用基于割线刚度的位移加载控制方法，并绘制了相应框图。

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。

Through properly improving the Newton-Raphson method of solving system of equations based on the tangent stiffness, this paper presented Newton-Raphson incremental-iterative mixed method based on the secant stiffness.

在传统基于切线刚度的Newton-Raphson法求解方程组基础上进行适当地改进，采用基于割线刚度的Newton-Raphson法，并绘制了流程图。

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。

It is a convenient method to derive tangent stiffness of any members and structures.

利用该解构规则形成切线刚度矩阵的方法简单、直观，通过平面梁元例题验证了可利用该方法求得任何单元或结构的切线刚度矩阵。

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

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

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.

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。

Consistent tangent stiffness method and its application to three-dimensional elastoplastic finite element analysis

一致切线刚度法在三维弹塑性有限元分析中的应用

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。

MEP element model described explicitly is formulated by using the principle of minimum potential energy, and the secant stiffness and tangent stiffness of MEP element are educed.

本文根据最小势能原理推导了一个高精度、高效的梁柱MEP单元，并且导出了该模型的割线和切线刚度矩阵。

According to the generalized normality rule, the tangent stiffness operator of elastoplastic material coupled with damage is derived from the state potential and the dissipative functions.

依广义正交法则，由状态势和耗散势函数推导出了耦合损伤的弹塑性切线模量。

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；