利用杆件截面的弯矩—曲率关系，可以直接由弹性杆件的转角—位移方程建立单元的非线性刚度矩阵。
By using the moment-curvature relationships of the member section, the inelastic element stiffness matrix is derived directly from the slope-deflection equation of clastic member.
风荷载作用下的非线性静力失稳理论，推导了适合计算的非线性刚度矩阵，并开发了大跨度桥梁的非线性静力。
Wind Loads nonlinear static instability theory, derived for calculating the nonlinear stiffness matrix, and the development of long-span Bridges in the nonlinear static.
本文详细地分析了囊体结构的非线性变形过程及刚度矩阵出现奇异的原因；
This paper analyzes the nonlinear deformational process of the envelop structure and the cause of stiffness matrix singularity in details.
几何非线性单元的精度主要决定于单元恢复力的计算方法，刚度矩阵对单元精度的影响很小。
Method for computing the element restoring force, rather than the stiffness matrix, is the most important factor that determines the accuracy of a geometric nonlinear finite element problem.
对于非线性杆件单元，本文提出一种新的简便有效的集成单元刚度矩阵的算法。
A simple and efficient method for integrating the nonlinear beam element stiffness matrix is presented in this paper.
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。
The paper deduces tangent stiffness matrix and set up geometrical nonlinear model of construction control calculation of the cable-stayed bridge.
列式法求解切线刚度矩阵来考虑几何非线性。
For geometrical nonlinearity, Updated Lagrangian formulations are adopted to derive the tangent stiffness matrix.
利用变分原理，推导了两节点二维曲梁单元几何非线性的单元切线刚度矩阵。
From the variation principle, an analytical solution of the tangential stiffness matrices with nonlinear effects geometrically, for two-nodal two-dimension curved beam element, has been derived.
计算时该格式使用同一刚度矩阵，只需要不断更新荷载矢量，即在荷载矢量的迭代中反映几何非线性效应。
In calculation, this method USES the same stiff matrix, and only to renew the load vectors, which means it will reflect the geometric nonlinear effect in the load vectors' iteration.
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。
The member tangent stiffness matrix whichacounts for various nonlinear influence factors mentioned above is established.
根据框支墙中钢筋的特点，确定了钢筋与混凝土的材料组合模型，导出刚度矩阵的计算公式。使框支剪力墙结构的非线性有限条法分析成为可能。
According to the features of reinforcing bars in the wall, authors model the combing material model of reinforcement and concrete and get the calculation formulation of a stiffness matrix.
使用初应力法对非线性方程组进行迭代计算，避免了组装和分解总体刚度矩阵的繁杂而庞大的运算。
To cut down great calculation of assembling and disassembling of stiffness matrix in the nonlinear procedure, the initial stress method is introduced to resolve the nonlinear equations.
基于几何非线性有限元理论，推导了折线形索单元的刚度矩阵，建立了索张拉预应力钢桁架的几何非线性数值分析模型。
Based upon the theories of geometrical nonlinearity, the stiffness matrix of cable elements are put forward and the numerical model of cable-prestressed steel structures are established.
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 three-node beam element tangent stiffness matrix including the geometric stiffness matrix is developed according to the nonlinear finite element theory.
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。
The tangent stiffness matrix is obtained from the engineering strain and the principle for determining the limit point and bifurcation point is given.
推导同时考虑弯曲变形和剪切变形时的群桩刚度矩阵，采用分别计算各子结构阻尼的方式来考虑整个结构的阻尼，并采用等效线性化原理来考虑土体的非线性。
Stiffness matrix of the piles was given, including bending and shear deformation effects. The damping of the entire structure was calculated using the damping of each of the sub-structures.
目标函数、各单元的刚度矩阵与质量矩阵等跟设计变量的关系可以是非线性的。
The object function, stiffness matrices and mass matrices of the elements can be of nonlinear relations with the design...
目标函数、各单元的刚度矩阵与质量矩阵等跟设计变量的关系可以是非线性的。
The object function, stiffness matrices and mass matrices of the elements can be of nonlinear relations with the design...
应用推荐