几何非线性

几何非线性采用总体拉格朗日列式法，在此基础上引入材料非线性的影响推导了初始几何缺陷悬链线拱的双重非线性稳定承载力控制方程。用Matlab编程进行了计算分析。

Geometric nonlinearity adopt total lagrangian formulation , deduce double nonlinearity stability control equations of initial geometrical imperfections catenary arch , with corresponding programs complied in Matlab .

为解决这一问题，本文考虑了几何非线性和材料非线性，利用ANSYS有限元程序，对节点的主要影响参数进行了分析，并指出了各参数对其的影响规律。

To solve this problem , this paper considering geometric nonlinearity and material nonlinearity , modeled using ANSYS finite element program to analyze the influential parameters of KK-type joints , and points out the law of influence .

本文研究板壳几何非线性弯曲问题，用变量变换和三次B样条函数。

The paper has studied the geometric nonlinear bending problem of plates and flat shells .

ANSYS几何非线性理论及其在桥梁结构中的应用

Geometric Non - linearity Theory in ANSYS and Its Application to Bridge Structures

几何非线性弹性动力学中广义Hamilton型拟变分原理

Generalized Hamilton-type Quasi-Variational Principles in Geometrically Nonlinear Elastodynamics

TL法和UL法对几何非线性桁架问题的适用性

Feasibility of finite element methods for the analysis of geometrically nonlinear trusses

为了处理硬态切削过程中的几何非线性问题，采用了更新的Lagrange格式的增量有限元法；

Imports updated Lagrange increment finite element method for disposing geometry non-linearity problem in the hard cutting coursing ;

Marc，考虑结构的材料非线性、几何非线性和接触非线性，建立了充气式气囊密封的轴对称有限元模型，对其充气密封机制进行了分析，得到了唇口法向接触应力的分布规律；

Marc . The seal mechanism was analyzed and normal contact stress distribution along seal bead was obtained .

预应力双曲抛物面索网因其几何非线性而使精确求解困难。作者将配线法与Galerkin法结合使用计算该类具有复杂底平面的索网结构。

Collocation line-Galerkin method of weighted residuals is employed to analyse hyperboloid cable network structure with complicated basal plane .

利用UL法研究了开口薄壁曲线梁几何非线性分析问题。

The geometric nonlinear analysis of curved beams with thin-walled open sections is performed .

本文使用有限元软件ANSYS对纤维缠绕压力容器进行了几何非线性分析，并对容器进行了强度以及失效研究。

Geometrical nonlinear analysis of filament-winding pressure vessel with ANSYS are carried out in this paper . The failure and the strength of vessel were also studied .

本文从ANSYS采用的理论出发，阐述了ANSYS中的几何非线性理论，并结合具体的钢桁梁结构说明了其在桥梁结构中的应用。

In this paper , the geometric non-linearity theory in ANSYS is discussed , and the application of it to trussed girders is illustrated with practical examples .

基于几何非线性的Pall型摩擦阻尼器滞回特性分析与试验验证

Analysis of hysteretic behavior of Pall-typed frictional dampers considering geometrical nonlinearity and corresponding test verification

用局部PetrovGalerkin方法求解几何非线性问题，这是一种真正的无网格方法。

The local Petrov-Galerkin method ( LPGM ) is applied to solving geometrically nonlinear problems .

GMF双层膜几何非线性变形模型及实验研究

A geometrical nonlinear deformation model and its experimental study of bimorph giant magnetostrictive thin film

本文将弯曲井眼中的底部钻具组合（英文名称为BottomHoleAssembly，简称BHA）作为空间梁来处理，在考虑几何非线性因素的基础上，导出了相应的有限元切向刚度矩阵。

In this paper , Bottom Hole Assembly in a curved wellbore is treated as spatial elastic beam . On the basis of geometrically nonlinear strain analysis , tangent stiffness matrixes are deduced .

采用ANSYS程序，建立了空间杆系有限元计算模型，并对其进行了第一类和第二类空间稳定性分析，对每一种模型分别进行线弹性和几何非线性计算，得到了一些重要结论。

A spatial pole series finity element models is established by means of ANSYS program . Some important conclusions are gained from the first species and second species stablization analysis for this model .

本方对Karman型四边支承正交异性薄板在5种不同边界条件下的几何非线性弯曲进行了统一分析。

A general method for the bending of Karman-type orthotropic rectangular thin plates is presented under 5 different boundary conditions .

本论文主要利用秦荣教授的QR法研究网壳结构的几何非线性静力和动力问题。

In this paper , static and dynamic problems of the geometrically non-linear performance of network shell structure are studied by the QR-method produced by Professor Qi .

采用板壳单元离散变截面H型钢柱，并同时考虑构件整体与局部初始缺陷、残余应力、材料屈服、几何非线性等因素的影响。

The non-linear finite element method for plate-shell structure is proposed to trace up whole-process analysis of tapered H-section steel column , while the effects of many factors on member such as residual stress , initial geometric imperfections and so on are focused .

通过有限元方法，对国产轧制H型钢轴心受压构件的极限承载力进行了弹塑性和几何非线性的有限单元法理论分析，同时考虑了热轧型钢的残余应力和构件的初始缺陷。

By means of finite element method an elastic-plastic and geometrically nonlinear finite element method is developed to analyze ultimate strength of H-shape steel columns under axial compressive loading . Initial imperfections including residual stress due to hot-rolled and initial overall deflections of columns are considered .

第二章从几何非线性应变-位移关系描述非线性变形场，使用有限元方法离散三维任意截面柔性梁，用Kane方法对离散的模型建立动力学方程，并通过算例验证了算法的正确性和可行性。

On the foundation of nonlinear displacement field , the FEM discrete method is applied , and the Kane 's method is utilized in deriving the equations of motion .

利用ANSYS有限元程序，考虑几何非线性，对梁柱不等截面的斜腿刚架在梁上作用均布荷载的情况下，进行了大量的荷载&位移全过程分析。

Using finite element program of ANSYS , considering geometric nonlinearity , a large number of load-displacement path analysis of tilted column rigid frames with unequal section size of beam and column are conducted under uniformly distributed loads on to the beam .

就纸张大变形问题给出了几何非线性增量格式更新拉格朗日描述，编制了2D有限元计算程序，并采用Newton-Raphson迭代法对送纸过程中纸张的大幅弯曲垂落进行数值分析。

Updated Lagrangian model was presented and implemented in 2D FEM computer codes for computing of large deformation of the paper . Newton Raphson iteration was employed to predict large displacements of the cantilever paper under gravity .

结果表明：文中利用T-S模糊模型设计的模糊H∞动态输出反馈控制律对几何非线性板结构有很好的抑制作用，且给出的控制律其计算量不大，易于实现。

The result shows that the vibration of plate structure with geometrical non-linearity is suppressed by using fuzzy H ∞ dynamic output feedback control based on the structural T-S fuzzy model , which is less complex in computation and can be practically implemented .

采用pushover法研究了拱肋的几何非线性，以及几何、材料双重非线性的影响，提出了节点位移偏差向量范数的概念，以从宏观上表示拱肋的非线性行为；

The effect of geometrical non-linearity and geometrical material coupled non-linearity are studied by means of pushover analysis , during which nodal displacement deviation vector norm is presented to indicate the non-linear behavior of the arch .

本文利用一阶剪切理论和Reddy高阶剪切理论计算了考虑横向剪切变形影响的复合材料层合圆柱壳的线性失稳载荷和几何非线性失稳载荷。

The linear and geometric nonlinear buckling load including transverse shear deformation are calculated by Timoshenko first-order shear deformation theory and Reddy higher-order shear deformation theory respectively .

应用几何非线性增量有限元位移法对索网结构的初始形状判定和静力荷载计算进行分析，采用FORTRAN语言编制了相应的计算机分析程序。

In the paper the inital shape decision and static load analysis of a cable structure have been put up by use of the geometric nonlinear incremental tinite element displacement method . A program has been designed by use of FORTRAN language .

在阐述斜拉桥几何非线性的各影响因素的基础上，通过具体算例分析了CFRP拉索斜拉桥的非线性各因素的影响量，并与钢拉索斜拉桥进行对比。

Based on the exposition of geometric nonlinear influencing factors of cable-stayed bridges , the influence quantity of all nonlinear factors of cable-stayed bridges with CFRP cables is analyzed through a specific example , and it is compared with that of cable-stayed bridges with steel cables .

基于放松单元间连续性要求约束的广义变分原理，建立了用于几何非线性分析的非协调四边形精化杂交Mindlin板元，其非线性单元刚度矩阵可按假定应变模式分解。

Based upon a generalized variational principle , which relaxed the inter element continuity requirements , a novel refined hybrid Mindlin plate element is developed , its non linear element stiffness matrices are decomposed into a series of matrices with respect to the assumed strain modes .