Cable-stayed bridge and stayed cable are obviously geometrically nonlinear structures.
斜拉桥和斜拉索是几何非线性明显的结构。
The element-free Galerkin (EFGM) method is extended to solving the geometrically nonlinear problem.
无单元伽辽金法（EFGM）求解几何非线性问题。
This method can be applied to the solution of geometrically nonlinear problems for complicated structures.
该方法能直接应用到大型复杂杆系结构的几何非线性问题的求解中。
Chapter 2 introduced the fundamental of geometrically nonlinear finite element method and solution methods.
第二章介绍了几何非线性有限元的基本原理及求解方法。
One is the nonlinear eigenvalue theory and the other is the theory of geometrically nonlinear critical point.
其中几何非线性特征值稳定性理论出现的最早。
An optimum algorithm is proposed to solve the geometrically nonlinear problem for a simply-supported beam with large deformation.
提出一种求解几何非线性问题的优化算法，并研究了简支梁的几何非线性大变形问题。
Based on the above theory, finite element software is developed to analyze the geometrically nonlinear stability of slender structure.
基于上述理论，开发了可考虑几何非线性效应的细长结构稳定性分析软件。
An optimum algorithm is proposed to solve the geometrically nonlinear problem of large deformation of a cantilever under pressure on free end.
提出一种解决几何非线性问题的优化算法，研究了悬臂压杆的几何非线性大变形问题。
The computation of cars running on monocable circulating ropeway is a problem of dyn amic ana-lysis for geometrically nonlinear continuous systems.
单线循环式索道车斗运行过程的模拟计算，是个几何非线性连续系统的动力分析问题。
Numerical results are presented to show that the resulting 2d and 3d geometrically nonlinear mixed strain elements possess all the ideal qualities.
数值结果表明，所构造的二维及三维几何非线性混合应变元具有理想的性能。
The element coupling shape function matrices are derived by means of geometrically nonlinear strain displacement relation under small deformation assumption.
利用几何非线性的应变-位移关系式，在小变形假设条件下确定了单元耦合形函数。
The geometrically nonlinear analysis of the Partial Double Layer (PDL) reticulated shell with rigid, pinned or rigid pinned joints was studied in this paper.
本文提出用子结构法解决具有刚接与铰接混合连接的局部双层网壳结构的几何非线性分析。
The element coupling shape function meatrices are derived by means of geometrically nonlinear strain displacement relation un-der small deformation assumption.
利用几何非线性的应变-位移关系式，在小变形假设条件下确定单元耦合形函数。
Based on the geometrically nonlinear theory for axially extensible beams, formulations of free vibrations in the vicinity of thermal post-buckling were derived.
基于轴向可伸长梁的几何非线性理论建立了弹性直梁在热过屈曲静态大变形附近自由振动的几何非线性模型。
Successive approximation and least square collocation are used to find the solution of geometrically nonlinear bending problem of orthotropic rectangular plates.
用逐次逼近法和最小二乘配点法求正交异性矩形薄板弯曲的几何非线性解。
This paper solves problems of geometrically nonlinear bending of very flat and thin orthotropic shell under transverse load with least square method of collocation.
本文用最小二乘配置法求解正交异性极扁薄壳承受横向载荷作用下几何非线性弯曲问题。
The influence of geometric parameters on stepped T-type RHS joint was studied by using finite element method considering material and geometrically nonlinear effect.
采用能处理几何非线性和材料非线性影响的有限元方法，研究了几何参数变化对弯矩作用下不等宽t型方管节点性能的影响。
Based on the updated Lagrangian description, the incremental equilibrium equations of triangular plate shell elements for geometrically nonlinear problem are derived.
基于修正的拉格朗日描述，系统推导了三角形平面壳单元用于几何非线性问题分析时的增量平衡方程。
Considering the geometrically nonlinear remarkable character, the structure dynamic character during the whole suspension bridge construction must be further studied.
结合悬索桥几何非线性的显著特点，对悬索桥进行施工全过程动力特性要进一步分析。
A new arbitrary stiffened shell element is devised to investigate the geometrically nonlinear behavior of eccentrically stiffened laminated composite shell-like structures.
构造了用于复合材料偏心加筋壳形结构大变形分析的任意加筋壳单元。
The application of geometrically nonlinear transition beam element can enhance the calculation precision of partial single-layer and partial double-layer reticulated shells.
过渡梁元切线刚度矩阵的提出，使局部单层局部双层网壳的计算结果更趋近于实际。
Numerical results indicate that the generalized conforming element has the advantages of high accuracy and uniform convergence to geometrically nonlinear problem of structures.
计算结果表明，广义协调元对于求解结构几何非线性问题同样具有精度高、收敛快等优点。
At present, researches are only limited to the static behavior and geometrically nonlinear stability of cylindrical orthogonal supported on the rigidity roof beam or fringe truss.
目前，对其研究仅限于支承于刚性边梁及边桁架的正交柱面网壳的静力特性及几何非线性稳定性能。
This paper presents a geometrically nonlinear FEM with less degrees of freedom, of single layer reticulated shells when the effects of welded hollow spherical hodes are considered.
本文基于焊接空心球节点单层网壳结构的构造特点，给出了一种不增加总自由度数的考虑焊接空心球节点影响的单层网壳结构几何非线性有限元分析方法。
Numerical examples show that the incremental finite element method presented in this paper can analyse the geometrically nonlinear problems of space trusses satisfactorily and effectively.
算例表明：采用本文理论可以极为有效地分析各类空间桁架几何非线性问题。
Geometrically and materially nonlinear analyses (GMNA) were carried out to analyze the effects of several geometric parameters on the elastic-plastic behavior of the structure.
通过几何、材料双重非线性分析，讨论主要几何参数对结构弹塑性受力性能的影响。
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.
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.
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。
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