建立了三部分的相应屈曲模型，导出了相应的屈曲方程。
We have developed curve models and derived curve equations respectively.
针对受压限制失稳结构，利用点接触、线接触屈曲模型，建立了杆在各种屈曲模态下的挠度曲线方程。
The deflection equations of constrained buckling are derived in buckling of bar structure via point contact and line contact models.
在此基础上，应用能量原理及突变理论推导矿柱失稳的临界载荷及临界应力，提出矿柱发生失稳的屈曲模型。
The critical load and critical stress were deduced by means of energy principle and catastrophe theory based on these conditions, and the buckling model of pillar was presented.
本文用有限元模型分析了钢筋混凝土浅圆仓仓顶的弹性稳定性，计算了其屈曲临界荷载。
In this paper, the elastic stability of reinforced concrete silo shell roof is analyzed using finite-element model. The elastic critical buckling loads of the shell roof are calculated.
改善后的模型能较好地反映横向剪切效应对复合材料层板屈曲特性的影响。
Thus the effect of transversal shearing deformation on the buckling characteristics of composite laminated plates can be investigated more accurately by means of the modified model.
数值分析结果表明，利用磁致伸缩材料模型来解释悬臂铁磁板在横向磁场中的磁弹性屈曲问题是合理的。
The numerical analysis shows that it is reasonable to use magnetostrictive material model to analyze the magnetoelastic buckling of cantilevered ferromagnetic plates in transverse magnetic field.
基于磁致伸缩的概念，采用磁致伸缩应变模型，对横向磁场中铁磁体的磁弹性屈曲的临界磁场这一问题进行了研究。
Based on the idea of magnetic strain, the model of magnetic strain was used to analysis the magnetoelastic buckling of cantilevered ferromagnetic plate in transverse magnetic field.
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。
Based on the geometrically nonlinear theory for axially extensible beams, formulations of free vibrations in the vicinity of thermal post-buckling were derived.
因为所用的离散化模型与动力方程对梁的变形并无限制，所以可以用所得到的数学模型在其失稳域对梁的动力后屈曲进行数值仿真分析。
Because the deformer of a beam isn't restricted by discrete model and dynamic equation, the post buckling analysis can be done in above math model.
简单梁模型算例表明：该方法求得的各阶屈曲温度临界值和屈曲模态与AN SY S薄壳有限元解吻合较好；
The predicted critical buckling temperature and buckling modes for a simple model by using the beam elements are in good agreement with the finite shell element solution by ANSYS.
对连续梁和双杆框架模型的初始后屈曲进行了研究。
The early buckling of models of continuous beams and the frames with two bars were studied.
模型及标本承受屈曲、伸展、侧弯及轴向旋转的纯的不受限的7.5Nm大小的负荷。
The model and the specimens were loaded with pure unconstrained moments of 7.5 Nm in flexion, extension, lateral bending, and axial rotation.
文中建立的正弦形扁拱跳跃屈曲突变模型可以清晰地阐明扁拱失稳的物理意义。
In this paper, a catastrophe model of sine flat arch jumping bend is established.
对哈勃太空望远镜太阳帆板的简化模型进行了热屈曲分析，成功地解释了热使该太阳帆板发生扭转屈曲的原因。
The cause of the torsional buckling observed on the Hubble Space Telescope solar arrays is explained by the present thermal buckling analysis.
最后对一简单的导管架平台作了实例分析，给出了立柱屈曲的失效面模型，并证明了方法的有效性。
A simplified jacket is calculated as an example, the formulation and also the recommended failure function for column buckling are identified.
第二步，模拟实验条件，对模型施加边界约束，把实体模型转换为有限元的数学模型，并利用屈曲分析，对瓦楞纸板竖向边压的临界载荷进行计算。
Second, Simulating experiment condition, putting constraint on boundary of model, changing entity model to finite element model and using buckled analysis to calculate the CD critical load.
该模型对扰动频率非常敏感，扰动频率满足一定条件是动力扰动下洞室发生层裂屈曲岩爆的必要条件；
The model is sensitive to disturbance frequency which is an essential factor for rock burst occurrence, and is insensitive to disturbance amplitude.
建立了管柱螺旋屈曲和正弦屈曲的CFD模型和高产气井出砂时砂粒对屈曲油管的冲蚀模型。
Established string sinusoidal buckling of helical buckling CFD models and high-yield Wells sand production erosion tubing model.
初始缺陷的模型是根据一致缺陷模态法，按最小特征值屈曲模态分布，并控制其最大值的方法确定。
Based on the consistent mode imperfection method, the initial defect model was determined by the least order mode of eigenvalue buckling, and the maximum displacement value.
初始缺陷的模型是根据一致缺陷模态法，按最小特征值屈曲模态分布，并控制其最大值的方法确定。
Based on the consistent mode imperfection method, the initial defect model was determined by the least order mode of eigenvalue buckling, and the maximum displacement value.
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