考虑弯扭形变的薄壁箱形梁的非线性后屈曲

在大位移和扭转的前提下,通过一中等弯曲扭转的位移场描述了薄壁箱形梁在偏心载荷作用下的静稳定性问题.该非线性公式可用于分析简支薄壁箱形梁在不同载荷作用下的屈曲和后屈曲行为.采用伽辽金方法将非线性微分系统离散,并通过牛顿-拉普森增量迭代法求解得代数方程组.数值计算结果表明,当前屈曲位移不可忽略时,经典的横向屈曲预测是保守的...     

Thermal post-bunkling analyses of functionally graded material rod

The non-linear governing differential equations of immovably simply supported functionally graded material (FGM) rod subjected to thermal loads were derived. The thermal post-buckling behaviors of FGM rod made of ZrO2 and Ti-6Al-4Vwere analyzed by shooting method. Firstly, the thermal post-buckling equilibrium paths of the FGM rod with different gradient index in the uniform temperature field were plotted, and compared with the behaviors of the homogeneous rods made of ZrO2 and Ti-6A1-4V materials, respectively. For given value of end rotation angles, the influence of gradient index on the thermal post-buckling behaviors of FGM rod was discussed. Secondly, the thermal post-buckling characteristics of the FGM rod were analyzed when the temperature difference parameter is changed while the bottom temperature parameter remains constant, and when the bottom temperature parameter is changed while the temperature difference parameter remains constant, and compared with the characteristics of the two homogeneous material rods.     

Thermal post-buckling of an elastic beams subjected to a transversely non-uniform temperature rising

IntroductionAxiallycompressedstresseswilloccurinaconstrainedelasticbeamsubjectedtoatemperaturerising .Ifthemagnitudeofthecompressedstressesexceedacertainlimit,thermalbucklingoftheheatedbeam ,whichisoutofitsinitialconfiguration ,willtakeplace .So ,investigationsonthermalbucklingofrodsandbeamsareverynecessaryandimportantforthedesignofstructuresworkinginhightemperatureenvironmentsandofsomethermalsensitiveelasticelements.Becausethermalelasticpost_bucklingofbeamsandrodsareinducedbythethermallyaxial…     

Elastic instability of an orthotropic elliptic plate

On the basis of von Kármán equations and using the general bifurcation theory,theelastic instability of an orthotropic elliptic plate whose edge is subjected to a uniform planecompression is discussed.Following the well-known Liapunov-Schmidt process theexistance of bifurcation solution at a simple eigenvalue is shown and the asymptoticexpression is obtained by means of the perturbation expansion with a small parameter.Finally,by using the finite element method,the critical loads of the plate are computed andthe post-buckling behavior is analysed.And also the effect of material and geometric parameters on the stability is studied.     

BUCKLING AND POST-BUCKLING OF ANNULAR PLATES UNDER xNON-AXISYMMETRIC PLANE EDGE FORCES

On the basis of both the general theory[1,2]and the finite element method[4]ofperforated thin plates with large deflection,the buckling and post-buckling of annular platesunder non-axisymmetric plane edge forces are studied.     

正交各向异性椭圆板的弹性失稳

本文以von Kármán型方程为基础并利用一般分支理论讨论了正交各向异性椭圆板在面内边缘均布压力作用下的弹性失稳.利用Liapunov-Schmidt过程证明了单特征值处分支解的存在性并利用小摄动展开得到了分支解的渐近表达式.最后利用有限单元法计算了正交各向异性椭圆板的临界载荷并进行了板的过屈曲分析,还考察了材料和几何参数对稳定性的影响.     

An analysis of the post-buckling of laminated plates of symmetric cross-ply

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Buckling and post-buckling of a ferromagnetic beam-plate induced by magnetoelastic interactions

Buckling and post-buckling behavior of a soft ferromagnetic beam-plate with unmovable simple supports under an applied magnetic field is analyzed by taking into account the non-linear effect of large deflections based on the von Karman model of plates. The study shows that buckling is proceeded by bending only if the applied magnetic field forms an incident angle with the normal of the plate. The characteristics of buckling and post-buckling are explored by numerical analysis. In particular, the numerical solution shows that, when the applied magnetic field is oblique, the plate snapps from a whole wave configuration into a half-wave configuration as buckling/snapping occurs, and that the magnetoelastic buckling strength increases with the increasing oblique angle.     

结构分支型初始后屈曲中有限元平衡方程组的解法

根据结构分支型初始后屈曲中有约束的有限元平衡方程组的特点，推导了一种具有工程实用价值的变换方法，将其化为无约束的线性方程组，并给出了数值算例。     

PLASTIC POST－BUCKLING OF A SIMPLY SUPPORTED COLUMN WITH A SOLID RECTANGULAR CROSS－SECTION

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