带约束拉杆方形钢管混凝土轴压柱局部屈曲性能

假定方形钢管混凝土构件的钢管板件在非载荷边受到弹性约束,应用能量法对钢管局部屈曲强度计算公式进行了推导;并利用已有试验结果对计算公式的正确性进行了验证。在此基础上利用该公式对约束拉杆方形钢管混凝土构件在轴压下的屈曲性能进行分析,分析表明约束拉杆能有效提高构件钢管屈曲系数,从而提高钢管壁抵抗局部屈曲的能力。最后,给出了约束拉杆纵向间距的合理设置值以及带约束拉杆方形钢管混凝土轴压构件的钢管宽厚比限值。     

带约束拉杆L形钢管混凝土短柱的偏压承载力

在钢板中部位置设置具有约束钢板外凸变形作用的水平拉杆,是改善异形钢管混凝土柱力学性能的有效方法。该文介绍了8个带约束拉杆L形钢管混凝土偏压短柱试件的试验,结果表明约束拉杆的设置延迟钢管局部屈曲的发生,有助于L形钢管混凝土偏压短柱承载力的提高;偏心受压下该柱的截面应变符合平截面假定。采用带约束拉杆L形钢管的管内核心混凝土本构关系,利用纤维模型法对试件偏压极限承载力进行数值计算,计算结果与试验结果吻合良好。利用该数值方法对带约束拉杆L形钢管混凝土偏压短柱进行参数研究,分析了钢材屈服强度、截面含钢率、混凝土强度、拉杆约束系数及荷载角对N/Nu-M/Mu曲线的影响规律,在此基础上提出带约束拉杆L形钢管混凝土偏压短柱双向压弯承载力的简化计算公式。     

弹性支承上边界转动约束矩形板屈曲分析

随着工程结构的轻型化、薄壁化,薄板结构稳定问题越来越受到重视,针对不同条件下薄板屈曲问题开展了大量研究。弹性支承上的薄板屈曲、边界弹性转动约束的薄板屈曲和刚性支承上边界转动约束的薄板屈曲问题已有相关文献,关于非加载边弹性转动约束、弹性支承上薄板屈曲问题的研究尚不充分。该文研究了非加载边弹性转动约束、均匀受压弹性支承矩形薄板弹性屈曲问题。由Ritz能量变分法得到了临界载荷计算公式,应用有限元分析证实了理论解的适用性。得到了屈曲半波数与板的纵横比、边界转动约束系数及支承刚度之间的关系式,支承刚度增加使屈曲半波数和屈曲系数增大。     

玻璃纤维增强聚合物复合材料约束壁式钢管混凝土短柱轴压性能试验

为研究玻璃纤维增强聚合物复合材料(GFRP)约束壁式钢管混凝土矩形短柱的轴压力学性能,对1组无GFRP约束试件和2组GFRP约束试件进行静力轴压试验;根据试验结果提出壁式柱的强弱约束模型,并基于双剪统一强度理论建立GFRP约束壁式钢管混凝土柱的轴压承载力计算公式;最后建立有限元模型,将计算结果与试验对比,并进行参数化分析,研究钢材屈服强度和混凝土强度对新型壁式钢管混凝土柱轴压性能的影响。结果表明:壁式钢管混凝土柱最终因柱中混凝土压碎、钢管屈曲、试件变形过大而失效;钢材在试件第二线性段起点处开始屈服,钢材强度得到充分发挥,GFRP能有效提高构件峰值承载力,但延性有所下降;理论公式计算结果与试验值吻合较好;混凝土强度及钢材屈服强度均能有效提高承载能力,且钢材屈服强度对承载力的影响明显大于混凝土强度的影响。      

四边简支钢-混凝土组合板的弹性局部剪切屈曲分析

钢-混凝土组合板近年来在建筑及桥梁结构领域逐渐受到关注,但目前关于组合板弹性稳定性能方面的研究较少,尤其是局部屈曲性能。剪力连接件(栓钉)的最大间距是防止钢板局部屈曲先于屈服的最关键因素,也是保证组合板中钢板与混凝土板协同工作的前提。采用有限元计算方法,通过模型参数分析,研究四边简支钢-混凝土组合板在纯剪切作用下发生局部屈曲的特征,建立具有典型边界条件单块钢板计算模型来模拟组合板中栓钉包围钢板局部屈曲特性,从而推导出四边简支组合板栓钉连接最大间距的计算公式,计算结果偏于安全。     

土-钢共同作用下大跨度波纹钢板管廊结构局部屈曲分析

对于采用深波和大波波形的大跨度波纹钢板综合管廊,其截面平直段在结构整体达到极限承载力之前可能发生局部屈曲。采用Rayleigh-Ritz法对大跨度综合管廊结构中波纹钢板平直段的局部屈曲进行分析。将波纹段考虑为平直段的弹性约束,土体作用考虑为只能承受压力的弹性基底,根据环压理论,得到了钢板平直段在环向均布压力作用下屈曲半波数分别为偶数和奇数时的屈曲荷载理论解。讨论了转动弹簧约束系数对临界屈曲系数的影响,得出非加载边波纹段对平直段的约束作用可视为简支或固支的转动约束系数值;得到了土体弹簧刚度与屈曲荷载间呈线性关系;讨论了板件纵横比与临界屈曲系数间的关系,得到了临界屈曲系数趋于定值时相应的板件纵横比,给出了简化公式。通过有限元值、简化公式值与理论值的对比,证实了简化公式的适用性。最后,根据屈服准则和等稳准则,提出相应的防止大跨径波纹钢板局部屈曲的宽厚比限值的计算公式,可为实际工程提供参考。     

基于弹性扭转约束边界的波形钢板整体剪切屈曲分析

波形钢板的整体剪切屈曲对波形钢腹板PC组合箱梁桥的竖向抗剪设计有重要意义。该文在正交各向异性薄板理论的基础上,利用势能驻值原理和瑞利-里兹法,推导了基于弹性扭转约束边界的波形钢板弹性整体剪切屈曲荷载的分析方法,并给出了几种特殊边界条件下的简化计算公式。计算结果表明:对于四边简支板和四边嵌固板,该方法与现有公式计算结果一致;波形钢板强抗弯刚度方向上的约束条件是影响其整体剪切屈曲的决定性因素,随着该方向上约束的增强,屈曲模式将从四边简支情况向四边嵌固情况过渡;弱抗弯刚度方向上约束条件的影响很小,可以忽略。最后给出了将波形钢板在实际梁结构中受到的边界约束等效为弹性扭转弹簧的方法。     

加劲钢板剪力墙弹性抗剪屈曲性能研究

系统地分析了三个主要参数(板高厚比λ、肋板刚度比η和柱刚度β)对钢板剪力墙弹性屈曲性能的影响;提出了钢板剪力墙的三种弹性屈曲形式(局部屈曲、整体屈曲和相关屈曲),指出肋板刚度比η=40时(相当于I s=3.7bt3)能保证十字加劲板发生小区格板的局部屈曲或整块板的相关屈曲;指出现行高层建筑钢结构规范用于纵横加劲板局部屈曲荷载的设计表达式仅适用于η≥40的条件,而在η<40范围内,其计算结果偏于不安全;研究了交叉加劲板的弹性屈曲荷载,并与非加劲板和十字加劲板的屈曲性能进行了比较;最终给出了柱刚度对弹性屈曲荷载的修正系数,提出了交叉加劲板弹性屈曲荷载的简化计算公式。     

带约束拉杆T形截面钢管内核心混凝土的等效单轴本构关系

该文介绍了11个带约束拉杆和5个不带约束拉杆的T形钢管混凝土轴压短柱试件的试验研究,讨论在不同约束拉杆间距与直径、钢板厚度与屈服强度、截面尺寸下试件的破坏与承载力特点。结果表明,约束拉杆的设置改变了钢管的屈曲模态,延迟钢管局部屈曲的发生,有助于T形钢管混凝土轴压短柱的承载力和延性的提高。在合理假定的基础上,将T形钢管混...     

多层钢板剪力墙水平荷载作用下结构性能的有限元分析

利用有限元数值模型分别计算了四边简支和四边固支均匀受剪矩形板弹性屈曲剪应力及屈曲后极限强度。考虑内填板的屈曲后强度,通过相关文献的单层和4层钢板剪力墙试验数据验证了多层钢板剪力墙有限元数值模拟方法的正确性。利用试验验证的有限元分析方法分别研究了单层和4层钢板剪力墙在水平荷载作用下内填板高厚比的变化对结构性能的影响,并与相应的单层和4层纯框架结构进行了比较,这为钢板剪力墙在不同阶段的结构性能分析提供了依据。     

Explicit local buckling analysis of rotationally-restrained orthotropic plates under uniform shear

The explicit closed-form local buckling solution of in-plane shear-loaded orthotropic plates with two opposite edges simply supported and other two opposite edges either both rotationally restrained or one rotationally restrained and the other free is presented. Based on the boundary condition of the other two opposite edges, two types of plates are considered: the RR (both the edges rotationally restrained) and RF (one edge restrained and the other free) plate elements. Different plate buckled shape functions are proposed, and the approximate explicit expressions for the buckling loads are derived using the Rayleigh–Ritz method for the plate with the generic rotationally-restrained (R) boundary conditions which can be reduced to two extreme cases, i.e., simply supported (S) and clamped (C). The accuracy of the derived explicit solutions is verified by comparing the predictions with the existing solutions and numerical finite element analysis, and excellent agreements are obtained. The effects of material and boundary restraining parameters on the local shear buckling behavior of the plate elements are discussed. The derived explicit formulas for the shear buckling loads are straightforward, efficient and reliable for preliminary engineering design and analysis of composite structures under primarily shear-dominant loading conditions.     

Thermal buckling analysis of moderately thick functionally graded annular sector plates

In this article, thermal buckling analysis of moderately thick functionally graded annular sector plate is studied. The equilibrium and stability equations are derived using first order shear deformation plate theory. These equations are five highly coupled partial differential equations. By using an analytical method, the coupled stability equations are replaced by four decoupled equations. Solving the decoupled equations and satisfying the boundary conditions, the critical buckling temperature is found analytically. To this end, it is assumed that the annular sector plate is simply supported in radial edges and it has arbitrary boundary conditions along the circular edges. Thermal buckling of functionally graded annular sector plate for two types of thermal loading, uniform temperature rise and gradient through the thickness, are investigated. Finally, the effects of boundary conditions, power law index, plate thickness, annularity and sector angle on the critical buckling temperature of functionally graded annular sector plates are discussed in details.     

余弦分布压力下矩形薄板的屈曲

针对不同支承条件,两对边受半余弦非线性分布压力下弹性矩形薄板的屈曲问题,进行了分析研究。对于只产生对称变形的矩形薄板,基于辛弹性力学的平面矩形域理论,给出了精确的面内应力分布。运用Galerkin法分析计算了半余弦分布压力下矩形薄板的屈曲载荷。根据各种不同支承矩形薄板弯曲的位移边界条件,借助于符号运算软件Maple,编写了相应的用户计算程序。对九种不同支承组合下的弹性矩形薄板进行了计算,得到了不同长宽比矩形薄板的屈曲载荷系数。通过与已有文献结果的比较表明,该文求解方法是有效和精确的。基于所给出的结果,可望为解决矩形薄板在非线性分布载荷下的屈曲分析提供一种新的研究方法。     

Levy-type solution for buckling analysis of orthotropic plates based on two variable refined plate theory

This paper presents closed-form solution for buckling analysis of orthotropic plates using two variable refined plate theory. The theory accounts for a quadratic variation of the transverse shear strains across the thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. Governing equations are derived from the principle of minimum total potential energy. The closed-form solutions of rectangular plates with two opposite edges simply supported and the other two edges having arbitrary boundary conditions are obtained by applying the state space approach to the Levy-type solution. Comparison studies are performed to verify the validity of the present results. The effects of boundary condition, loading condition, and variations of modulus ratio, aspect ratio, and thickness ratio on the critical buckling load of orthotropic plates are investigated and discussed in detail.     

Levy Solution for Buckling Analysis of Functionally Graded Rectangular Plates

In this article, an analytical method for buckling analysis of thin functionally graded (FG) rectangular plates is presented. It is assumed that the material properties of the plate vary through the thickness of the plate as a power function. Based on the classical plate theory (Kirchhoff theory), the governing equations are obtained for functionally graded rectangular plates using the principle of minimum total potential energy. The resulting equations are decoupled and solved for rectangular plate with different loading conditions. It is assumed that the plate is simply supported along two opposite edges and has arbitrary boundary conditions along the other edges. The critical buckling loads are presented for a rectangular plate with different boundary conditions, various powers of FGM and some aspect ratios.     

Elastic large deflection analysis of plates subjected to uniaxial thrust using meshfree Mindlin-Reissner formulation

A meshfree approach for plate buckling/post-buckling problems in the case of uniaxial thrust is presented. A geometrical nonlinear formulation is employed using reproducing kernel approximation and stabilized conforming nodal integration. The bending components are represented by Mindlin–Reissner plate theory. The formulation has a locking-free property in imposing the Kirchhoff mode reproducing condition. In addition, in-plane deformation components are approximated by reproducing kernels. The deformation components are coupled to solve the general plate bending problem with geometrical non-linearity. In buckling/post-buckling analysis of plates, the in-plane displacement of the edges in their perpendicular directions is assumed to be uniform by considering the continuity of plating, and periodic boundary conditions are considered in assuming the periodicity of structures. In such boundary condition enforcements, some node displacements/rotations should be synchronized with others. However, the enforcements introduce difficulties in the meshfree approach because the reproducing kernel function does not have the so-called Kronecker delta property. In this paper, the multiple point constraint technique is introduced to treat such boundary conditions as well as the essential boundary conditions. Numerical studies are performed to examine the accuracy of the multiple point constraint enforcements. As numerical examples, buckling/post-buckling analyses of a rectangular plate and stiffened plate structure are presented to validate the proposed approach.     

Elastic-plastic buckling analysis of rectangular plates subjected to biaxial loads

In order to calculate the buckling load of a rectangular plate, the analytical approach is used in this study. The plate is assumed to be simply supported on four edges and loaded by uniform stresses along the edges. If the plate is slender, the buckling is elastic. However, if the plate is sturdy, it buckles in the plastic range. Then, the instantaneous moduli in the constitutive equations depend on the external loading. In this study, the elastic and plastic buckling equations are derived for rectangular plates under biaxial loading, and the corresponding interaction curves are presented. The influences of aspect ratios, load ratios and hardening factors on the buckling stresses are investigated for rectangular plates. From the plastic buckling analysis, the optimal combination of loads is given for the buckling strength.     

Elastic-plastic buckling analysis of rectangular plates subjected to biaxial loads

In order to calculate the buckling load of a rectangular plate, the analytical approach is used in this study. The plate is assumed to be simply supported on four edges and loaded by uniform stresses along the edges. If the plate is slender, the buckling is elastic. However, if the plate is sturdy, it buckles in the plastic range. Then, the instantaneous moduli in the constitutive equations depend on the external loading. In this study, the elastic and plastic buckling equations are derived for rectangular plates under biaxial loading, and the corresponding interaction curves are presented. The influences of aspect ratios, load ratios and hardening factors on the buckling stresses are investigated for rectangular plates. From the plastic buckling analysis, the optimal combination of loads is given for the buckling strength.