轴心受压杆件的弯扭屈曲

全面梳理了轴压杆弯扭屈曲的理论分析过程和工程应用方法。只有一个对称轴或无对称轴的截面,可能出现弯扭屈曲;当为双轴对称截面时,可能发生扭转屈曲;这时临界荷载可能小于通常的弯曲屈曲的欧拉临界荷载。根据弹性弯扭屈曲理论,GB 50017—2017《钢结构设计标准》给出了扭转屈曲和弯扭屈曲的设计公式。     

局部封闭和开口薄壁压弯构件的弯扭屈曲

单轴对称开口薄壁压弯构件在荷载作用于对称平面内时有可能发生弯扭屈曲。在这种情况下,其临界荷载总是低于平面内弯曲失稳破坏荷载,如果在构件的开口边加上缀板,使之形成若干断续的封闭截面,则弯扭屈曲临界荷载将显著提高,并有可能使破坏模式由弯扭屈曲转化为平面内弯曲失稳。本文提出了一种计算薄壁压弯构件弯扭屈曲荷载的方法,这种方法对局部封闭和开口截面都能适用。曾经做了213根具有不同长细比、偏心距、缀板间距(或无缀板)的冷弯薄壁型钢压杆试验,其结果与理论符合较好。     

纯弯曲蜂窝梁弯扭屈曲的有限元分析

为了研究蜂窝梁纯弯状态下的弯扭屈曲，笔者利用有限元软件ANSYS对两种不同截面的H形钢梁在纯弯曲时的弹性弯扭屈曲临界弯矩进行了分析，对所得到结果与理论公式计算的结果进行了比较，结果吻合的较好，这表明所选单元及计算方法的正确性。根据这一结果，笔者认为蜂窝梁在纯弯曲时的弹性弯扭屈曲临界荷载也可以采用该软件进行模拟分析。然后，对开孔率相同跨度不同以及跨度相同度开孔率不同的蜂窝梁进行了计算，并对计算结果与原型钢进行了比较分析。分析结果表明，蜂窝梁的弯扭屈曲临界弯矩略高于原型钢钢梁，其值随着开孔率的逐渐增加而降低，但是开孔率的影响并不十分明显。     

轴心压杆弯扭屈曲分析及对比

当钢构件的长细比较小而截面的抗扭及抗翘曲刚度均较低时有可能发生弯扭屈曲 ,《钢结构设计规范》(GBJ 17- 88)对这种构件均只计算其弯曲屈曲 ,对其可能发生扭转屈曲的问题没有特别的规定。鉴于此种情况给出了具体计算方法 ,并且对比分析了国外关于轴心压杆弯扭屈曲的计算方法     

剖分T型钢压杆整体失稳问题研究北大核心CSCD

H型钢剖分T型钢压杆在压力作用下,屈曲性能有如下特点:一是当沿形心纵轴受压而绕对称轴屈曲时杆件将发生弯扭变形;二是当沿剪切中心轴受压而绕对称轴屈曲时弯曲变形与扭转变形不再耦合。因此,形心受压时的屈曲荷载低于剪切中心受压时的屈曲荷载,上述结论对理想压杆是适用的。然而,对于工程中具有初弯曲、初偏心以及残余应力的剖分T型钢压杆而言,将压力由形心轴移至剪切中心轴后,整体失稳时的承载能力会降低,采用有限元建模计算剖分T型钢压杆承载力的分析结果也可证实上述结论。     

薄壁悬臂构件的弹性弯—扭屈曲作用

以往的研究表明,广泛用于分析薄壁梁的弯一扭屈曲作用的两个差异不大的具有代表性的理论,用于评估具有单轴对称横截面的简支梁的临界荷载时,会导致两种不同的解决方案。这两种解决方案可能会导致在这些单轴对称梁中出现有明显差异的临界荷载。基于屈曲分析中所采用的经典变分原理,作者提出一个新的理论,用于分析薄壁构件的弯一扭屈曲作用。文中采用了这三个理论来分析悬臂结构的弯一扭屈曲作用。首先进行简短回顾,并使用三种不同理论对薄壁悬臂结构的弯一扭屈曲作用进行详细的对比分析。在纯弯曲和两种典型的横向分布荷载作用下对悬臂结构的屈曲进行分析,表明三种理论的确存在差异。采用第三种理论,考虑梁长度的变化和沿梁横截面纵轴的加载位置,对两种典型的横向分布荷载下双向对称悬臂结构的临界荷载进行预测,与现有解决方案和有限元分析所得到的关键结果进行对比,可知将新方法具有：良好的准确性和易用性等优点。     

两端铰接楔形压弯杆平面外稳定

用有限元方法计算楔形压杆的平面外屈曲荷载 ,并按能量法推导出表达式 ,对系数进行修正 ,得到物理意义明确 ,精度较高的扭转、弯扭屈曲荷载表达式 ,该公式形式与等截面压弯杆屈曲荷载的计算公式类似。最后还给出梁柱P -M关系 ,以便于在工程中应用。     

初始扭转轴压杆弯曲屈曲性能有限元验证分析

通过对初始扭转轴压杆弹性弯曲屈曲性能的研究表明:初始扭转轴压杆弹性弯曲屈曲位移在两截面主轴平面上相互耦合.初始扭转角使得强轴对压杆绕弱轴的屈曲位移产生"抵抗"作用,从而提高了杆的弹性弯曲屈曲临界荷载.以有限元法对初始扭转角不同的轴压杆进行参数分析表明,弹性弯曲屈曲变形后,其位移曲线是一条空间曲线,随着初始扭转角的增加,屈曲后位移曲线偏离同一平面的幅度变大.     

纯弯曲蜂窝梁弯扭屈曲的有限元分析

为了研究蜂窝梁纯弯状态下的弯扭屈曲,笔者利用有限元软件ANSYS对两种不同截面的H形钢梁在纯弯曲时的弹性弯扭屈曲临界弯矩进行了分析,对所得到结果与理论公式计算的结果进行了比较,结果吻合的较好,这表明所选单元及计算方法的正确性。根据这一结果,笔者认为蜂窝梁在纯弯曲时的弹性弯扭屈曲临界荷载也可以采用该软件进行模拟分析。然后,对开孔率相同跨度不同以及跨度相同度开孔率不同的蜂窝梁进行了计算,并对计算结果与原型钢进行了比较分析。分析结果表明,蜂窝梁的弯扭屈曲临界弯矩略高于原型钢钢梁,其值随着开孔率的逐渐增加而降低,但是开孔率的影响并不十分明显。     

偏心受压铝合金构件稳定的试验研究

以长细比和荷载偏心率为主要参数,测试了19个H形截面铝合金挤压型材偏心受压试件的稳定承载力,13个试件在受弯平面内发生了整体弯曲屈曲,6个试件在受弯平面外发生了弯扭屈曲。对试验结果进行了分析,并将试验结果与国家标准《铝合金结构设计规范》(报批稿)以及《欧洲铝合金结构设计规范》(EN9)进行了比较。研究表明,对于弯曲屈曲两规范与试验结果均吻合较好,对于弯扭屈曲两规范都偏于安全,且两种情况下我国规范与试验结果均更为接近。     

Prototype test on X-bracing panels using cold-formed lipped angles

The behavior and suitability of cold-formed lipped angle members for X-bracing with redundant have been studied. For the purpose, two full-scale panel tests were carried out. The first panel was designed so that the compression member would fail by buckling in flexural mode and the second panel in flexural-torsional mode. The members were designed using ASCE Manual No. 52. Theoretical aspects of least radius of gyration and buckling behavior of this bracing system have been discussed. The investigation on first panel, revealed that the member would buckle only in the flexural-torsional mode although flexural buckling would govern the design. The second panel test result showed that, the buckling mode and strength of the system for lipped angle sections can be predicted reasonably well.     

Flexural-torsional buckling of shallow arches with open thin-walled section under uniform radial loads

An arch with an open thin-walled section that is subjected to a radial load uniformly distributed around the arch axis may suddenly buckle out of its plane of loading and fail in a flexural-torsional buckling mode. The classical flexural-torsional buckling load for an arch with an open thin-walled section under a uniform radial load has been obtained by a number of researchers, based on the consideration that the uniform radial load produces a uniform axial compressive force without in-plane bending prior to the occurrence of flexural-torsional buckling. This assumption is correct for deep arches. However, the uniform radial load may produce substantial bending actions in shallow arches prior to flexural-torsional buckling, and so the classical buckling analysis based on the assumption of uniform axial compression may produce incorrect flexural-torsional buckling loads for shallow arches. This paper investigates the flexural-torsional buckling of shallow arches with an open thin-walled section that are subjected to a radial load uniformly distributed around the arch axis. It is found that shallow arches under a uniform radial load are subjected to combined in-plane compressive and bending actions prior to flexural-torsional buckling, and that using the classical buckling solution for circular arches under uniform compression produces incorrect buckling loads for shallow arches. A rational finite element model is developed for the flexural-torsional buckling and postbuckling analysis of shallow arches with an open thin-walled section, which allows the buckling loads to be obtained correctly.     

单角钢轴压杆件弹性和非弹性稳定承载力

热轧角钢有等边和不等边两种类型。由于截面对称性方面的差异,两类角钢在承受轴压力时,性能有明显差别。针对等边角钢在非弹性范围的受压承载力由弱轴弯曲屈曲控制还是强轴弯扭屈曲控制这一问题进行了分析,结果表明：在非弹性范围和弹性范围一样,杆件失效时呈弯曲屈曲,对于宽厚比较大的高强度角钢,需要计及局部屈曲效应。不等边角钢压杆失效时总是呈弯扭屈曲,其临界力计算比较复杂。通过计算分析,得出了把问题转化为按弯曲屈曲分析的等效长细比的方法。此法既适用于弹性范围,也适用于非弹性范围。和现有试验资料对比表明,文中的等边和不等边角钢轴压杆件的计算方法,都可用于设计工作。     

单轴对称截面圆弧拱弹性弯扭屈曲临界荷载

为了研究均布径向压力作用下的单轴对称截面均匀受压圆弧拱的弹性弯扭屈曲临界荷载,为一般荷载作用下压弯钢拱的稳定承载力设计奠定基础,采用平衡法推导得到了均匀受压圆弧拱的面外屈曲临界荷载的理论解.在微元段受力平衡的基础上,建立了任意轴线形状、截面形式的曲线构件的平衡方程,代入截面变形条件、内力与变形条件推导出了单轴对称截面均...     

Mode interaction in thin-walled equal-leg angle columns

This paper presents and discusses numerical results, obtained through Ansys shell finite element analyses, dealing with the post-buckling behaviour (mostly elastic, but also elastic–plastic), ultimate strength and failure mode nature of fixed-ended and pin-ended thin-walled equal-leg angle steel columns with coincident critical flexural-torsional and minor-axis flexural buckling loads (i.e., experiencing very strong coupling effects between these two global instability phenomena) – for comparative purposes, columns that are buckling in pure flexural-torsional and flexural modes are also analysed. Since the main aim of the work is to investigate the column imperfection-sensitivity, the analyses concern otherwise identical columns containing initial geometrical imperfections with different shapes and amplitudes, combining the competing critical buckling modes – particular attention is paid to the sign of the minor-axis flexural component. The results reported consist of column (i) elastic equilibrium paths and the corresponding peak loads and deformed configurations and (ii) elastic–plastic collapse loads and mechanisms, making it possible to assess how they are influenced by the initial geometrical imperfections.     

不锈钢受弯构件的试验研究

采用国产的304牌号不锈钢,针对冷成型SHS、RHS和焊接工字钢截面,11种不同截面规格,共39根受弯构件,进行受弯构件试验研究。考察两端简支不锈钢梁在不同的加载方式和腹板约束条件下的极限承载力和破坏形式。通过试验发现:两端简支不锈钢冷成型SHS、RHS梁在集中荷载作用下根据加载方式和腹板约束条件的不同,主要有3种破坏形式,即整体弯曲破坏、腹板压屈破坏、两者耦合破坏。两端简支不锈钢焊接工字形梁在集中荷载作用下以发生弯扭失稳为主。在对两端简支不锈钢梁截面的抗弯强度、非线性挠度以及平面外稳定等受力性能分析的基础上,将试验结果与欧洲不锈钢设计规范(EN1993-1-4)和美国不锈钢设计规范(SEI/ASCE 8-02)进行对比分析。对比结果表明:试验得到的构件抗弯强度和平面外稳定承载能力均高于上述规范计算值,规范偏于保守;按上述规范计算得到的挠度小于试验值,规范偏于不安全。     

单轴对称截面轴心受压构件的弯扭屈曲设计问题

阐述单轴对称截面轴心受压构件弯曲屈曲和弯扭屈曲两种失稳形式,以及绕截面对称轴弯扭屈曲换算长细比的计算方法和应用实例。     

Elastic flexural-torsional buckling of thin-walled cantilevers

Previous studies by the authors revealed that the two representative theories with slight differences between, widely used in investigating the flexural-torsional buckling of thin-walled beams, have led to two different solutions in well-known literature for assessing critical loads of simply supported beams of monosymmetric cross section. With these two solutions, significant differences in critical loads may be found for these monosymmetric beams. Based on the classical variational principle for buckling analyses, a new theory on the flexural-torsional buckling of thin-walled members was proposed by the authors. In this paper, this new theory as well as the other two typical theories is employed to investigate the flexural-torsional buckling of cantilevers.This paper first gives a brief review and a careful comparative study on the flexural-torsional buckling of thin-walled cantilevers employing three different buckling theories. Differences between these theories are demonstrated with investigations on buckling of cantilevers under pure bending and two typical transverse loads. Explicit solutions, capable of considering variations of beam length and loading position along the vertical axis of cross section, are presented for predicting the critical loads of doubly symmetric cantilevers under two typical transverse loads. Advantages of presented solutions, such as good accuracy and ease of use, are exploited through the comparisons of critical results with those from existing solutions and finite element analyses.     

钢构件整体稳定直接分析法研究现状及展望

钢构件整体稳定设计的基础理论不仅是结构设计的依据,也是钢结构直接分析法发展和完善的重要基础。以轴压构件、受弯构件和压弯构件为研究对象,对中国、美国、欧洲现行钢结构设计标准GB 50017—2017、ANSI/AISC 360-16、EN 1993-1-1: 2005中钢构件整体稳定(弯曲失稳、扭转失稳、弯扭失稳)设计的基础理论进行了归纳与总结。基于初弯曲轴压构件弯曲失稳设计的基础理论,揭示了初始几何缺陷对钢构件整体稳定的分析过程和分析结果的影响。从完整的步骤、完备的表达式两方面归纳了钢构件整体稳定的构件直接分析法的应用情况。并就轴压构件、受弯构件以及压弯构件整体稳定的构件直接分析法的研究现状进行了分析,指出了存在的问题,并对后续研究进行了展望。     

Flexural-torsional buckling behavior of aluminum alloy beams

This paper presents an investigation on the flexural-torsional buckling behavior of aluminum alloy beams (AAB). First, based on the tests of 14 aluminum alloy beams under concentrated loads, the failure pattern, load-deformation curves, bearing capacity and flexural-torsional buckling factor are studied. It is found that all the beam specimens collapsed in the flexural-torsional buckling with excessive deformation pattern. Moreover, the span, loading location and slenderness ratio influence the flexural-torsional buckling capacity of beams significantly. Secondly, besides the experiments, a finite element method (FEM) analysis on the flexural-torsional buckling behavior of AAB is also conducted. The main parameters in the FEM analysis are initial imperfection, material property, cross-section and loading scheme. According to the analytical results, it is indicated that the FEM is reasonable to capture mechanical behavior of AAB. Finally, on the basis of the experimental and analytical results, theoretical formulae to estimate the flexural-torsional buckling capacity of AAB are proposed, which could improve the application of present codes for AAB.