实腹圆弧钢拱的平面内稳定极限承载力设计理论及方法

拱的平面内稳定极限承载力设计一直没有成熟的规范指导。本文用有限壳单元模型先分析了工形截面两铰圆弧钢拱的平面内弹性屈曲性能,与拱的经典屈曲理论作了对比,指出了必须同时考虑长细比和矢跨比对屈曲荷载的影响。然后分析了两铰圆弧钢拱受静水压力和其它荷载作用下的弹塑性屈曲性能,指出了典型破坏机理为拱两侧1/4跨附近形成塑性铰导致结构失效。利用拱的弹性屈曲荷载定义了拱的正则化长细比,用Perry-Robertson公式的形式,建立了拱的稳定系数与正则化长细比的关系,提出了受静水压力的两铰圆弧钢拱的平面内稳定极限承载力设计方法,并用轴力和弯矩的两项相关公式提出了受其它荷载作用下的平面内稳定极限承载力设计方法。     

受弯圆弧拱平面外稳定承载力分析

为建立压弯钢拱平面外稳定承载力设计方法,对承受弯矩作用的受弯圆弧拱的稳定承载力进行系统研究,考察弯矩对其面外稳定的影响。采用有限元分析方法,考虑截面形式、初始几何缺陷、残余应力、矢跨比、拱脚条件及端弯矩比例的影响。首先针对均匀正弯矩作用,基于正则化长细比给出了焊接工形截面、焊接箱形截面及热轧圆管截面拱的平面外稳定曲线;之后对于不同比例的端弯矩作用下不均匀受弯情况,提出了平面外稳定承载力计算的等效正则化长细比法和等效弯矩系数法,为压弯圆弧拱设计方法的建立奠定基础。研究表明：采用正则化长细比,均匀正弯矩作用下圆弧拱的平面外稳定系数可采用与直梁类似的平面外稳定曲线;不等端弯矩作用的情况需引入等效正则化长细比或等效弯矩系数,以考虑弯矩梯度和负弯矩作用的影响;提出的两种平面外稳定承载力计算方法与大挠度弹塑性有限元分析结果吻合较好。     

纯压圆弧形钢管桁架拱平面内稳定性能及设计方法

目前针对钢管桁架拱平面内稳定性能及承载力的研究较少,缺少相应的设计方法。提出了钢管桁架拱截面剪切刚度表达式,考虑剪切变形的影响推导了纯压两铰圆弧桁架拱屈曲荷载的简化计算公式以及换算长细比表达式。基于有限元方法,全面分析了截面高宽比、矢跨比、腹杆夹角及腹杆截面尺寸等不同参数对平面桁架拱和空间桁架拱弹性屈曲性能的影响,结果表明采用简化公式与有限元分析结果吻合良好。借鉴实腹拱和格构柱的稳定设计方法,采用大挠度弹塑性有限元法系统研究了平面及空间纯压桁架拱的相关稳定承载力,发现节间弦杆长细比与桁架拱整体长细比的比值是衡量局部稳定对整体稳定影响的关键参数,在此基础上提炼出纯压桁架拱的相关作用影响系数,并拟合得到了纯压桁架拱的稳定设计曲线,从而为一般荷载作用下压弯桁架拱的稳定承载力的设计奠定了基础。     

均匀受压圆弧拱平面外弹塑性稳定设计方法

作为建立压弯钢拱平面外稳定承载力设计方法的第一步,综合考虑拱截面形式、初始几何缺陷、残余应力、矢跨比及拱脚条件的影响,通过弹塑性有限元分析,对均匀受压圆弧拱的平面外稳定承载力进行了数值分析,获得了平面外稳定设计曲线。研究表明：保向力作用下钢拱的平面外初始刚度及稳定承载力明显低于向心力作用下的相应结果,是一种较为不利的工况;相比几何初始缺陷和残余应力,矢跨比和拱脚条件对均匀受压圆弧拱平面外稳定承载力影响较大;通过引入拱正则化长细比,统一了不同矢跨比和拱脚条件的均匀受压圆弧拱的平面外稳定设计曲线的表达式;对于热轧圆钢管截面、焊接箱形截面、焊接工字形截面圆弧拱,可以采用GB 50017-2003《钢结构设计规范》中的b类、c类和d类截面的柱子曲线计算其平面外稳定承载力。     

U形截面圆弧拱平面外稳定性研究

用BEAM 188梁单元和SHELL 181壳单元建立了两种可考虑荷载作用位置的有限元模型,相互验证了模型的正确性.通过对两种荷载模式下U形截面无铰和两铰圆弧拱计算结果的比较,研究了支座类型、荷载模式和矢跨比对钢拱平面外屈曲的影响.对于理想的支座约束,发现径向均布荷载作用下两铰拱平面外屈曲荷载与无铰拱相同,竖向均布荷载作用下两铰拱平面外屈曲荷载在较大矢跨比时明显高于无铰拱;由于两铰与无铰拱的支座构造不同,满足什么条件平面外约束可按无铰对待有待研究.通过对加缀板与加隔板U形截面两铰圆弧拱平面外屈曲荷载的比较,发现加缀板形成间断闭合截面对屈曲荷载提高更显著,且用料少、施工简单.     

纯压抛物线拱平面内稳定性及设计方法研究

采用大挠度弹塑性有限单元法对全跨竖向均布荷载作用下纯压抛物线拱平面内稳定承载力进行研究,考虑材料非线性、焊接残余应力、初始几何缺陷、矢跨比和支承条件等因素的影响,得到了热轧圆管截面、焊接工字形截面和焊接箱形截面纯压三铰、两铰和无铰抛物线钢拱的平面内稳定性设计曲线,给出纯压抛物线钢拱的平面内稳定设计公式。以拱的正则化长细比为基本参数,统一了三铰、两铰和无铰纯压抛物线钢拱的平面内稳定设计曲线,可用于全跨竖向均布荷载作用下纯压抛物线钢拱的平面内稳定性设计,同时可供实际设计时使用和制定有关规程时参考。     

腹板开洞钢拱的平面内稳定极限承载力设计理论及方法

腹板开洞钢拱组合了拱和开洞构件的特性,目前在轻轨列车站篷及航站楼等的钢结构中有广泛应用。本文首先用有限壳单元分析了以工形截面腹板开洞圆弧钢拱为代表的拱的平面内弹性屈曲性能,考察了腹板孔洞的几何参数和拱本身的几何参数对屈曲荷载的影响;按照整体屈曲荷载的等效原则,把腹板开洞拱等效为由两个T形截面和缀板组成的格构式构件,并给出了格构式构件的等效截面尺寸。然后研究了各参数下的腹板开洞钢拱的弹塑性屈曲性能,定量考察了孔洞对稳定极限承载力的削弱作用,提出了腹板开洞钢拱特有的单边塑性铰的破坏机理。利用已经建立的拱的稳定系数与拱的正则化长细比的关系,根据等效构件的换算长细比,提出了受静水压力及其它荷载分布形式的腹板开洞拱的平面内稳定极限承载力设计方法。     

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...     

压弯圆弧拱平面外稳定承载力设计方法

在均匀受压及受弯圆弧拱平面外稳定设计理论成果的基础上，采用大挠度弹塑性有限元分析方法，对压弯圆弧拱的平面外稳定承载力进行研究；考虑了钢拱几何参数、拱脚条件、截面形式、荷载组合等因素的影响，以有限元算例为依据，建立了压弯圆弧拱平面外稳定承载力的实用设计方法。研究表明：从圆弧拱的内力分布角度出发，通过引入轴力平均值、拱中段1/3弧长范围内最大弯矩以及考虑弯矩不均匀变化的受弯稳定系数等参数，建立基于稳定承载力N-M相关公式，在各种拱脚条件及复杂荷载组合工况下均具有较好的适用性。     

均匀受压工字型等截面三铰圆弧钢拱的平面内稳定性和极限强度

采用大挠度弹塑性有限单元法对均匀受压等截面三铰圆弧钢拱的平面内稳定性和极限强度进行研究,考虑了材料非线性、残余应力、初始几何缺陷和矢跨比的影响,得到了均匀受压工字型等截面三铰圆弧钢拱的平面内稳定性设计曲线,并与国内外钢结构设计规范轴心受压构件的稳定曲线进行了对比,得出了轴心受压构件的稳定曲线不能直接用于拱的稳定性设计的重要结论。     

实腹式等截面纯压钢拱的平面内弹性屈曲系数

利用有限单元法对静水压力作用下的圆弧钢拱、沿水平轴分布的竖向均布荷载作用下的抛物线钢拱、沿拱轴线分布的竖向均布荷载作用下的悬链线拱的平面内弹性屈曲进行研究,考虑了屈曲前变形、剪切变形及长细比的影响。得到了三铰拱、两铰拱、固定拱的弹性屈曲系数的数值解。对数值解与传统的经典解进行了对比分析,数值解具有更高的精度。计算结果表明,长细比大约在20~50的范围内时,经典解具有很大的误差,用屈曲系数经典解得到的计算长度系数来进行这类纯压拱的平面内稳定性设计将非常不安全。     

In-plane stability and shear deformation analysis of the H-beam hollow arch

H-shaped circular arc is a relatively novel type of open-web steel arch, and currently, no reports have been published concerning its in-plane stability. In this paper, the elastic and elastic–plastic in-plane stability of the H-shaped hollow circular arch is studied by theoretical deduction combined with numerical simulation. First, the overall shear rigidity of the H-shaped circular arch is calculated, and the elastic buckling load formula of the arch is proposed and verified considering double shear deformation under full-span radial and uniform loading. The overall elastic buckling load deduced in this paper is reasonable according to the finite element analysis. The results indicate that the influence of shear deformation on the overall elastic buckling load of the arch decreases with the increase of the span length. The arch-bearing capacity is the largest when the rise-span ratio is 0.25. Second, the restriction conditions necessary for avoiding local buckling of the chordal web before integral buckling of the H-shaped steel hollow circular arch are analyzed. Finally, the elastic–plastic failure mechanism of the H-shaped arch under full-span radial and uniform loading is examined, and the formula for determining the ultimate bearing capacity that is achievable before failure under full-span radial and uniform loading is proposed. ANSYS analysis shows that under the radial uniform loading, the chordal bars will yield near 1/4L and 3/4L, and ultimately, the structural failure of the lower chord occurs in the vicinity of 1/4L. The formulas presented in this paper agree well with the results obtained from the finite element analysis and can be used as a reference for engineering applications.     

Design rules for out-of-plane stability of roller bent steel arches with FEM

This paper describes a numerical investigation into the out-of-plane buckling behavior of freestanding roller bent steel arches. As roller bent arches have structural imperfections which differ considerably from those of hot-rolled or welded sections, specific attention is paid to their inclusion in the numerical model. Sensitivity analyses are performed to assess the influence of the imperfections due to roller bending on the out-of-plane buckling response. The accuracy of the finite element model is checked by comparing the results with earlier performed experiments as presented in a related paper. The finite element model is able to replicate the structural behavior displayed by the experiments with good accuracy. A database is created with elastic–plastic buckling loads for a large number of freestanding roller bent arches. The numerical data is analyzed and presented in a so-called imperfection parameter diagram from which imperfection parameter curves are derived. The imperfection parameter curves are substituted into the European column curve formulation, leaving the original column curve formulation unaffected but extending its applicability to the out-of-plane buckling response of roller bent arches. The column curve with proposed imperfection parameter expressions can be used to check the out-of-plane buckling response of a roller bent steel arch with known non-dimensional slenderness.     

Out-of-plane elastic buckling load and strength design of space truss arch with a rectangular section

The out-of-plane stability of the two-hinged space truss circular arch with a rectangular section is theoretically and numerically investigated in this paper. Firstly, the flexural stiffness and torsional stiffness of space truss arches are deduced. The calculation formula of out-of-plane elastic buckling loads of the space truss arch is derived based on the classical solution of out-of-plane flexural-torsional buckling loads of the solid web arch. However, since the classical solution cannot be used for the calculation of the arch with a small rise-span ratio, the formula for out-of-plane elastic buckling loads of space truss arches subjected to end bending moments is modified. Numerical research of the out-of-plane stability of space truss arches under different load cases shows that the theoretical formula proposed in this paper has good accuracy. Secondly, the design formulas to predict the out-of-plane elastoplastic stability strength of space truss arches subjected to the end bending moment and radial uniform load are presented through introducing a normalized slenderness ratio. By assuming that all components of space truss circular arches bear only axial force, the design formulas to prevent the local buckling of chord and transverse tubes are deduced. Finally, the bearing capacity design equations of space truss arches are proposed under vertical uniform load.     

钢拱的平面外稳定性分析

给出了钢拱在一般荷载作用下的压弯相关公式,并通过对荷载条件、圆心角、不同截面放置方式等影响参数进行分析,验证了相关公式的安全性和适用性.     

我国拱形钢结构设计理论研究现状与展望

结合我国JGJ/T 249-2011《拱形钢结构技术规程》的颁布,对拱形钢结构设计、计算及施工中的关键问题如受力性能、结构选型、稳定性能及加工制作等方面进行了阐述。研究表明：与梁柱等直构件相比,拱形钢结构的设计理论、特别是稳定设计方法更为复杂,其受力和工作机理受拱轴线形式、跨度、矢跨比、拱脚边界条件、截面形式、荷载形式及组合、面外支撑条件等诸多因素影响。拱形钢结构平面内失稳对荷载和变形的非对称初始缺陷较为敏感,对于钢管桁架拱必须考虑弦杆局部失稳对整体稳定承载力的削弱作用;平面外弯扭失稳时,变形及受力复杂,其稳定承载力受拱脚、荷载条件及支撑布置影响显著;初步建立平面内稳定设计方法并在规程中予以体现,包括实腹式截面拱（含腹板开孔钢拱）、钢管桁架拱以及钢管混凝土拱等结构形式;平面外稳定性及面外支撑设计是拱形钢结构设计理论的重要组成部分,在规程中还有待进一步补充和完善。