具有空心圆形截面圆钢拱的平面内非线性分析

分析研究了具有空心圆形截面圆钢拱的平面内非线性性能。提出了一些设计参数,如边界条件,矢跨比和夹角对强度的影响。此外,还讨论了其他一些因素,如几何和材料非线性,初始缺陷的影响。文中提供了分析拱非线性性能的预测标准和计算其非线性屈曲荷载的公式。分析发现:初始缺陷对强度的影响主要取决于拱的柔度和缺陷尺度,当拱圈深度越大,这种相关性就越小。几何非线性的影响,主要取决于拱的深度和柔度。短粗的拱较之长细拱受到矢跨比的影响要小一些。边界条件的影响极大程度上取决于浅拱的程度和柔度。细长拱较之短粗拱其强度退化更快。     

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。     

In-plane buckling behavior of slender parabolic concrete-filled steel tubular arches with fixed ends

现有规范采用“等效梁柱法”计算长细比不超过80的钢管混凝土拱的平面内稳定承载力,而实际工程中有近20%拱桥拱肋长细比超过上述限值,即大长细比钢管混凝土拱。因此,利用ABAQUS建立了有限元分析模型,在基于现有试验数据验证模型可靠性的基础上,对大长细比抛物线形钢管混凝土无铰拱在竖向均布荷载作用下的平面内稳定性能进行了分析,研究了长细比、矢跨比、含钢率、混凝土强度和钢材强度对拱肋平面内稳定承载力的影响;基于参数分析结果,对现有平面内整体稳定系数公式进行修正,提出了大长细比抛物线形钢管混凝土拱平面内稳定承载力设计公式。结果表明：拱肋稳定承载力随长细比增大显著降低,随矢跨比和含钢率增加近似线性提高。其中,矢跨比对大长细比拱肋影响更为显著,而含钢率对采用高强钢的拱肋影响更大;所提出的设计公式计算结果与有限元分析结果吻合良好,有限元分析结果与公式预测结果比值的均值为1.02~1.08,标准差为0.039~0.051,变异系数为3.74%~4.72%。     

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。     

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。     

High strength circular concrete-filled steel tubular slender beam-columns, Part II: Fundamental behavior

There is relatively little experimental and numerical research on the fundamental behavior of high strength circular concrete-filled steel tubular (CFST) slender beam-columns. In a companion paper, a new numerical model for predicting the nonlinear inelastic behavior of high strength circular CFST slender beam-columns under axial load and bending was presented. The numerical model developed accounts for confinement effects on the strength and ductility of the concrete core and on circular steel tubes as well as initial geometric imperfections of beam-columns. This paper presents the verification of the numerical model and extensive parametric studies on the fundamental behavior of high strength circular CFST slender beam-columns. The ultimate strengths and axial load-deflection responses of circular CFST slender beam-columns under eccentric loading predicted by the numerical model are verified by corresponding experimental results. The computer program implementing the numerical model is used to investigate the fundamental behavior of high strength circular CFST slender beam-columns in terms of load-deflection responses, ultimate strengths, axial load-moment interaction diagrams, and strength increase due to concrete confinement. Parameters examined include column slenderness ratio, eccentricity ratio, concrete compressive strengths, steel yield strengths, steel ratio and concrete confinement. It is demonstrated that the numerical model developed is an efficient computer simulation and design tool for high strength circular CFST slender beam-columns. Benchmark numerical results presented in this paper are valuable in the development of composite design codes for high strength circular CFST slender beam-columns.     

In-Plane Stability of Concrete-Filled Steel Tubular Parabolic Truss Arches

For determining the in-plane buckling resistance of a concrete-filled steel tubular (CFST) arch, the current technical code GB50923-2013 specifies the use of an equivalent beam-column method which ignores the effect of rise-to-span ratio. This may induce a gap between the calculated result and actual stability capacity. In this study, a FE model is used to predict the buckling behavior of CFST truss arches subjected to uniformly distributed loads. The influence of rise-to-span ratio on the capacity of truss arches is investigated, and it is found that the stability capacity reduces as rise-to-span ratio declines. Besides, the calculations of equivalent slenderness ratio for different truss sections are made to consider the effect of shear deformation. Moreover, based on FE results, a new design equation is proposed to predict the in-plane strength of CFST parabolic truss arches under uniformly distributed loads.     

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。     

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。     

全跨荷载作用下内凹式索拱结构受力过程中刚度的变化

针对现有关于全跨荷载作用下内凹式索拱结构受力过程中整体刚度变化规律研究较为缺乏的不足,采用试验验证和有限元分析的方法对其进行深入分析。首先介绍内凹式索拱结构整体刚度的计算原则,然后依据该原则对已完成的模型试验数据进行分析。在此基础上,通过改变某一典型实例中拱和索的矢跨比、截面以及结构初始缺陷等参数,建立不同参数下考虑双重非线性的有限元分析模型,并完成相应的分析工作,证实该类结构的初始刚度主要取决于上弦拱的矢跨比和截面,而受下弦索的影响较小。模型试验和有限元分析结果均表明,当拱索矢跨比差值约小于0.055时,全跨荷载作用下该类结构荷载-位移曲线的弹性段部分将具有较明显的非线性特征。     

High strength circular concrete-filled steel tubular slender beam-columns, Part I: Numerical analysis

High strength circular concrete-filled steel tubular (CFST) slender beam-columns are frequently used in high-rise composite buildings because they possess higher strength and stiffness than normal strength ones. Most nonlinear inelastic methods of analysis for circular CFST slender beam-columns have not considered the effects of high strength materials and concrete confinement that significantly increases the strength and ductility of the concrete core. As a result, these methods produce computational solutions that deviate considerably from experimental results. This paper presents a new numerical model for predicting the nonlinear inelastic behavior of high strength circular CFST slender beam-columns under axial load and bending. The numerical model developed not only accounts for confinement effects on the concrete core and circular steel tubes but also incorporates initial geometric imperfections of beam-columns. Axial load-moment-curvature relationships obtained from the fiber element analysis of column cross-sections are utilized to determine the equilibrium states in the inelastic stability analysis of slender beam-columns. Computational algorithms are developed for determining the axial load-deflection and axial load-moment interaction curves for slender beam-columns. The numerical model is implemented in a computer program, which is shown to be an efficient and accurate simulation tool that can be used to investigate the fundamental behavior of high strength circular CFST slender beam-columns. The verification and applications of the numerical model are given in a companion paper.     

竖向荷载和水平荷载共同作用下钢管拱平面内稳定承载力设计研究

采用二阶弹塑性有限单元法对竖向荷载和水平荷载共同作用下的圆形截面两铰抛物线钢管拱的平面内稳定承载力进行研究。考虑材料非线性、残余应力、初始几何缺陷、矢跨比和长细比等因素对钢管拱平面内力稳定承载力的影响。结果表明：残余应力对其竖向承载力影响很小;初始几何缺陷会显著降低中等长细比钢管拱的承载力;矢跨比和长细比是影响钢管拱承载力的重要因素,但拱的竖向承载力并不随矢跨比和长细比的均匀变化而变化。研究竖向荷载和水平荷载共同作用下两铰抛物线钢管拱达到平面内极限状态时的N-M相关关系,并拟合两铰压弯抛物线钢拱承载力N-M相关关系统一表达式。提出了竖向荷载为全跨均布和半跨均布荷载,同时考虑水平方向荷载作用的两铰抛物线钢拱平面内整体稳定承载力设计建议,可供相关设计问题参考应用。     

Non-linear in-plane stability analysis of FG circular shallow arches under uniform radial pressure

In this paper, non-linear stability behavior of functionally graded (FG) circular shallow arches subjected to a uniform radial pressure is investigated by an analytical method. For this purpose, the classical single layer assumption is used to approximate the displacement field through the arch. Donnell׳s non-linear model for shallow shells is employed to derive the strain–displacement relations. The material properties vary smoothly through the thickness of the arch according to a power-law distribution. The governing equilibrium equations and the complete set of boundary conditions are extracted employing the principle of virtual displacements and variational calculus. Because of considerable pre-buckling deformations of shallow arches, the stability analysis is accomplished considering the pre-buckling deformations. The non-linear equilibrium paths are presented for two symmetric types of boundary conditions. Results show the influences of properties dispersion, geometrical characteristics, and boundary conditions on the stability behavior of the FG circular shallow arches. Also, the results of the paper are compared with the known data in literature.     

高强圆钢管混凝土压弯构件(1):数值分析

由于具有比普通构件强度高、刚度大等特点,高强圆钢管混凝土压弯构件被广泛用于高层建筑中。然而,针对此类构件的大多数非线性分析方法都没有考虑高强材料属性和混凝土约束的影响,这很大程度上高估了核心混凝土的强度和韧性。因此,这些方法的求解结果与试验结果相差很大。针对高强圆钢管混凝土压弯构件的非线性性能,提出新的数值模型。该模型不仅考虑了混凝土约束对核心混凝土和钢管的影响,还考虑了压弯构件的初始几何缺陷。根据通过有限元分析求得的轴力-弯矩曲线,确定压弯构件非线性稳定分析中的平衡状态。为确定轴力-变形及轴力-弯矩曲线,提出了计算准则。在计算机程序中应用该数值模型,可研究高强圆钢管混凝土压弯构件的基本性能。在后续文章中,将验证该模型的正确性,并应用此模型。     

工形截面钢拱考虑腹板局部屈曲的承载力设计方法研究

把工形截面钢拱的腹板做高做薄是提高其承载力的有效方法之一。该文采用大挠度弹塑性壳单元模型,研究焊接工形截面两铰圆弧钢拱在允许腹板局部屈曲条件下的平面内稳定承载力及其设计方法,其中考虑钢拱几何初始缺陷和残余应力的影响。首先,对钢拱在均匀轴压力作用下的承载力和破坏机理进行有限元数值分析和参数研究,考察拱截面腹板高厚比、钢拱几何长细比、截面翼缘腹板板厚比和翼缘宽厚比对钢拱稳定系数的影响。在设定的钢拱翼缘宽厚比范围内,基于大量的钢拱承载力数值分析结果,提炼出腹板高厚比和翼缘腹板板厚比组合效应的等效正则化腹板高厚比,进而获得钢拱稳定系数与等效正则化腹板高厚比以及钢拱正则化长细比之间关系的计算公式。其次,研究压弯组合作用下钢拱腹板高厚比变化对钢拱整体稳定承载力的影响,揭示钢拱压弯组合作用下的破坏机理及稳定承载力。最后通过对大量钢拱算例进行不同压弯组合工况下的极限承载力分析,提出了钢拱在一般荷载或组合荷载作用下承载力设计的计算公式。     

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。     

Ultimate capacity of battened columns composed of four equal slender angles

Cold-formed steel structural members play a great role in modern steel structures due to their high strength and light weight. The behavior and strength of battened column members composed of slender angle sections are mainly governed by local buckling of angle legs or torsional buckling of the angle between batten plates. Moreover, local buckling depends on the interaction between the width–thickness ratio of angle leg, overall slenderness ratio of angle between batten plates and overall slenderness of column. Theoretical study has been carried out by a nonlinear material and geometrical finite element model. Numerous cases of slender battened column sections having different width–thickness angle leg ratios, overall slenderness ratios between batten plates and overall slenderness ratios are chosen in this study. Complete ultimate strength curves are drawn and different failure modes are studied by taking different member lengths, which produce local or torsional buckling of single angles between batten plates or overall buckling of the member. Empirical equations for the effect of shear deformation factor and the ultimate axial load capacities of members formed of battened slender angle sections are proposed. Strengths of axially loaded battened members predicted using finite element as well as the proposed empirical equations is compared with the design strengths obtained using North American and European codes. It is concluded that the design strengths predicted by North American and European codes are generally conservative, and these design rules have been shown to be reliable using reliability analysis.     

Experimental investigation for the behaviour of battened beam-columns composed of four equal slender angles

This study presents series of compression tests on battened columns that are composed of four equal slender angles. The angles are formed by bending thin steel sheets, such that the legs outstand width–thickness ratio is slender. Twenty specimens varied in their plate element width–thickness ratio as well as covered short and medium member slenderness were tested. The angles were assembled by batten plates by means of bolts. Measurements of residual stresses and geometrical imperfections were carried out. Moreover the specimens were simulated by a finite element model using shell element that accounts for both geometric and material non-linearities. The measured geometric imperfections and residual stresses were included in the numerical model. Finally, the test results have been compared with those of non-linear finite element model, and also with the predicted ultimate strengths determined by the American and European specifications. Results show that the interaction between slender outstanding width–thickness ratios, overall angle slenderness and overall column slenderness decrease the strength of battened columns. Also, the results of bolted finite element model were in reasonably good agreement with test results that neglect the effect of bolt holes.     

Experimental investigation of load carrying capacity of the slender reinforced concrete columns wrapped with FRP

Axial compression test was conducted on 6 elliptical modified rectangular slender reinforced concrete columns wrapped with FRP, with a slenderness ratio L/b ranging between 4.5 and 17.5. The test result showed that the effect of the slenderness ratio on the load carrying capacity of FRP-wrapped concrete columns is more significant than that of ordinary reinforced concrete columns. The strengthening effect decreases with increase of the slenderness ratio. When the slenderness ratio is less than 17.5, the load carrying capacity of FRP-wrapped columns is still 20% higher than that of ordinary reinforced concrete column. The columns were then successfully analyzed with the commercial finite element software ANSYS, taking into account of the constitutive relationship of concrete reinforced with FRP, the failure criterion and the initial geometrical imperfections. The effect of the cross-sections, steel ratio and the confinement ratio is investigated and a simplified formula for the stability coefficient to facilitate design of FRP-wrapped columns is derived.     

高强度钢材轴心受压钢柱整体稳定性能的缺陷影响研究

为研究高强度钢材轴心受压构件的整体稳定受力性能,了解构件的几何初始缺陷和截面残余应力对其屈曲强度和失稳变形的影响,以及与普通强度钢材轴压杆相比高强度钢材柱的整体稳定性能对缺陷敏感性的变化,采用有限元方法进行数值模拟计算,通过变换几何初始缺陷系数、残余应力数值大小和钢材强度等参数,对计算结果进行对比分析。研究结果表明,随着钢材强度的提高,高强度钢材轴压杆的整体屈曲强度对初始缺陷的敏感性明显降低,特别是对残余应力分布的敏感性;此外,初始缺陷的影响还与构件的长细比有直接关系。研究工作进一步揭示了高强度钢材轴压柱整体稳定性能的特点和优势。