波形钢腹板组合箱梁的扭转和畸变效应分析
发布时间：2018-07-13 16:44
【摘要】：波形钢腹板组合箱梁(CSW组合箱梁)作为一种新型的钢混组合梁,具有经济性、高效性、施工便利性等优点,在国内外迅速得到推广和发展。对于结构整体构造而言,波形钢腹板与混凝土顶底板由剪切连接件连接,箱梁的抗扭性能有所降低。CSW组合箱梁在荷载作用下的扭转和畸变效应是不可忽略的。本文以单箱单室直线型CSW组合箱梁作为研究对象,主要从约束扭转和畸变效应两方面对其受力性能进行研究,主要开展了以下工作。对CSW组合箱梁的约束扭转进行分析,首先假定荷载作用下CSW组合箱梁截面形状保持不变,从纯扭转理论出发,计入截面由扭转产生的剪切变形。然后利用薄壁结构中应力应变关系和翘曲应力在组合箱梁截面内满足自平衡条件,推导出有关约束扭转翘曲正应力、翘曲剪应力的计算表达式及约束扭转控制微分方程,并以扭转角、翘曲位移、翘曲双力矩和扭矩为4个初参数求解微分方程。同时,针对约束扭转问题中需要用到的CSW组合箱梁截面扭转几何特性,本文通过选取合理辅助极点,推导出扭转中心、主扇性坐标、主扇性惯性矩及主扇性静矩的简便公式,并通过数值算例验证了公式的正确性。结合算例分析简支组合箱梁跨中作用集中扭矩时翘曲双力矩沿梁长的变化,揭示了波形钢腹板倾角对截面扭转几何特性的影响及翼缘板宽度和梁高等参数变化对翘曲正应力的影响规律。对CSW组合箱梁的畸变效应进行分析,通过定义混凝土顶底板和波形钢腹板相对于畸变中心的畸变角γD为畸变位移,忽略由于畸变截面变形产生的剪切应变,建立了钢腹板与混凝土底板两部分畸变角分量之间的关系,推导出CSW组合箱梁畸变中心位置、角点应力比以及组合箱梁畸变翘曲惯性矩的计算式。基于最小势能原理,建立了畸变控制微分方程,以畸变角、畸变翘曲位移、畸变翘曲双力矩及畸变矩作为初参数,求解微分方程,并导出CSW组合箱梁畸变翘曲正应力的计算公式。对CSW组合箱梁的畸变翘曲正应力与传统混凝土箱梁结果进行对比,验证CSW组合箱梁抗扭性能降低导致其畸变效应显著。同时通过数值算例分析,验证了本文计算方法的正确性。按本文方法求得的翘曲应力值与Ansys有限元计算值及其他文献给出的计算结果吻合良好。
[Abstract]:As a new type of steel-concrete composite girder, the corrugated steel web composite box girder (CSW composite box girder) has the advantages of economy, high efficiency and convenient construction, and has been rapidly popularized and developed at home and abroad. For the whole structure, the corrugated steel web and concrete top and bottom slab are connected by shear connectors, and the torsion and distortion effects of CSW composite box girder under load can not be ignored. In this paper, single box single chamber linear CSW composite box girder is taken as the research object. The mechanical properties of CSW composite box girder are mainly studied from two aspects of constraint torsion and distortion effect. The main work is as follows. In this paper, the constrained torsion of CSW composite box girder is analyzed. Firstly, the shape of CSW composite box girder section is assumed to remain unchanged under the action of load. Based on the pure torsion theory, the shear deformation caused by torsion is taken into account. Then, using the stress-strain relation and warpage stress in thin-walled structure to satisfy the self-equilibrium condition in the section of composite box girder, the calculation expressions of constrained torsional warpage normal stress, warpage shear stress and constrained torsional control differential equation are derived. The differential equations are solved with four initial parameters: torsion angle, warpage displacement, warping double torque and torque. At the same time, aiming at the torsional geometry of CSW composite box girder used in constrained torsion problem, the simple formulas of torsional center, principal fan coordinates, principal fan moment of inertia and principal fan static moment are derived by selecting reasonable auxiliary poles. The correctness of the formula is verified by numerical examples. Combined with an example, the variation of warpage and double moment along the beam length is analyzed under the action of concentrated torque in the span of simply supported composite box girder. The influence of the inclination of the corrugated steel web on the torsional geometry characteristics of the section and the influence of the width of the flange plate and the height of the beam on the warpage normal stress are revealed. The distortion effect of CSW composite box girder is analyzed. By defining the distortion angle 纬 D of concrete top and bottom slab and corrugated steel web plate relative to the distortion center as distortion displacement, the shear strain caused by distortion section deformation is ignored. The relationship between the distortion angle components of steel web plate and concrete bottom slab is established, and the formulas for calculating the center of distortion of CSW composite box girder, the stress ratio of corner point and the distortion moment of inertia of composite box girder are derived. Based on the principle of minimum potential energy, the differential equation of distortion control is established. The differential equations are solved by taking distortion angle, distortion warping displacement, distortion warping double torque and distortion moment as initial parameters. The formula for calculating the distortion normal stress of CSW composite box girder is derived. The distortion normal stress of CSW composite box girder is compared with that of the traditional concrete box girder. It is proved that the distortion effect of CSW composite box girder is obvious due to the decrease of its torsional resistance. At the same time, the correctness of the method is verified by numerical examples. The warpage stress obtained by the method in this paper is in good agreement with the Ansys finite element method and other literatures.
【学位授予单位】：兰州交通大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：U441
本文编号：2120075
[Abstract]:As a new type of steel-concrete composite girder, the corrugated steel web composite box girder (CSW composite box girder) has the advantages of economy, high efficiency and convenient construction, and has been rapidly popularized and developed at home and abroad. For the whole structure, the corrugated steel web and concrete top and bottom slab are connected by shear connectors, and the torsion and distortion effects of CSW composite box girder under load can not be ignored. In this paper, single box single chamber linear CSW composite box girder is taken as the research object. The mechanical properties of CSW composite box girder are mainly studied from two aspects of constraint torsion and distortion effect. The main work is as follows. In this paper, the constrained torsion of CSW composite box girder is analyzed. Firstly, the shape of CSW composite box girder section is assumed to remain unchanged under the action of load. Based on the pure torsion theory, the shear deformation caused by torsion is taken into account. Then, using the stress-strain relation and warpage stress in thin-walled structure to satisfy the self-equilibrium condition in the section of composite box girder, the calculation expressions of constrained torsional warpage normal stress, warpage shear stress and constrained torsional control differential equation are derived. The differential equations are solved with four initial parameters: torsion angle, warpage displacement, warping double torque and torque. At the same time, aiming at the torsional geometry of CSW composite box girder used in constrained torsion problem, the simple formulas of torsional center, principal fan coordinates, principal fan moment of inertia and principal fan static moment are derived by selecting reasonable auxiliary poles. The correctness of the formula is verified by numerical examples. Combined with an example, the variation of warpage and double moment along the beam length is analyzed under the action of concentrated torque in the span of simply supported composite box girder. The influence of the inclination of the corrugated steel web on the torsional geometry characteristics of the section and the influence of the width of the flange plate and the height of the beam on the warpage normal stress are revealed. The distortion effect of CSW composite box girder is analyzed. By defining the distortion angle 纬 D of concrete top and bottom slab and corrugated steel web plate relative to the distortion center as distortion displacement, the shear strain caused by distortion section deformation is ignored. The relationship between the distortion angle components of steel web plate and concrete bottom slab is established, and the formulas for calculating the center of distortion of CSW composite box girder, the stress ratio of corner point and the distortion moment of inertia of composite box girder are derived. Based on the principle of minimum potential energy, the differential equation of distortion control is established. The differential equations are solved by taking distortion angle, distortion warping displacement, distortion warping double torque and distortion moment as initial parameters. The formula for calculating the distortion normal stress of CSW composite box girder is derived. The distortion normal stress of CSW composite box girder is compared with that of the traditional concrete box girder. It is proved that the distortion effect of CSW composite box girder is obvious due to the decrease of its torsional resistance. At the same time, the correctness of the method is verified by numerical examples. The warpage stress obtained by the method in this paper is in good agreement with the Ansys finite element method and other literatures.
【学位授予单位】：兰州交通大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：U441
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