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变截面波形钢腹板弹性整体屈曲计算及几何参数分析

2021-09-13冀伟,马建红

湖南大学学报·自然科学版 2021年11期

冀伟,马建红

摘   要:為研究变截面波形钢腹板的抗剪性能,首先,在正交异性板理论和薄板小挠度理论的基础上,运用伽辽金法对波形钢腹板弹性整体剪切屈曲强度的计算公式进行推导;其次,将推导公式计算值与ANSYS有限元计算值及规范公式计算值进行对比分析,并将公式推导值与文献试验值进行对比;最后,运用有限元法研究不同波纹型号、腹板厚度和梁高变化形式对变截面波形钢腹板弹性剪切屈曲性能的影响规律. 结果表明:推导公式计算值与有限元值试验值吻合良好,规范公式由于忽略了扭转刚度Dxy对波形钢腹板整体剪切屈曲强度的贡献,规范值计算偏于保守;随着波纹尺寸的增加,剪切屈曲强度总体呈先增大后减小的趋势,其中1600型波形钢腹板的抗剪性能达到最大;随着腹板厚度的增加,剪切屈曲强度逐渐增大;变截面波形钢腹板的剪切屈曲强度大于等截面波形钢腹板的抗剪强度,并且随着梁底与水平方向的夹角β的增大,变截面波形钢腹板剪切屈曲强度增加. 所得结论可为变截面波形钢腹板的抗剪设计提供参考依据.

关键词:变截面;波形钢腹板;弹性整体屈曲;伽辽金法;小挠度理论;正交异性板

中图分类号:U448.21                                文献标志码:A

Elastic Global Buckling Calculation and Geometric Parameter

Analysis of Corrugated Steel Webs with Variable Section

JI Wei?覮,MA Jianhong

(College of Civil Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

Abstract:In order to study the shear performance of variable cross-section corrugated steel webs, firstly, based on the theory of orthotropic plate and the theory of small deflection of thin plate, the calculation formula of elastic overall shear buckling strength of corrugated steel webs is deduced by Galerkin method. Secondly, the calculation value of the derived formula is compared with those of ANSYS finite element and code formula. Moreover, the derived value of the formula is also compared with the experimental value in the literature. Finally, the influence of different types of corrugations, web thickness and girder height on the elastic shear buckling behavior of variable cross-section corrugated steel web is studied by using the finite element method. The results show that the calculated value of the derived formula is in good agreement with that of the finite element method and test value. Because the contribution of Dxy to the global shear buckling strength of the corrugated steel web is ignored in the specifications formula, the calculation of the value of the specifications is more conservative. With the increase of the corrugated size, the shear buckling strength generally increases first and then decreases, where the shear performance of the 1600 corrugated steel web reaches the maximum. With the increase of the web thickness, the shear buckling strength increases gradually. The shear buckling strength of the variable section corrugated steel web is greater than that of the constant section corrugated steel web. With the increase of the angle β between the girder bottom and the horizontal direction, the shear buckling strength of the variable section corrugated steel web increases. The conclusion can provide a reference for the shear design of the same type of bridge.

Key words:variable cross-section;corrugated steel web;elastic global buckling;Galerkin method;small deflection theory;orthotropic plate

波形鋼腹板-混凝土组合箱梁采用波形钢腹板代替了混凝土箱梁的混凝土腹板,不仅减轻了桥梁上部结构的重量,而且改善了混凝土腹板易开裂的通病,提高了桥梁的跨越能……

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