考虑剪切变形影响的新型波形钢腹板组合箱梁挠度计算  

Deflection calculation of new corrugated steel web composite box girder considering shear deformation

作　　者：蔡明昊 刘世忠[1] 王志鲲 张建功 CAI Ming-hao;LIU Shi-zhong;WANG Zhi-kun;ZHANG Jian-gong(School of Civil Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China;CR21 Group Electric and Electrification Engineering Co.,Ltd,Lanzhou 730030,China;China 17 Metallurgical Group Limited Beijing Engineering Design Branch Company,Beijing 102218,China)

机构地区：[1]兰州交通大学土木工程学院,兰州730070 [2]中铁二十一局集团电务电化工程有限公司,兰州730030 [3]中国十七冶集团有限公司北京工程设计分公司,北京102218

出　　处：《计算力学学报》2025年第1期115-121,138,共8页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(52268027,51868040)资助项目。

摘　　要：为得到求解精度高且简便高效的新型波形钢腹板组合箱梁,考虑全截面剪切变形影响的挠度计算方法。以分析新型波形钢腹板组合箱梁箱壁剪应力分布特点入手,利用虚功原理,并引入考虑全截影响的剪切形式因子,将组合箱梁挠度分离为Euler梁理论挠度与考虑全截面剪切变形的附加挠度,基于能量变分原理建立了全截面剪切变形附加挠度的表达式。制作了新型波形钢腹板组合箱梁实桥缩尺模型,进行了组合梁受集中荷载和均布荷载试验,并运用ANSYS有限元软件建立了组合梁空间有限元模型进行对比分析。试验结果与空间有限元计算结果验证了理论公式的正确性。参数分析表明,剪切变形对新型波形钢腹板组合箱梁挠度影响较大,相对于组合梁翼板,波形钢腹板剪切变形的影响更加突出;翼板剪切附加挠度随高跨比的增大而减小,但始终小于波形钢腹板剪切附加挠度;波形钢腹板剪切附加挠度随着宽跨比的减小而减小,当宽跨比小于0.2时,可忽略波形钢腹板剪切变形的影响。In order to obtain a simple and efficient method for deflection calculation of a new type of corrugated steel web composite box girders at high accuracy,the effect of shear deformation of the whole cross-section is considered.Based on the analysis of the distribution characteristics of shear stress on the wall of the box girder,its deflection is divided into the Euler beam theoretical deflection and an additional deflection considering the shear deformation of the full section by using the principle of virtual work and the shear form factor considering the effect of full section.Based on the variational energy principle,the expression of the additional deflection of the full section is established.The scale model of the composite box girder with a new type of corrugated steel web was made,the concentrated load and uniform load tests were carried out,and the finite element model of the composite girder was established by ANSYSY finite element software for comparative analysis.The correctness of the theoretical formula is verified by the experimental results and the finite element calculation results.The parameter analysis shows that the shear deformation has a greater effect on the deflection of the composite box girder with corrugated steel web than that of the composite girder wing plate.The shear additional deflection of the wing plate decreases with the increase of the height-span ratio,but it is always smaller than that of the corrugated steel web plate.The additional shear deflection of corrugated steel web decreases with the decrease of width span ratio.When the width span ratio is less than 0.2,the influence of shear deformation of corrugated steel web can be ignored.

关 键 词：桥梁工程 波形钢腹板组合箱梁 剪切附加挠度 虚功原理 剪切形式因子 

分 类 号：U448.213[建筑科学—桥梁与隧道工程] O302[交通运输工程—道路与铁道工程]