基于等效单层理论的钢-混组合梁动力分析方法  

Dynamic analysis method of steel-concrete composite beams based on equivalent single layer theory

作　　者：孙琪凯 张楠[1,3] 张冰 刘潇 程泽农 陶晓燕 SUN Qikai;ZHANG Nan;ZHANG Bing;LIU Xiao;CHENG Zenong;TAO Xiaoyan(School of Civil Engineering,Beijing Jiaotong University,Beijing 100044,China;Railway Engineering Research Institute,China Academy of Railway Sciences Co.,Ltd.,Beijing 100081,China;State Key Lab for Track Technology of High-Speed Railway,Beijing 100081,China;Urban Rail Transit Design and Research Institute,China Railway Engineering Consulting Group Co.,Ltd.,Beijing 100055,China)

机构地区：[1]北京交通大学土木建筑工程学院,北京100044 [2]中国铁道科学研究院集团有限公司铁道建筑研究所,北京100081 [3]高速铁路轨道技术国家重点实验室,北京100081 [4]中铁工程设计咨询集团有限公司城市轨道交通设计研究院,北京100055

出　　处：《振动与冲击》2021年第17期92-98,共7页Journal of Vibration and Shock

基　　金：中央高校基本科研业务费专项资金资助(2020JBM121);高速铁路轨道技术国家重点实验室开放课题基金项目(2018Y179)。

摘　　要：基于Reddy高阶梁理论和黏结滑移理论,提出了钢-混组合梁动力分析的等效单层理论有限元计算模型。模型中考虑了混凝土板与钢梁之间的剪切滑移和各子梁剪切变形的影响。钢-混组合梁的轴向位移沿梁高假定为三阶函数,从而可以更加准确的模拟剪切应力的抛物线变化。该计算模型的优点是预先在构建的组合梁高阶位移场中考虑了子梁间的剪力连续性和上下表面无剪应力条件,使得到的等效单层位移场函数中不包含横向位移的一阶导数,从而在有限元计算时只需要使用C^(0)连续的插值函数。最后,通过与已发表的论文中数值结果对比,说明了该计算模型的合理性、适用范围和计算精度。结果表明:等效单层理论可适用于分析钢-混组合梁的自振特性,具有较高的计算精度;且高跨比越大,该计算模型的优势越明显。Here,based on Reddy’s higher-order beam theory and bond slip theory,an equivalent single-layer theoretical finite element model for dynamic analysis of steel-concrete composite beam was proposed considering effects of shear slip between concrete slab and steel beam and shear deformation of each sub-beam.Axial displacement of steel-concrete composite beam was assumed to be a third-order function along beam height so as to more accurately simulate parabolic curve change of shear stress.The advantage of this calculation model was considering in advance the shear continuity between sub-beams and the condition of no shear stress on beam’s upper and lower surfaces in the constructed high-order displacement field of steel-concrete composite beam to make the equivalent single-layer displacement field function exclude the first-order derivative of beam transverse displacement,thus only C^(0) continuous interpolation function was needed in finite element calculation.Finally,by comparing with the numerical results in published papers,the rationality,applicable range and calculation accuracy of the proposed model were illustrated.The results showed that the equivalent single-layer theory can be used to analyze natural vibration characteristics of steel-concrete composite beam with higher calculation accuracy;the larger the ratio of height to span,the more obvious the advantage of the model.

关 键 词：钢-混组合梁 等效单层理论 C^(0)连续插值函数 相对滑移 动力分析 

分 类 号：U441.3[建筑科学—桥梁与隧道工程] U24[交通运输工程—道路与铁道工程]