基于等效单层理论的钢-混组合梁动力分析方法

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (17) : 92-98.

论文

孙琪凯1,3，张楠1,3，张冰4，刘潇1,3，程泽农1，陶晓燕2,3

作者信息 +

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

SUN Qikai1,3, ZHANG Nan1,3, ZHANG Bing4, LIU Xiao1,3, CHENG Zenong1, TAO Xiaoyan2,3

Author information +

文章历史 +

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。

Abstract

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.

导出引用

孙琪凯，张楠，张冰，刘潇，程泽农，陶晓燕. 基于等效单层理论的钢-混组合梁动力分析方法[J]. 振动与冲击, 2021, 40(17): 92-98

SUN Qikai, ZHANG Nan, ZHANG Bing, LIU Xiao, CHENG Zenong, TAO Xiaoyan. Dynamic analysis method of steel-concrete composite beams based on equivalent single layer theory[J]. Journal of Vibration and Shock, 2021, 40(17): 92-98

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