波形腹板钢箱‑混凝土组合梁桥的自振特性分析
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U441+.3; TH113.1

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国家自然科学基金资助项目(51708269,51868039);甘肃省住房和城乡建设厅科研资助项目(JK2018?46,JK2020?21);甘肃省科技重点研发计划资助项目(20YF3FA039);兰州交通大学“百名青年优秀人才培养计划”基金资助项目


Analysis of Natural Vibration Characteristics of Corrugated Web Steel Box⁃Concrete Composite Girder Bridge
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    摘要:

    为了获得波形腹板钢箱?混凝土组合梁桥振动频率的简化计算方法,首先,在综合考虑箱梁的剪力滞效应和波形钢腹板剪切变形效应的基础上,运用势能驻值原理推导出波形腹板钢箱?混凝土组合梁桥的单元刚度矩阵;其次,根据所推导的单元刚度矩阵和单元质量矩阵,采用Matlab软件编写波形腹板钢箱?混凝土组合梁桥振动频率计算的求解程序;最后,对振动频率求解程序的收敛速度和计算效率进行了分析。研究结果表明:振动频率求解程序所得的频率值与ANSYS空间有限元值和实测值吻合良好;采用振动频率求解程序计算频率时只需较少的单元数量,即可达到较高的计算精度;大大缩短了振动频率求解的计算时间,提高了计算效率,避免了ANSYS空间有限元模型建立和求解的复杂性,为工程中该类桥型自振特性分析提供了一种简便方法。

    Abstract:

    In order to find a simplified calculation method for the vibration frequency of the corrugated web steel box-concrete composite girder bridge, firstly, based on the comprehensive consideration of the shear lag effect of the box girder and the influence of the shear deformation of the corrugated steel web, the element stiffness matrix of the corrugated web steel box-concrete composite girder bridge is derived by the potential energy variation principle. Secondly, according to the derived element stiffness matrix and element mass matrix, the Matlab software is used to compile the calculation program of the vibration frequency calculation of the corrugated web steel box-concrete composite girder bridge. Finally, the convergence speed and computational efficiency of the vibration frequency solving program are analyzed. The results show that the frequency value obtained by the vibration frequency solving program agrees well with the ANSYS spatial finite element value and the measured value. The calculation of the frequency by the vibration frequency solver requires only a small number of units to achieve high calculation accuracy. The calculation time of the vibration frequency is greatly shortened, the calculation efficiency is improved, the complexity of the establishment and solution of the ANSYS spatial finite element model is avoided, and a simple method for analyzing the natural vibration characteristics of this type bridge in the engineering is provided.

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  • 在线发布日期: 2021-03-03
  • 出版日期: 2021-02-28
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