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基于剪力滞附加挠度的箱梁弯曲自振特性分析

张玉元 张元海 张慧

张玉元, 张元海, 张慧. 基于剪力滞附加挠度的箱梁弯曲自振特性分析[J]. 西南交通大学学报. doi: 10.3969/j.issn.0258-2724.20220618
引用本文: 张玉元, 张元海, 张慧. 基于剪力滞附加挠度的箱梁弯曲自振特性分析[J]. 西南交通大学学报. doi: 10.3969/j.issn.0258-2724.20220618
ZHANG Yuyuan, ZHANG Yuanhai, ZHANG Hui. Analysis of Bending Natural Vibration Characteristics of Box Girder Based on Additional Deflection for Shear Lag[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20220618
Citation: ZHANG Yuyuan, ZHANG Yuanhai, ZHANG Hui. Analysis of Bending Natural Vibration Characteristics of Box Girder Based on Additional Deflection for Shear Lag[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20220618

基于剪力滞附加挠度的箱梁弯曲自振特性分析

doi: 10.3969/j.issn.0258-2724.20220618
基金项目: 国家自然科学基金(51968040, 52168019);甘肃省青年科技基金(20JR10RA267);甘肃省高等学校创新基金(2021B-096).
详细信息
    作者简介:

    张玉元(1989—),男,副教授,博士,研究方向为箱形梁设计理论研究与应用,E-mail:zyy161208@163.com

    通讯作者:

    张元海(1965—),男,教授,博士,研究方向为箱形梁设计理论研究与应用,E-mail:zyh17012@163.com

  • 中图分类号: U448.213

Analysis of Bending Natural Vibration Characteristics of Box Girder Based on Additional Deflection for Shear Lag

  • 摘要:

    为揭示弯曲空间效应对自振频率削弱的影响规律,选取剪力滞效应引起的附加挠度为广义位移,将箱梁翘曲附加变形纳入体系总动能中,运用Hamilton原理,建立考虑剪切、剪力滞及双重效应影响的箱梁弯曲自振频率变分解析解,引入空间效应对自振频率削弱影响的差值比参数,详细分析截面尺寸及边中跨径比对差值比参数的影响. 算例分析表明:考虑剪切和双重效应影响的箱梁自振频率解析解与有限元数值解吻合较好;频率阶数越大,各效应对自振频率的削弱程度越大,其中,双重效应影响最为显著,对一阶频率,双重效应对简支和连续箱梁自振频率分别削弱了4.72%和4.80%;跨宽比、宽高比和边中跨径比越大,自振频率差值比越小;板宽比越大,剪力滞、双重效应自振频率差值比越小,剪切自振频率差值比越大;同一跨宽比时,剪力滞和剪切效应对自振频率的削弱程度相当;不同宽高比下,剪力滞效应对自振频率的削弱程度近乎相同,剪切效应影响较为显著;低阶自振频率计算时可按不带悬臂板的箱梁进行计算.

     

  • 图 1  箱梁弯曲变形分解及截面简图

    Figure 1.  Box girder bending deformation decomposition and section

    图 2  箱梁横截面尺寸(单位:m)

    Figure 2.  Cross sectional dimension of box girder (unit: m)

    图 3  跨宽比对箱梁弯曲自振频率差值比的影响

    Figure 3.  Influence of span width ratio on difference ratio of bending natural vibration frequency of box girder

    图 4  宽高比对箱梁自振频率差值比的影响

    Figure 4.  Influence of width-to-height ratio on natural vibration frequency difference ratio of box girder

    图 5  板宽比对箱梁弯曲自振频率差值比的影响

    Figure 5.  Influence of plate width ratio on difference ratio of bending natural vibration frequency of box girder

    图 6  边中跨径比对连续箱梁自振频率差值比的影响

    Figure 6.  Influence of side-to-middle span ratio on natural vibration frequency difference ratio of continuous box girder

    表  1  不等跨连续梁自振频率参数影响因子

    Table  1.   Influence factors of natural vibration frequency parameters of continuous girders with unequal span

    lb/ln
    123456
    0.51.2502.0002.2502.5003.2504.000
    0.61.2151.7771.9262.3403.1373.503
    0.71.1741.5651.6992.2642.9083.060
    0.81.1251.3901.5422.2002.6132.728
    0.91.0661.2481.4372.1182.3512.500
    1.01.0001.1321.3682.0002.1352.365
    下载: 导出CSV

    表  2  简支箱梁弯曲自振频率对比

    Table  2.   Comparison of bending natural vibration frequency of simply supported box girder Hz

    nf0fslfsdfssANSYS 结果Midas 结果
    13.2433.1603.1673.0903.1083.121
    212.97311.66311.87110.87410.78311.124
    329.18823.25024.34920.85122.95723.385
    451.89036.51138.92731.89133.32533.891
    581.07951.39854.49143.83844.68145.332
    6116.75368.21570.42956.69059.69060.449
    下载: 导出CSV

    表  3  连续箱梁弯曲自振频率对比

    Table  3.   Comparison of bending natural vibration frequency of continuous box girder Hz

    nf0fslfsdfssANSYS 结果Midas 结果
    13.2463.1603.1703.0903.1923.221
    24.1574.0194.0333.9084.0364.242
    36.0735.7785.8155.5565.3565.667
    412.97811.66311.87510.87410.04810.524
    514.79413.09713.38512.13511.87712.487
    618.15015.64816.09314.35612.36613.191
    下载: 导出CSV
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出版历程
  • 收稿日期:  2022-09-09
  • 修回日期:  2023-03-24
  • 网络出版日期:  2024-01-26

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