| 周旺保,蒋丽忠,戚菁菁.考虑剪力滞和剪切变形的薄壁箱梁自振特性分析[J].计算力学学报,2013,30(6):802~806 |
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| 考虑剪力滞和剪切变形的薄壁箱梁自振特性分析 |
| Analysis of free vibration characteristic of thin-wall box-girder considering shear lag and shear deformation |
| 投稿时间：2012-04-24 修订日期：2012-05-28 |
| DOI：10.7511/jslx201306009 |
| 中文关键词: 薄壁箱梁 剪力滞效应 剪切变形 变分 自振特性 |
| 英文关键词:thin-wall box-girder shear lag effect shear deformation calculus of variation characteristic of free vibration |
| 基金项目:国家自然科学基金（51078355，50938008，51378502）；教育部博士研究生学术新人奖；湖南省博士生科研创新（CX2011B093）；中央高校基本科研业务费专项基金（20117Q008）；中南大学优秀博士生奖励助学金（2011ybjz031）资助项目. |
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| 中文摘要: |
| 以能量变分原理为基础，综合考虑箱形梁满足应力自平衡的剪力滞、剪切变形和转动惯量等多重因素的影响，推导出箱梁的自由振动方程及自然边界条件。通过算例将本文解析计算结果与ANSYS有限元计算结果进行了比较。结果表明，两者计算结果吻合良好，论证了本文计算方法的正确。所得公式比以往箱形箱梁自振特性计算理论有一定发展，并得出了一些对工程设计有意义的结论；在剪力滞效应的作用下，箱形梁的固有频率减小幅度较大，不能忽略；剪力滞效应随频率阶次的升高而变大，随着跨宽比的减小而增大。 |
| 英文摘要: |
| Based on energy variation principle,the differential equation of free vibration and the corresponding boundary conditions of box girder with consideration for the shear lag effect meeting self equilibrated stress,shear deformation as well as rotational inertia were induced.The ANSYS finite element solutions were compared with the analytical solutions by calculation examples and the validity of the proposed approach was verified.The obtained formulas developed the shear lag theory.Some meaningful conclusions for engineering design were obtained.The decrease extent of each order natural frequency of the box-girder beam is great under the shear lag effect.The shear lag effect of box girder increases when frequency order rises,and increases while span-width ratio decreases. |
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