| 基于能量变分原理的薄壁箱梁自振特性分析 |
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| 引用本文： | 甘亚南,周广春.基于能量变分原理的薄壁箱梁自振特性分析[J].中国公路学报,2007,20(1):73-78. |
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| 作者姓名： | 甘亚南 周广春 |
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| 作者单位： | 哈尔滨工业大学,土木工程学院,黑龙江,哈尔滨,150090 |
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| 摘 要： | 以能量变分原理为基础,综合考虑剪力滞后效应、剪切变形和转动惯量的影响,推导出箱形截面梁的控制微分方程和相应的自然边界条件,据此获得几种常用边界条件(简支、悬臂、连续、两端固支)的固有频率方程,提出一种能对工程中常用矩形薄壁箱梁自振特性进行分析的方法。通过算例将解析解与板壳有限元结果进行了比较,证明了该方法的有效性,所得公式比以往剪滞理论有一定发展,且为箱形梁桥动力特性的进一步研究奠定了理论基础。
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| 关 键 词： | 桥梁工程 薄壁箱梁 能量变分原理 自振特性 剪力滞后效应 |
| 文章编号： | 1001-7372（2007）01-0073-06 |
| 收稿时间： | 2006-04-25 |
| 修稿时间： | 2006年4月25日 |
Analysis of Free Vibration Characteristics of Thin-walled Box Girder Based on Energy Variation Principle |
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| GAN Ya-nan,ZHOU Guang-chun.Analysis of Free Vibration Characteristics of Thin-walled Box Girder Based on Energy Variation Principle[J].China Journal of Highway and Transport,2007,20(1):73-78. |
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| Authors: | GAN Ya-nan ZHOU Guang-chun |
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| Institution: | School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, Heilongjiang, China |
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| Abstract: | Based on energy variation principle,the governing differential equations and the corresponding boundary conditions of box girder with consideration for the shear lag effect and shear deformation as well as rotational inertia were induced.Therefore,natural frequency equations were obtained for the boundary types,such as simple support,cantilever,continuous girder and fixed support at two ends.A new method was proposed for analyzing the free vibration characteristics of rectangular thin-walled box girder.The finite shell element solutions were compared with the analytical solutions by calculation examples and the validity of the proposed approach was verified.The obtained formulas develop the shear lag theory,and provide theoretical basis for further research of dynamic characteristics of box girder. |
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| Keywords: | bridge engineering thin-walled box girder energy variation principle characteristic of free vibration shear lag effect |
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