变高度悬臂箱梁剪力滞效应的半解析解

潘旦光; 付相球; 韦杉杉; 陈钒; 杨少平

doi:10.6052/j.issn.1000-4750.2017.08.0643

变高度悬臂箱梁剪力滞效应的半解析解

1.
北京科技大学土木工程系, 北京 100083;
2.
中电建路桥集团有限公司, 北京 100048;
3.
中国水电建设集团十五工程局有限公司, 西安 710068

基金项目: 北京市自然科学基金项目（8143037）；北京科技大学教改项目（JG2013M11）.

详细信息

作者简介:
付相球(1994-),男,江西人,硕士生,主要从事防灾减灾及防护工程研究(E-mail:1376369310@qq.com);韦杉杉(1993-),女,河北人,硕士生,主要从事工程结构与工程系统抗震方向的研究(E-mail:814440337@qq.com);陈钒(1972-),男,江西人,教授级高工,硕士,主要从事道路桥梁设计、施工研究(E-mail:cfsc_1037@163.com);杨少平(1990-),男,陕西人,助工,学士,主要从事道路桥梁施工研究(E-mail:505703213@qq.com).

通讯作者:
潘旦光(1974-),男,浙江人,研究员,博士,博导,主要从事防灾减灾及防护工程研究(E-mail:pdg@ustb.edu.cn).

中图分类号: U441+5
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- 文章访问数: 411
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出版历程
- 收稿日期: 2017-08-22
- 修回日期: 2018-01-15
- 刊出日期: 2018-09-28

SEMI-ANALYTIC SOLUTION FOR SHEAR LAG EFFECT OF CANTILEVER BOX GIRDERS WITH VARYING DEPTH

1.
Department of Civil Engineering, University of Science and Technology Beijing, Beijing 100083, China;
2.
Power China Road Bridge Group Co., Beijing 100048, China;
3.
Sinohydro Engineering Bureau 15 Co., Ltd, Xi'an 710068, China

摘要

摘要: 以等截面Euler梁的自由振动模态为Ritz基函数，提出了一种求解变高度箱梁剪力滞微分方程组的Ritz法。该方法首先进行与箱梁相同跨度相同边界条件等截面欧拉梁模态分析，然后将箱梁的竖向挠度和剪切转角用模态及其导数的线性组合来表达，从而将变分法所得箱梁剪力滞微分方程组转化为线性代数方程组进行求解。在此基础上，研究了参与计算模态阶数和截面高度变化率对计算误差的影响，算例分析结果表明：箱梁高度变化越大，Ritz法的收敛速度越慢；但随着参与计算模态阶数的增加，Ritz法将收敛到解析解。采用12阶以上模态进行计算，所得的剪力滞系数误差小于5%。
- 箱梁 /
- 变高度 /
- 剪力滞 /
- Euler梁 /
- 模态
Abstract: By using the free vibration mode of an Euler beam as Ritz base function, a new Ritz method is proposed to solve the set of shear lag differential equations of a varying depth box girder. Firstly, the modal analysis of a uniform cross-sectional Euler beam which is the same length and boundary condition with the box girder is carried out. The vertical deflection and the shear rotation of the box girder are expressed by the linear combination of the model and its derivative. And then the set of shear-lag differential equations of the box girder obtained by the calculus of variations are transformed into a set of linear algebraic equations. Then, the influences of the number of modes and variation ratio of section height on the errors are investigated. The numerical examples show that:the more significant the height of the box girder varies, the slower the Ritz method converges; but the results by Ritz method would converge to the analytic solution with the increasing of the number of modes. The errors of shear lag coefficients are less than 5%, when more than 12 of modes are included.
- box girder /
- varying depth /
- shear lag /
- Euler beam /
- modes of shape

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参考文献(16)

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文章访问数: 411
HTML全文浏览量: 29
PDF下载量: 57
被引次数: 18

变高度悬臂箱梁剪力滞效应的半解析解

通讯作者: 潘旦光(1974-),男,浙江人,研究员,博士,博导,主要从事防灾减灾及防护工程研究(E-mail:pdg@ustb.edu.cn).

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出版历程

SEMI-ANALYTIC SOLUTION FOR SHEAR LAG EFFECT OF CANTILEVER BOX GIRDERS WITH VARYING DEPTH

期刊类型引用(8)

其他类型引用(10)

计量

出版历程

目录

通讯作者:
潘旦光(1974-),男,浙江人,研究员,博士,博导,主要从事防灾减灾及防护工程研究(E-mail:pdg@ustb.edu.cn).