[1]李丽园,周茂定,张元海.薄壁连续箱梁的弯曲自振频率分析[J].东南大学学报(自然科学版),2018,48(1):99-105.[doi:10.3969/j.issn.1001-0505.2018.01.015]
 Li Liyuan,Zhou Maoding,Zhang Yuanhai.Analysis of bending natural vibration frequency of thin-walled continuous box girder[J].Journal of Southeast University (Natural Science Edition),2018,48(1):99-105.[doi:10.3969/j.issn.1001-0505.2018.01.015]
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薄壁连续箱梁的弯曲自振频率分析()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
48
期数:
2018年第1期
页码:
99-105
栏目:
交通运输工程
出版日期:
2018-01-20

文章信息/Info

Title:
Analysis of bending natural vibration frequency of thin-walled continuous box girder
作者:
李丽园周茂定张元海
兰州交通大学土木工程学院, 兰州 730070
Author(s):
Li Liyuan Zhou Maoding Zhang Yuanhai
School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
关键词:
连续箱梁 弯曲自振频率 三弯矩法 剪切变形 薄壁箱梁
Keywords:
continuous box girder bending natural vibration frequency three-moment method shear deformation thin-walled box girder
分类号:
U448.213
DOI:
10.3969/j.issn.1001-0505.2018.01.015
摘要:
为分析薄壁箱梁考虑剪切变形影响时的弯曲自振频率,将箱梁翼板、腹板受剪切变形影响的纵向位移综合为一个函数表达式.基于此表达式及Hamilton原理,运用能量变分法建立薄壁箱梁的弯曲自振频率控制微分方程.根据边界条件求解考虑剪切变形影响的简支箱梁弯曲自振频率.进而利用三弯矩法,得到等截面连续箱梁的弯曲自振频率表达式.数值算例结果表明,按照所得公式计算出的连续箱梁考虑了剪切效应的弯曲振动频率,与基于ANSYS空间壳单元及考虑剪切效应的梁单元有限元模型的计算结果均吻合较好.考虑剪切变形时,薄壁箱梁的弯曲自振频率减小,且随着自振频率阶数的增加,剪切变形影响逐渐增大,因此在求解薄壁箱梁的高阶自振频率时剪切变形的影响不可忽略.
Abstract:
To analyze the bending natural vibration frequency of thin-walled box girders considering the shear deformation effect influence, a function expression is used to express the longitudinal displacement of the flanges and webs considering the shear deformation effect influence. Based on this expression and the Hamilton principle, the differential equations to solve the bending vibration frequency are established by using the energy variation method. The bending vibration frequency considering the shear deformation effect influence of the simply supported beam is obtained according to the boundary conditions. Furthermore,the bending vibration frequency expression of the equal-section continuous box girder is derived by using the three-moment method. The numerical example results show that, the bending vibration frequency obtained from the calculation formula considering the shear effect of the continuous box girder is in good agreement with the calculation results from ANSYS software with shell elements and those from the beam element model considering the shear effect. The bending vibration frequency of the box girder decreases when considering the shear deformation effect influence. The higher the frequency order, the greater the shear deformation effect influence. Therefore, the influence of the shear deformation should not be neglected when solving the high order bending natural vibration frequency of the thin-walled box girder.

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备注/Memo

备注/Memo:
收稿日期: 2017-06-25.
作者简介: 李丽园(1987—),女,博士生;张元海(联系人),男,博士,教授,博士生导师,zyh17012@163.com.
基金项目: 国家自然科学基金资助项目(51468032, 51268029, 51068018)、兰州交通大学青年科学基金资助项目(2017017)、兰州交通大学优秀平台资助项目(201601).
引用本文: 李丽园,周茂定,张元海.薄壁连续箱梁的弯曲自振频率分析[J].东南大学学报(自然科学版),2018,48(1):99-105. DOI:10.3969/j.issn.1001-0505.2018.01.015.
更新日期/Last Update: 2018-01-20