# [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] 点击复制 薄壁连续箱梁的弯曲自振频率分析() 分享到： var jiathis_config = { data_track_clickback: true };

48

2018年第1期

99-105

2018-01-20

## 文章信息/Info

Title:
Analysis of bending natural vibration frequency of thin-walled continuous box girder

Author(s):
School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China

Keywords:

U448.213
DOI:
10.3969/j.issn.1001-0505.2018.01.015

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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