[1]李夏元,王磊,陈建兵,等.考虑腹板等效剪切变形影响的单箱多室薄壁箱梁单元[J].长安大学学报(自然科学版),2026,46(01):118-128.[doi:10.19721/j.cnki.1671-8879.2026.01.009]
　LI Xia-yuan,WANG Lei,CHEN Jian-bing,et al.Single-box multi-cell thin-walled box girder element considering equivalent shear deformation effect of webs[J].Journal of Chang’an University (Natural Science Edition),2026,46(01):118-128.[doi:10.19721/j.cnki.1671-8879.2026.01.009]
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考虑腹板等效剪切变形影响的单箱多室薄壁箱梁单元()
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长安大学学报（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
第46卷
期数:
2026年01期
页码:
118-128
栏目:
桥梁与隧道工程
出版日期:
2026-01-31

文章信息/Info

Title:
Single-box multi-cell thin-walled box girder element considering equivalent shear deformation effect of webs
文章编号:
1671-8879(2026)01-0118-11
作者:
李夏元1; 2; 3; 王磊1; 陈建兵2; 孙小峰3; 康爱红1; 万水4
(1. 扬州大学 土木与交通学院,江苏 扬州 225127; 2. 苏州科技大学 江苏省结构工程重点实验室,江苏 苏州 215011; 3. 江苏瑞沃建设集团有限公司,江苏 扬州 225600; 4. 东南大学 交通学院,江苏 南京 211189)
Author(s):
LI Xia-yuan1; 2; 3;  WANG Lei1;  CHEN Jian-bing2;  SUN Xiao-feng3;  KANG Ai-hong1;  WAN Shui4
(1. School of Civil Engineering and Transportation, Yangzhou University, Yangzhou 225127, Jiangsu, China; 2. Jiangsu Key Laboratory of Structural Engineering, Suzhou University of Science and Technology, Suzhou 215011,Jiangsu, China; 3. Jiangsu Ruiwo Construction Group Co., Ltd., Yangzhou 225600, Jiangsu, China; 4. School of Transportation, Southeast University, Nanjing 211189, Jiangsu, China)
关键词:
桥梁工程;  等效剪切变形;  单箱多室;  薄壁箱梁;  剪切锁死;  TBE
Keywords:
bridge engineering;  equivalent shear deformation;  single-box multi-cell;  thin-walled box girder;  shear locking;  Timoshenko beam element
分类号:
U441.5
DOI:
10.19721/j.cnki.1671-8879.2026.01.009
文献标志码:
A
摘要:
为探讨腹板剪切变形对单箱多室薄壁箱梁结构力学性能的影响,提出了一种考虑腹板等效剪切变形影响的箱梁单元(TBE),通过微元体平衡条件和变形协调关系,建立了单箱多室薄壁箱形截面弯曲剪力流的分布规律; 基于腹板剪切应变能等效原理,提出了腹板等效剪切变形影响系数的3种取值公式; 利用最小势能原理下的齐次解和Hellinger-Reissner变分原理下的伽辽金法,分别构造了包含剪切变形项的单元广义位移插值函数,实现了2种理论方法的相互验证; 基于最小势能原理和Hellinger-Reissner变分原理,建立了考虑腹板剪切变形影响的箱梁单元刚度矩阵和等效节点荷载向量。研究结果表明:提出的箱梁单元形式简洁,计算高效,能够克服剪切锁死问题,且与在经典梁单元中引入剪切变形影响的修正单元刚度矩阵结果一致; 建立的TBE模型能够准确预测单箱多室薄壁箱梁的内力和变形分布,与ABAQUS实体有限元模型相比,计算结果误差控制在3%以内; 当计算模型需同时考虑翼缘板和腹板剪切变形影响但缺乏有效途径时,建议采用各腹板最大剪应变与平均剪应变比值的平均值确定等效剪切变形影响系数; 若计算模型能够分别考虑翼缘板和腹板剪切变形的影响,建议基于腹板等效剪切应变能与真实剪切应变能等效原理确定该系数; 对于宽箱梁,还需进一步考虑剪力滞后效应。
Abstract:
To investigate the influence of web shear deformation on the mechanical behavior of single-box multi-cell thin-walled box girders, a box Timoshenko beam element(TBE)considering the equivalent shear deformation effect of webs was developed. Based on the equilibrium conditions of micro-elements and deformation compatibility relationships, the shear flow distribution law of the single-box multi-cell thin-walled box section was established. According to the equivalent principle of shear strain energy of webs, three formulas for determining the coefficient of equivalent shear deformation effect of webs were proposed. By employing the homogeneous solution under the minimum potential energy principle and the Galerkin method under the Hellinger-Reissner variational principle, interpolation functions of generalized displacements of the element with shear deformation terms were constructed, and the mutual verification between the two theoretical methods was achieved. The stiffness matrix and equivalent nodal load vector of the box beam element accounting for shear deformation effect of webs were formulated using the minimum potential energy principle and the Hellinger-Reissner variational principle. The research results demonstrate that the proposed beam element is simple and computationally efficient. It can effectively overcome the shear locking problem, and the result is consistent with that from the modified stiffness matrix of classical beam element incorporating shear deformation effect. The proposed TBE model can accurately predict the distributions of internal force and deformation of single-box multi-cell thin-walled box girders, with the errors within 3% in calculation results compared to ABAQUS solid finite element solutions. When both the flange and web shear deformation effect needs to be considered in the calculation model, but no effective method is available, it is recommended to determine the coefficient of equivalent shear deformation effect using the average ratio of the maximum shear strain of each web to the mean shear strain. If the model can separately account for the shear deformation effects of flange and web, the coefficient should be determined based on the equivalent and actual shear strain energies of webs. For wide box girders, the shear lag effect should also be further considered.1 tab, 8 figs, 30 refs.

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备注/Memo

备注/Memo:
收稿日期:2025-06-21
基金项目:国家自然科学基金项目(52308214); 中国博士后科学基金项目(2023M742957); 江苏省结构工程重点实验室开放课题(ZD2203); 江苏省高等学校基础科学(自然科学)研究项目(23KJD560007)
作者简介:李夏元(1989-),男,江苏扬州人,讲师,工学博士,博士后,从事桥梁结构设计与分析,E-mail:lixiayuan123@163.com。
更新日期/Last Update: 2026-02-20