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力学与实践 ›› 2015, Vol. 37 ›› Issue (3): 302-316.doi: 10.6052/1000-0879-14-080

• 专题综述 • 上一篇    下一篇

深梁理论的研究现状与工程应用

夏桂云1,2,3, 曾庆元2   

  1. 1. 长沙理工大学土木与建筑学院, 长沙 410076;
    2. 中南大学土木工程学院, 长沙 410075;
    3. 西安交通大学航天航空学院, 西安 710049
  • 收稿日期:2014-03-10 修回日期:2014-03-31 出版日期:2015-06-15 发布日期:2015-07-03
  • 通讯作者: 夏桂云,xiagy72@163.com E-mail:xiagy72@163.com
  • 基金资助:

    国家自然科学基金项目(51278072),湖南省科技计划项目(2012FJ4125),中国博士后基金项目(2012M521555),湖南省学位与研究生教育基金项目(JG2012B031)和长沙理工大学重点学科专项基金(QS2010-01)资助.

TIMOSHENKO BEAM THEORY AND ITS APPLICATIONS

XIA Guiyun1,2,3, ZENG Qingyuan2   

  1. 1. School of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha 410076, China;
    2. School of Civil Engineering, Central South University, Changsha 410075, China;
    3. School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2014-03-10 Revised:2014-03-31 Online:2015-06-15 Published:2015-07-03

摘要:

综述了深梁理论、截面剪切修正系数计算理论、深梁线性与几何非线性有限元、深梁材料非线性分析、深梁振动理论、深梁稳定理论、箱梁结构分析中弯曲、剪力滞、畸变分析时考虑剪切变形影响的计算理论、钢腹板桥梁考虑剪切变形的研究成果、弹性地基深梁、深梁理论在工程结构中的应用等. 提出了杆系结构的静力、振动和稳定分析方法都可用Timoshenko 深梁理论进行重建和重写.

关键词:

深梁理论|剪切修正系数|有限元|振动|稳定

Abstract:

This paper reviews the developments of the Timoshenko beam theory with consideration of the shear deformation, the calculations of the shear correction factors, the linear and geometrically nonlinear finite elements of the Timoshenko beam, the material nonlinerity analysis, the vibrating theories, the stability theories, the coupling theories of the shear lag and the shear deformation and the coupling theories of the distorsion and the shear deformation in a box beam, the shear deformation effect on the composite box girder with corrugated steel webs, the elastic foundation beam, and the applications in civil engineering.

Key words:

Timoshenko beam|shear correction coeffcient|finite element|vibration|stability

中图分类号: 

  • U441.3