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考虑横向和扭转剪切变形的空间薄壁梁单元

王晓峰 杨庆山

王晓峰, 杨庆山. 考虑横向和扭转剪切变形的空间薄壁梁单元[J]. 力学学报, 2013, 45(2): 293-296. doi: 10.6052/0459-1879-12-218
引用本文: 王晓峰, 杨庆山. 考虑横向和扭转剪切变形的空间薄壁梁单元[J]. 力学学报, 2013, 45(2): 293-296. doi: 10.6052/0459-1879-12-218
Wang Xiaofeng, Yang Qingshan. A NEW SPATIAL THIN-WALLED BEAM ELEMENT INCLUDING TRANSVERSE AND TORSIONAL SHEAR DEFORMATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 293-296. doi: 10.6052/0459-1879-12-218
Citation: Wang Xiaofeng, Yang Qingshan. A NEW SPATIAL THIN-WALLED BEAM ELEMENT INCLUDING TRANSVERSE AND TORSIONAL SHEAR DEFORMATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 293-296. doi: 10.6052/0459-1879-12-218

考虑横向和扭转剪切变形的空间薄壁梁单元

doi: 10.6052/0459-1879-12-218
基金项目: 国家自然科学基金资助项目(51278049,90815021,51078026).
详细信息
    通讯作者:

    王晓峰,讲师,主要研究方向:薄壁结构和薄膜结构.E-mail:wangxiaof@bjtu.edu.cn

  • 中图分类号: TU323.3

A NEW SPATIAL THIN-WALLED BEAM ELEMENT INCLUDING TRANSVERSE AND TORSIONAL SHEAR DEFORMATION

Funds: The project was supported by the National Natural Science Foundation of China (51278049, 90815021, 51078026).
  • 摘要: 基于Timoshenko梁及Benscoter薄壁杆件理论,建立了考虑剪切变形、弯扭耦合以及翘曲剪应力影响的空间任意开闭口薄壁截面梁单元. 通过引入单元内部结点,对弯曲转角和翘曲角采用三节点Lagrange独立插值的方法,考虑了剪切变形和翘曲剪应力的影响并避免了横向剪切锁死问题;借助载荷作用下薄壁梁的截面运动分析,在位移和应变方程中考虑了弯扭耦合的影响. 通过数值算例将该单元的计算结果与理论解以及商用有限元软件和其他文献中的数值解进行对比和验证,结果对比表明该薄壁梁单元具有良好的精度和收敛性.

     

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出版历程
  • 收稿日期:  2012-08-06
  • 修回日期:  2012-09-07
  • 刊出日期:  2013-03-18

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