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不同模量横力弯曲梁的解析解

姚文娟 叶志明

姚文娟, 叶志明. 不同模量横力弯曲梁的解析解[J]. 应用数学和力学, 2004, 25(10): 1014-1022.
引用本文: 姚文娟, 叶志明. 不同模量横力弯曲梁的解析解[J]. 应用数学和力学, 2004, 25(10): 1014-1022.
YAO Wen-juan, YE Zhi-ming. Analytical Solution for Bending Beam Subject to Lateral Force With Different Modulus[J]. Applied Mathematics and Mechanics, 2004, 25(10): 1014-1022.
Citation: YAO Wen-juan, YE Zhi-ming. Analytical Solution for Bending Beam Subject to Lateral Force With Different Modulus[J]. Applied Mathematics and Mechanics, 2004, 25(10): 1014-1022.

不同模量横力弯曲梁的解析解

详细信息
    作者简介:

    姚文娟(1957- ),女,江西南昌人,副教授,博士(联系人.Tel:+86-21-66305773;Fax:+86-21-56337100;E-mail:wjyao@staff.shu.edu.cn)

  • 中图分类号: O343.5

Analytical Solution for Bending Beam Subject to Lateral Force With Different Modulus

  • 摘要: 选择处于平面复杂应力状态下横力弯曲梁,对结构进行了中性层的判定,推导出中性轴、正应力、剪应力、位移的计算公式,得到如下结论:对于复杂应力状态下的不同模量弹性弯曲梁,其中性轴位置与剪应力无关,因此用正应力作为判据而得到解析解,改进了以往用主应力判定中性点的多次循环的计算方法.把解析解的结果与经典力学同模量理论,以及有限元数值解进行了比较,结果表明:解析解很好地考虑了拉压不同模量的效应.还提出了对不同模量结构的计算修正以及对结构优化的思想.
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出版历程
  • 收稿日期:  2003-03-06
  • 修回日期:  2004-05-31
  • 刊出日期:  2004-10-15

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