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自然弯扭梁广义翘曲坐标的求解

虞爱民 易明

虞爱民, 易明. 自然弯扭梁广义翘曲坐标的求解[J]. 应用数学和力学, 2004, 25(10): 1067-1075.
引用本文: 虞爱民, 易明. 自然弯扭梁广义翘曲坐标的求解[J]. 应用数学和力学, 2004, 25(10): 1067-1075.
YU Ai-min, YI Ming. Solution of Generalized Coordinate for Warping for Naturally Curved and Twisted Beams[J]. Applied Mathematics and Mechanics, 2004, 25(10): 1067-1075.
Citation: YU Ai-min, YI Ming. Solution of Generalized Coordinate for Warping for Naturally Curved and Twisted Beams[J]. Applied Mathematics and Mechanics, 2004, 25(10): 1067-1075.

自然弯扭梁广义翘曲坐标的求解

详细信息
    作者简介:

    虞爱民(1948- ),男,江苏人,教授(联系人.Tel:+86-21-62276787;E-mail:aimin.yu@163.com)

  • 中图分类号: TB125

Solution of Generalized Coordinate for Warping for Naturally Curved and Twisted Beams

  • 摘要: 提出了自然弯扭梁受复杂载荷作用时静力分析的一种理论方法,重点在于对控制方程的求解,其中考虑了与扭转有关的翘曲变形和横向剪切变形的影响.在特殊的情况下,可以比较容易地得到这些方程的解答,包括各种内力、应力、应变和位移的计算.算例给出了平面曲梁受水平和垂直分布载荷作用时广义翘曲坐标的求解方法.计算结果表明,求得的应力和位移的理论值和三维有限元结果非常接近.此外,该理论不限于具有双对称横截面的自然弯扭梁,同样可推广至具有一般横截面形状的情况.
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出版历程
  • 收稿日期:  2002-12-10
  • 修回日期:  2004-06-11
  • 刊出日期:  2004-10-15

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