非均质层合圆柱壳轴对称变形分析解

本文将钢筋混凝土压力管道视为非匀质层合圆柱壳,利用经典层合理论和Reissner修正理论,分别得到了轴对称变形下挠度和内力的解析解.计算了材料性质关于中面是对称的三层壳和非对称的二层壳.受均布内压力和一圈均布的法向集中力作用的实例.计算结果表明,上述两种理论比经典理论更加符合实际,径向分布应力和纵向分布内力更加合理.本文和文献的工作说明了现行钢筋混凝土压力管道或者构件设计,在静力计算方面还有着进一步探讨的问题.

Analytical Solution to Non-homogeneous Laminated Cylinder Shell Under Axially Symmetric Deformation

In this paper, the reinforced concrete pressure pipe is considered as a non-homogeneous laminated cylinder shell by using the lamination theory and Reissner's reviseed theory respectively the analytical to the deflection and the bending moment under axially symmetric deformation is obtained. A three-leyer shell, whose material is symmetric about the middle face, and a two-layer shell, whose material is nonsymmetric, under uniform internal pressure and uniform normal concentrated force are calculated. The calculated results indicate that the above two theories conform to reality better than the classical theory , the radial stress and the longitudinal internal force are more reasonable. This paper and reference show that some problems in the current design of the reinforced concrete pressure pipe or members under static forces need further studies.