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Static Analytical Approach of Moderately Thick Cylindrical Ribbed Shells Based on First-Order Shear Deformation Theory

机译:基于一阶剪切变形理论的中厚圆柱肋肋壳静分析方法

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摘要

The classical shell theory (CST) without considering the shear deformation has been commonly used in the calculation of shells structures recently. However, the impact of theory of plates and shells subjected to the shear deformation on the calculation is increasingly pronounced along with the wide use of composite laminated structures. In this paper, based on first-order shear deformation theory (FSDT) of cylindrical shells, the displacement control differential equation of moderately thick cylindrical shells has been obtained, so has been the edge force at longitudinal of the shells. Meanwhile, a group of unit force is introduced to deduce the displacement of edge beam under the action of edge force. A join condition of moderately thick cylindrical ribbed shells is established according to the continuity of displacement as well. Most notably, the displacement analytical solution of bending problems of moderately thick cylindrical ribbed shells is obtained, which has profound theoretical significance for further improving the analytical solution of moderately thick cylindrical shells.
机译:不考虑剪切变形的经典壳理论(CST)最近已广泛用于壳结构的计算中。然而,随着复合层压结构的广泛使用,遭受剪切变形的板壳理论对计算的影响越来越明显。本文基于圆柱壳的一阶剪切变形理论(FSDT),获得了中等厚度圆柱壳的位移控制微分方程,以及圆柱壳纵向的边缘力。同时,引入一组单位力以推导边缘力在边缘力的作用下的位移。也根据位移的连续性确定了中等厚度的圆柱肋壳的连接条件。最值得注意的是,获得了中厚圆柱肋壳弯曲问题的位移解析解,对于进一步改进中厚圆柱肋壳的解析解具有深远的理论意义。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第4期|274091.1-274091.14|共14页
  • 作者单位

    Changan Univ, Sch Highway, Xian 710064, Peoples R China.;

    Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Peoples R China.;

    Changan Univ, Sch Highway, Xian 710064, Peoples R China.;

    Changan Univ, Sch Highway, Xian 710064, Peoples R China.;

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