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首页> 外文会议>ASME(American Society of Mechanical Engineers) Pressure Vessels and Piping Conference vol.2: Computer Technology; 20050717-21; Denver,CO(US) >POST-BUCKLING ANALYSES OF ELASTIC CIRCULAR CYLINDRICAL SHELLS UNDER AXIAL COMPRESSION
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POST-BUCKLING ANALYSES OF ELASTIC CIRCULAR CYLINDRICAL SHELLS UNDER AXIAL COMPRESSION

机译：轴向压缩弹性圆柱壳的屈曲后分析

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In the design of a modern lightweight structure, it is of technical importance to assure its safety against the buckling under the applied loading conditions. For this issue, the determination of the critical load in an ideal condition is not sufficient, but it is further required to clarify the post-buckling behavior, that is, the behavior of the structure after passing through the critical load. One of the reasons is to estimate the effect of practically unavoidable imperfections on the critical load and the second is to evaluate the ultimate strength to exploit the load-carrying capacity of the structure. For the buckling problem of circular cylindrical shells under axial compression, a number of experimental and theoretical studies have been made by many researchers. In the case of the very thin shell that exhibits elastic buckling, experimental results show that after the primary buckling, secondary buckling takes place accompanying successive reductions in the number of the circumferential waves in each mode change on one-by-one step. In this paper we traced this successive buckling of circular cylindrical shells using some of the general purpose implicit FEM codes currently available. For geometrically nonlinear static problems including buckling and post-buckling, we carried out our studies with two approaches; one is to use the arc length method (the modified Riks method), and the other is stabilizing with the aid of (artificial) damping especially for the local instability. Our analysis procedure consists of the following 2 steps. Before reaching the point exhibiting the comparatively stable state after the primary buckling, the arc length method is applied. After that point, the artificial damping is applied. The results simulate unstable successive buckling and show good agreement with experiments.
机译：在设计现代轻质结构时，确保其在施加的载荷条件下抵抗屈曲的安全性具有重要的技术意义。对于这个问题，在理想条件下确定临界载荷是不够的，但是还需要澄清屈曲后的行为，即，通过临界载荷后结构的行为。原因之一是估计实际不可避免的缺陷对临界载荷的影响，第二个原因是评估极限强度以利用结构的承载能力。对于圆柱壳在轴向压缩下的屈曲问题，许多研究人员进行了许多实验和理论研究。对于具有弹性屈曲的非常薄的壳体，实验结果表明，在一次屈曲之后，伴随着每个模式一步一步变化的圆周波数的连续减少，发生了二次屈曲。在本文中，我们使用一些当前可用的通用隐式FEM代码跟踪了圆柱壳的这种连续屈曲。对于包括屈曲和后屈曲在内的几何非线性静态问题，我们用两种方法进行了研究：一种是使用弧长方法（改进的Riks方法），另一种是借助（人工）阻尼来稳定，特别是对于局部不稳定性。我们的分析过程包括以下两个步骤。在到达一次屈曲后呈现相对稳定状态的点之前，应用弧长法。此后，将应用人工阻尼。结果模拟了不稳定的连续屈曲，与实验结果吻合良好。

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