Abstract We introduced a simplified method to measure the buckling severity of the cylindrical structures subjected to axial compression. The method is intended for the cylindrical structures with a buckling mode comprising a repetition of similar single tiers, and estimates an upper bound of the deformed surface shape of the structure from measurements of a few data points. Moreover, this method helps monitor the magnitude of surface distortion of the large-sized buckled cylindrical structures with full-field surface shapes that are usually problematic for measurement. The discussion of classical buckling theory reveals that the point-to-point variation of radial displacements on cylindrical structures with periodic buckling pattern is similarly distributed even when the buckling mode changes depending on the structure’s size. A fundamental probability distribution model governing the point-to-point variation of the radial displacements is established from the results. A computation procedure for the conservative upper bound (CUB) of radial displacements from measurements at a few data points is proposed. A buckling experiment on cylindrical structures under axial compression demonstrated that the CUB from the proposed method appropriately envelopes the radial displacement of the buckled cylindrical structure within a designated probability, confirming the effectiveness of the proposed method. The study offers a novel method to compute the magnitude of the surface distortion of buckled cylindrical structures from a few measurements.

中文翻译：

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具有周期性屈曲模式的轴向压缩圆柱结构的屈曲强度测量

摘要 我们介绍了一种简化的方法来测量承受轴向压缩的圆柱结构的屈曲强度。该方法旨在用于具有包括重复相似单层的屈曲模式的圆柱形结构，并从几个数据点的测量中估计结构变形表面形状的上限。此外，该方法有助于监测具有全场表面形状的大型屈曲圆柱结构的表面变形程度，这些结构通常难以测量。经典屈曲理论的讨论表明，即使屈曲模式根据结构尺寸而变化，具有周期性屈曲模式的圆柱形结构上径向位移的点对点变化也类似分布。根据结果​​建立了控制径向位移点对点变化的基本概率分布模型。提出了根据几个数据点的测量值计算径向位移的保守上限 (CUB) 的计算程序。轴向压缩下圆柱结构的屈曲实验表明，所提出方法的 CUB 在指定的概率内适当地包围了屈曲圆柱结构的径向位移，证实了所提出方法的有效性。该研究提供了一种新方法，可通过几次测量计算弯曲圆柱结构的表面变形量。提出了根据几个数据点的测量值计算径向位移的保守上限 (CUB) 的计算程序。轴向压缩下圆柱结构的屈曲实验表明，所提出方法的 CUB 在指定的概率内适当地包围了屈曲圆柱结构的径向位移，证实了所提出方法的有效性。该研究提供了一种新方法，可通过几次测量计算弯曲圆柱结构的表面变形量。提出了根据几个数据点的测量值计算径向位移的保守上限 (CUB) 的计算程序。轴向压缩下圆柱结构的屈曲实验表明，所提出方法的 CUB 在指定的概率内适当地包围了屈曲圆柱结构的径向位移，证实了所提出方法的有效性。该研究提供了一种新方法，可通过几次测量计算弯曲圆柱结构的表面变形量。轴向压缩下圆柱结构的屈曲实验表明，所提出方法的 CUB 在指定的概率内适当地包围了屈曲圆柱结构的径向位移，证实了所提出方法的有效性。该研究提供了一种新方法，可通过几次测量计算弯曲圆柱结构的表面变形量。轴向压缩下圆柱结构的屈曲实验表明，所提出方法的 CUB 在指定的概率内适当地包围了屈曲圆柱结构的径向位移，证实了所提出方法的有效性。该研究提供了一种新方法，可通过几次测量计算弯曲圆柱结构的表面变形量。