"The present study aims to develop an empirical formula to predict the ultimate compressive strength of unstiffened cylindrically curved plates. Drawing from an extensive analysis of 400 unique curved plate scenarios under longitudinal compression, we investigated critical parameters: the flank angle (denoted as ), plate aspect ratio (denoted as ), and plate slenderness ratio (denoted as ). The ANSYS Nonlinear Finite Element Method (NLFEM) was employed to assess each scenario, considering the average level of initial imperfections (denoted as ) and configurations of one-bay and one-span. It is important to note that the models were designed without accounting for the effects of residual stresses. The simulation data generated from this analysis served as the foundation for developing our empirical formula. The proposed formula strongly agreed with the numerical simulations and experimental test results. This research provides structural engineers with a reliable predictive tool, aiding in more accurate predictions of the ultimate limit state (ULS) of curved plates during early design phases.

中文翻译：

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预测圆柱曲板极限抗压强度的新公式

“本研究旨在开发一个经验公式来预测无筋圆柱曲板的极限抗压强度。通过对纵向压缩下 400 个独特曲板场景的广泛分析，我们研究了关键参数：侧面角（表示为 ）、板长宽比（表示为 ）和板长细比（表示为 ）采用 ANSYS 非线性有限元方法 (NLFEM) 来评估每种情况，并考虑初始缺陷的平均水平（表示为 ）和单间的配置。值得注意的是，模型的设计没有考虑残余应力的影响，该分析生成的模拟数据是开发我们的经验公式与数值模拟的基础。这项研究为结构工程师提供了可靠的预测工具，有助于在早期设计阶段更准确地预测弯曲板的极限状态 (ULS)。