Abstract Scale models are normally designed as alternatives to true ship structures in ultimate strength experiments. In this paper, a series of true ship hull girders of a 10,000 TEU container ship under different scale combinations of geometric length and plate thickness are modeled and analyzed to investigate the scaling characteristics of hull girders’ ultimate strength and collapse behaviors, aiming at developing a more precise scaling criterion of the ultimate strength between scale model and true ship. In addition, the reliability and applicability of the proposed scaling criterion has been validated by a series of simplified ship hull girder models, of which the numerical results have been validated by scale model experiments. Results show that, under different scale combinations of geometric length and plate thickness, the first order scaling law which is derived based on dimension analysis has significant errors in quantifying the converting process of the ultimate strength between scale model and true ship. Correspondingly, an empirically modified scaling criterion is proposed in this paper to improve the accuracy of the converting process of the ultimate strength between scale model and true ship.

中文翻译：

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船体梁极限强度和破坏行为的缩放特性：经验修正的缩放标准

摘要 比例模型通常被设计为极限强度试验中真实船舶结构的替代品。本文对一艘10,000 TEU集装箱船在几何长度和板厚的不同比例组合下的一系列真船船体梁进行建模和分析，研究船体梁极限强度和倒塌行为的比例特征，旨在开发一种更精确的比例模型和真实船舶之间极限强度的缩放标准。此外，所提出的比例准则的可靠性和适用性已经通过一系列简化的船体梁模型得到验证，其中的数值结果已经通过比例模型实验进行了验证。结果表明，在几何长度和板厚的不同尺度组合下，基于量纲分析推导出的一阶缩放定律在量化比例模型与真船极限强度的转换过程中存在较大误差。相应地，本文提出了一种经验修正的比例准则，以提高比例模型与真实船舶极限强度转换过程的准确性。