Abstract
In this paper, the dynamic characteristics of the liquid slosh in the common bulkhead tanks are investigated by the numerical method, experimental method, and equivalent mechanical model. Research results show that the first slosh frequency increases with the increase of liquid depth ratio. Nevertheless, the second slosh frequency decreases with the increase of the liquid depth ratio. In addition, two examples are presented to validate the improved moving pulsating ball model and the results are well in agreement with the numerical and experimental results. Furthermore, the complicated multi-modal or higher order modal characters of the nonlinear liquid sloshing in common bulkhead (CBH) tank are investigated by computational fluid dynamics (CFD), and it is shown that the higher order mode patterns can still appear obviously under strong excitation. Finally, the rotary sloshing and symmetrical rotary sloshing phenomenon in the CBH tank is revealed experimentally and it was found that rotary sloshing would become unstable and evolves into the symmetrical rotary sloshing due to value changes of excitation amplitude and excitation frequency. This symmetrical rotary sloshing cycle would start intermittently at a specific rhythm depended on the frequency of the excitation.
摘要
本文通过数值方法、实验方法和等效力学模型方法研究了共底贮箱内液体晃动的动力学特性. 研究结果表明, 一阶晃动频率随 着充液比的增加而增大. 然而, 二阶晃动频率随着充液比的增加而减小. 通过两个算例来验证改进的移动脉动球模型, 其结果与数值和 实验结果非常吻合. 此外, 通过CFD研究了CBH槽内非线性液体晃动的复杂多模态或高阶模态特征, 结果表明, 在强迫激励下能明显观 察到高阶晃动模态. 最后, 通过实验揭示了共底贮箱内的旋转晃动和对称旋转晃动现象. 发现由于激励振幅和激励频率的数值变化, 旋 转晃动会变得不稳定, 并发展为对称旋转晃动. 对称旋转晃动将以特定的节奏间歇性地开始, 这取决于激励的频率.
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Acknowledgements
The work was supported by the National Natural Science Foundation of China (Grant Nos. 12132002 and 11772049).
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Bole Ma: Conceptualization, Methodology, Software, Validation, Formal analysis, Writing — original draft. Baozeng Yue: Resources, Writing — review & editing, Supervision, Project administration, Funding acquisition. Feng Liu: Writing — review & editing. Yu Lu: Validation. Cuicui Liu: Investigation. Xiaodong Guan: Supervision.
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Ma, B., Yue, B., Liu, F. et al. Study on the dynamical characteristics and experimental validation for liquid sloshing in a common bulkhead tank. Acta Mech. Sin. 39, 523127 (2023). https://doi.org/10.1007/s10409-023-23127-x
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DOI: https://doi.org/10.1007/s10409-023-23127-x