Shallow water sloshing load characteristics and approximate calculation method

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (1) : 51-60.

VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH

Shallow water sloshing load characteristics and approximate calculation method

YUAN Xinyi, SU Yan*

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Abstract

This study utilizes a high-precision Boussinesq equation to establish a numerical model, combined with experimental methods, to deeply analyze the load characteristics of shallow water sloshing motion within a rectangular tank. The research results indicate that when the dimensionless external excitation frequency approaches the natural frequency of the liquid, the sloshing motion and load time history curves exhibit similar nonlinear characteristics. As the excitation frequency increases, various different forms emerge. By performing Fourier analysis on the load time history curves, the frequency domain distribution characteristics of the load under different external excitation frequencies were obtained. Based on the similarity between the sloshing load and the high-frequency response curve of the free liquid surface wave height, as well as the analysis results of the load characteristics, an approximate method of the sloshing load was established. This approach demonstrates excellent generalization performance under different water depths and excitation amplitudes, reducing the overestimation of wall loads by linear approximations in resonance states, with errors at jump frequencies reduced by more than 50%. The proposed approximate model can quickly estimate wall loads under known wave heights, providing a theoretical basis for engineering design.

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shallow water sloshing / load characteristics / approximation methods / model experiments

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YUAN Xinyi, SU Yan. Shallow water sloshing load characteristics and approximate calculation method[J]. Journal of Vibration and Shock, 2025, 44(1): 51-60

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