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浅水晃荡载荷特性与近似计算方法研究

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利用高精度的Boussinesq方程建立数值模型,并结合试验手段,深入分析了矩形水箱内部浅水晃荡运动的载荷特性。研究结果显示,当无因次外部激励频率接近液体固有频率时,晃荡运动与载荷时历曲线表现出相似的非线性特征,随着激励频率的增加,呈现出多种不同的形式。通过对载荷时历曲线进行傅里叶分析,得到了不同外部激励频率下载荷的频域分布特征。基于晃荡载荷与自由液面波高频响曲线的相似性以及载荷特性的分析结果,建立了晃荡载荷的近似计算方法。该方法在不同水深及激励幅值下表现出优良的泛化性能,能够修正共振状态下线性近似对壁面载荷的过高估计,使跳跃频率处误差减少了 50%以上。利用所提出的近似方法能够在已知波高的情况下快速估计壁面载荷,为工程设计提供技术支持。
Shallow water sloshing load characteristics and approximate calculation method
Here,high-precision Boussinesq equation was adopted to establish a numerical model,combine experimental means,and deeply analyze load characteristics of shallow water sloshing motion inside a rectangular water tank.The study results showed that when dimensionless external excitation frequency approaches natural frequency of water sloshing,sloshing motion and load time history curves exhibit similar nonlinear characteristics,and present various different forms with increase in excitation frequency.By performing Fourier analysis for load time history curve,load frequency domain distribution characteristics under different external excitation frequencies were obtained.Based on similarity between sloshing load and free liquid surface wave height frequency response curves as well as analysis results of load characteristics,an approximate calculation method for sloshing load was established.It was shown that this method can exhibit excellent generalization performance under different water depths and excitation amplitudes,and correct the overestimation of linear approximation wall surface load under resonance state to reduce the error at jump frequency by more than 50%;the proposed approximation method can quickly estimate wall surface load under known wave height to provide a technical support for engineering design.

shallow water sloshingload characteristicsapproximation methodmodel experiments

袁心怡、苏焱

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中山大学海洋工程与技术学院,广州 510275

浅水晃荡 载荷特性 近似方法 模型试验

2025

振动与冲击
中国振动工程学会 上海交通大学 上海市振动工程学会

振动与冲击

北大核心
影响因子:0.898
ISSN:1000-3835
年,卷(期):2025.44(1)