本文研究了带刚性隔板的矩形贮箱在水平与俯仰激励下的晃动响应。引入人工界面，将复杂流体域划分成若干个边界简单子域。基于叠加原理，采用分离变量法求解各个子域自由晃动的速度势函数。将水平激励下的速度势函数分解为脉冲速度势与对流速度势，利用模态叠加法得到对流速度势。将脉冲速度势与对流速度势代入自由液面波动方程，得到含有广义坐标的动力响应方程。通过使产生的动水剪力与动水弯矩相等，建立水平激励下的等效力学模型。利用等效力学模型，近似考虑贮箱在俯仰激励下的动力响应。将利用Newmark β法计算得到的数值结果与有限元结果进行了比较，显示很好的一致性，并对隔板长度、高度、充液高宽比等参数进行分析。
Abstract
The sloshing response of liquid in a rectangular container with a rigid baffle under horizontal and pitching loads was studied. By introducing artificial interfaces, the complicated liquid domain was divided into several simple domains. Based on the superposition principle, the method of separation of variables was used to obtain the velocity potential of every subdomain. The potential function under horizontal loads was assumed to be the sum of impulse potential and convective potential. The convective potential was obtained by the mode superposition method. After substituting the impulsive and convective potential function into the free surface wave conditions, the dynamic response equations with generalized coordinates was established. According to equal dynamic shear and moment, the equivalent mechanical model under lateral loads was constructed. An approximate analysis of dynamic response of container under pitching excitation was carried out. The results calculated by the Newmark β method were compared with those obtained by the finite element method, which showed excellent consistency. Analysis of the length and height of baffle and the ratio of height to width of the fluid in the adequate was carried out.
关键词
流固耦合 /
隔板 /
矩形贮箱 /
等效力学模型 /
俯仰运动
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Key words
fluid-structure interaction /
baffle /
rectangular container /
equivalent mechanical model /
pitching motion;
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