非线性激励作用下载液容器内液体晃动的数值模拟

摘要

通过对周期性边界激励下的圆柱形容器内液体晃动的数值模拟,分析了载液容器壁面受力与外部激励频率、摆动半径之间的变化关系,以及液体晃动幅值、频率与外部激励频率、摆动半径之间的变化关系.分析结果表明:载液容器内的液体在经历了一段调整期后,晃动幅值趋于稳定,晃动频率接近激励频率；当外界的激励频率接近液体固有频率时,液体晃动幅值增大,对容器壁面产生的冲击力增大；液体的晃动频率与摆动半径无关,晃动幅值随摆动半径的增大而减小.该结果对于非线性激励作用下载液容器内液体晃动的研究、保证载液容器的运行的安全,具有重要的参考价值.%Numerical simulation on the liquid sloshing in a cylindrical tank with partially filled liquid by periodic boundary excitation was performed to determine the influences of external excitation frequency and swing radius upon the force exerted on the container wall, and upon the liquid sloshing amplitude and frequency. The numerical results show that after a period of adjustment, the sloshing amplitude will be stable and the sloshing frequency approaches the external excitation frequency. When the external excitation frequency approaches the liquid natural frequency, the liquid sloshing amplitude will increase and the impact force exerted on container wall will be stronger. In addition, the liquid sloshing frequency is irrelevant to the swing radius while the liquid sloshing amplitude decreases with an increase in swing radius.