【摘要】 根据小幅晃动条件下利用速度势函数推导的计算液体晃动频率和内部Rayleigh阻尼的特征值方程,利用简化处理转化为一般的广义特征值问题,并针对这种非对称大型稀疏矩阵采用了Arnoldi迭代方法,求解得到晃动频率和内部阻尼。将利用Stokes边界层理论计算得到边界上的阻尼与内阻尼之和作为晃动的等效阻尼,通过两个算例比较计算结果接近实验结果。这种方法可以计算任意形状贮箱内液体的小幅晃动频率和晃动阻尼。更多还原

【Abstract】 This paper is concerned with the calculation of damping and natural frequencies of sloshing liquid with small amplitude in fixed containers. An eigenvalue equation is presented and converted to a non-symmetric general eigenvalue problem. Boundary layer damping based on the Stokes theory is also integrated into the equivalent damping. Two examples are given and compared with the theoretic and experimental data. The present new algorithm can be used to calculate the damping and natural frequencies of small amplitude sloshing for containers with arbitrary geometry shape.更多还原