The paper is devoted to issues of numerical simulation of free surface elevations in rigid circular cylindrical fluid-filled tanks under external vertical and horizontal loadings with usage boundary element methods. The liquid in reservoirs is assumed to be ideal and incompressible, and its flow is irrotational. The influence of horizontal and vertical baffle installation is considered and damping effects due baffles are estimated. The influence of elasticity effects is considered. Free, forced and parametrical vibrations are examined. Modes of the free liquid vibrations present basic functions for analysis of forced and parametric vibrations. The modes and frequencies of the free liquid vibrations in baffled and un-baffled circular cylindrical tanks are received by using single- and multi-domain boundary element methods. The new effective procedure is developed for numerical solution of resolving system of singular integral equations. The problems of forced vibrations are reduced to solving the systems of second order ordinary differential equations. For parametric vibrations the system of Mathieu equations with non-zero right-hand parts is obtained. The numerical simulation of different kinds of loadings and baffle configurations is accomplished. The instability conditions of the fluid-filled tank subjected to both horizontal and vertical excitations are considered.

本文致力于使用边界元方法对在外部垂直和水平载荷下的刚性圆柱状流体填充罐的自由表面标高进行数值模拟的问题。假定储层中的液体是理想的且不可压缩，并且其流动是无旋转的。考虑水平和垂直挡板安装的影响，并估算挡板引起的阻尼效应。考虑弹性效应的影响。检查自由振动，强制振动和参数振动。自由液体振动的模式呈现出用于分析强制振动和参数振动的基本功能。采用单域和多域边界元方法，分别获得了带折流和不带折流的圆柱罐中液体自由振动的模式和频率。为奇异积分方程组的数值解开发了新的有效程序。强迫振动的问题减少到解决二阶常微分方程组。对于参数振动，获得了具有非零右手部分的Mathieu方程组。完成了不同类型的载荷和挡板配置的数值模拟。考虑了水平和垂直激励下充液罐的不稳定性条件。对于参数振动，获得了具有非零右手部分的Mathieu方程组。完成了不同类型的载荷和挡板配置的数值模拟。考虑了水平和垂直激励下充液罐的不稳定性条件。对于参数振动，获得了具有非零右手部分的Mathieu方程组。完成了不同类型的载荷和挡板配置的数值模拟。考虑了水平和垂直激励下充液罐的不稳定性条件。