基于概率密度演化的带有环形隔板圆柱形罐体中流体的晃动研究  

Sloshing response of liquid in a cylindrical tank with an annual baffle based on probability density evolution theory

作　　者：柳伟[1] 周叮[1] 刘伟庆[1] 王佳栋[1] 

机构地区：[1]南京工业大学土木工程学院,南京210009

出　　处：《振动与冲击》2015年第11期110-115,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(11172123)

摘　　要：考虑大型储油罐在地震荷载作用下罐体中流体晃动对设备造成的严重影响,工程上常采用防晃板来抑制液体的晃动,其中以环形防晃板的应用最为广泛。基于概率密度演化理论分析了带有环形隔板罐体中流体的晃动响应。首先介绍了求解罐中流体晃动响应的"流体子域法",介绍了广义概率密度演化方程及其差分解法;然后总结了对罐中流体晃动响应进行概率密度演化分析的基本步骤;最后通过算例得出流体液面波高的均值与方差,得到波高峰值出现的时间以及最大波高峰值,这使得对流体晃动响应的把握更为精确,也为储液罐及防晃板的精细化设计提供了依据。Considering serious impacts of fluid sloshing in large-scale storage tanks under seismic loads on the devices,a baffle,especially,an annual baffle is used to control the liquid sloshing widely in practical projects.Here,the probability density evolution theory was used to analyze fluid sloshing in a cylindrical tank with an annual baffle.Firstly, the fluid sub-domain method to solve the response of fluid sloshing was introduced.Then,the basic steps of the analysis method based on the probability density evolution theory for fluid sloshing in a cylindrical tank were summarized.At last, through examples the mean and variance of the wave height of fluid surface were obtained.The appearing instants of the wave height peaks and the maximum wave height peaks were also gained.Thus,the prediction of the fluid sloshing response was more accurate.The results provided a basis for fine design of fluid storage tanks and baffles.

关 键 词：液体晃动响应 流体子域法 概率密度演化 

分 类 号：TB126[理学—工程力学] O323[理学—力学]