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
详细信息 本馆镜像全文    |  推荐本文 | | 获取馆网全文
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.
引文
[1]温德超,郑兆昌,孙焕纯.储液罐抗震研究的发展[J].力学进展,1995(1):60-76.WEN Zhao-de,ZHENG Zhao-chang,SUN Huan-chun.Develepment of aseismic research on liquid storage tanks[J].Advances in Mechanics,1995,(1):60-76.
    [2]万水,朱德懋.横向环形防晃板对液体晃动特性的影响[J].南京航空航天大学学报,1996,41(4):470-474.WAN Shui,ZHU De-mao.Investigation of the effect of the ring baffle on the liquid slosh suppresion[J].Transactions of Nanjing University of Aeronautics&Astronautics,1996,41(4):470-474.
    [3]Helou A H.Dynamics of internal waves in cylindrical tank[J].Waterway,Port,Coastal and Ocean Engineering,1985,111(2),453-457.
    [4]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998.
    [5]Soong T T,Grigoriu M.Random vibration of mechanical and structural systems[M].New Jersey:Prentice Hall,1993.
    [6]胡聿贤.地震工程学[M].2版.北京:地震出版社,2006.
    [7]王佳栋,周叮,刘伟庆.带环形隔板圆柱形储液罐中液体晃动的解析研究[J].振动与冲击,2010,29(3):54-59.WANG Jia-dong,ZHOU Ding,LIU Wei-qing.Analytical solution for liquid sloshing with small amplitude in a cylindrical tank with an annual baffle[J].Jounal of Vibraraion and Shock,2010,29(3):54-59.
    [8]王佳栋,周叮,刘伟庆.水平激励下带环形刚性隔板圆柱形储液罐中流体的晃动响应[J].力学季刊,2011,32(2):166-172.WANG Jia-dong,ZHOU Ding,LIU Wei-qing.Sloshing response of liquid in cylindrical tank with a rigid annual baffle under horizontal loads[J].Chinese Quarterly of Mechanics,2011,32(2):166-172.
    [9]Biswal K C,Bhattacharyya S K,Sinha P K.Dynamic response analysis of a liquid-filled cylindrical tank with annular baffle[J].Journal of Sound and Vibration,2004,274(1/2):13-37.
    [10]Zhou D,Liu W Q.Hydro-elastic vibrations of flexible rectangular tanks partially filled with liquid[J].International Journal for Numerical Methods in Engineering,2007,71:149-174.
    [11]李杰,陈建兵.随机振动理论与应用新进展[M].上海:同济大学出版社,2009.
    [12]李杰,陈建兵,张琳琳,等.中国大陆地区年最大平均风速的概率密度函数[J].自然灾害学报,2006,15(5):76-82.LI Jie,CHEN Jian-bing,ZHANG Lin-lin.Probability density function of yearly maximum average wind speed in mainland of chian[J].Jounal of Natural Disasters,2006,15(5):76-82.
    [13]李杰,陈建兵.随机动力系统中的广义密度演化方程[J].自然科学进展,2006,16(6):712-719.LI Jie,CHEN Jian-bing,Generalized density evolution equation in a random dynamical system[J].Progress in Natrue Science,2006,16(6):712-719.

版权所有:© 2023 中国地质图书馆 中国地质调查局地学文献中心