【作者】 刘勇；

【导师】 黄志龙；

【作者基本信息】 浙江大学 ， 固体力学， 2007， 硕士

【摘要】 大型储液罐是国家战略石油储备库等的关键设备之一，其发展趋势是大型化，在发生地震时一旦遭到破坏，后果将会不堪设想，因而对储液罐的安全性分析极具重要性。近二十年来，一些研究者已对水平地面加速度作用下储液罐的反对称振动和竖向地面加速度作用下的轴对称振动问题进行过探讨。本文在前人研究成果基础上提出同时受水平及竖向地震激励储液罐的动力分析方法。本文对地震作用下的储液罐动力响应进行分析，首先将罐内液体简化为无粘、无旋、不可压缩的理想流体。罐内液体压强被分为以下几个部分：由于地面加速度产生；由于液体晃动产生和由于罐体的相对变形产生。在一定的边界条件下求解拉普拉斯方程得到流体作用于罐壁的压力分布。通过假定罐的可能变形模式，用虚功原理导出了罐的运动方程。在此基础上用一个储液罐实例详细分析了储罐在三种典型地震波作用下的动力响应，并对水平与竖向地震作用下储液罐的动力响应与水平地震作用下储液罐的动力响应进行分析比较，结果表明地震竖向分量对储罐响应的影响相对较小，可以忽略，为地震作用下储液罐分析提供依据。更多还原

【Abstract】 Liquid storage tanks are very important components of industrial andagricultural facilities. The vulnerability of cylindrical tanks subjected to earthquakeground motion has been exposed in almost every major earthquake. It is necessary tostudy the behavior of seismically excited cylindrical tanks.In the present thesis, emphasis is laid on the dynamical analysis of liquid storagetank subjected to horizonal and vertical earthquake excitations. It is assumed that theliquid is an ideal fluid which is inviscid, incompressive and non-rotational. The fluidpressure is split into three components, fluid pressure due to the ground acceleration,fluid pressure due to sloshing and fluid pressure caused by the tank deformationrelative to the base circle. In order to get the dynamical response of the tank, sometypical tank deformation shapes is assumed. Based on the principle of virtual work,governing equations of the system are deduced, dynamical responses due to threetypical earthquakes on a practical tank are studied carefully. To investigate theinfluence of vertical earthquake, the dynamical responses of the tank under horizonalexcitation are compared with those under horizonal and vertical earthquakes. Theresults show that the influence of vertical earthquake is of minor relevance and mightbe negleted. The results can be used in seismic design of storage tanks.更多还原