基于Lyapunov特征指数的钢制储液罐动力失稳概率分析  

Dynamic instability probability analysis for liquid storage steel tanks subjected to earthquake excitations

作　　者：杨宏康[1] 高博青[1] 

机构地区：[1]浙江大学建筑工程学院,杭州310058

出　　处：《振动与冲击》2016年第1期112-117,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(51178414)

摘　　要：为有效量化储液罐在地震激励下的失稳概率,参考震害报告选取536组三维地震波记录,由压力-位移格式的流固耦合模型建立等效动力扰动方程,然后通过计算动态Lyapunov特征指数确定储液罐的动力失稳概率。选取某10×10~4m^3钢制储油罐作为分析对象,结果表明:水平向地震比竖向地震更易引起动力失稳,多维地震比单维地震更加危险;动力失稳概率随抗风圈的增加而减小;地震动方位、维数及抗风圈设置对"失稳概率-持时"曲线的影响较小。上述方法大幅降低了直接基于流固耦合模型确定储液罐动力失稳概率的计算成本,并能同时考虑地震动峰值与持时变化,从而全面直观反映地震动三要素的影响。To effectively quantify the instability probability of liquid storage steel tanks under earthquake excitations, 536 sets of three-dimensional seismic wave records were selected according to the earthquake damage reports, and the equivalent dynamic perturbation equations were then established based on a fluid-solid coupled model with pressure-displacement form, the dynamic instability probabilities of liquid storage tanks were determined by calculating Lyapunov characteristic exponents. A I0 x 104m3 oil storage steel tank was chosen as an analysis object, the results showed that horizontal earthquakes are more likely to cause dynamic instability than vertical ones be; multidimensional earthquakes are more dangerous than unidimensional ones be; the dynamic instability probability decreases with increase in wind girder; earthquake direction, dimension and wind girder have a slight influence on ＂instability probability - time duration＂ curves; the proposed method greatly reduces the computing cost of dynamic risk analysis of liquid storage tanks based on the fluid-solid coupled model, it can simultaneously consider changes of peak acceleration and time duration of ground motion, so it can comprehensively and intuitively reflect the effects of three essential factors of ground motions.

关 键 词：储液罐 Lyapunov特征指数 动力失稳概率 多维地震 持时 

分 类 号：TU33[建筑科学—结构工程] TE972[石油与天然气工程—石油机械设备]