基于Lyapunov特征指数的钢制储液罐动力失稳概率分析

杨宏康,高博青

振动与冲击 ›› 2016, Vol. 35 ›› Issue (1) : 112-117.

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PDF(2546 KB)
振动与冲击 ›› 2016, Vol. 35 ›› Issue (1) : 112-117.
论文

基于Lyapunov特征指数的钢制储液罐动力失稳概率分析

  • 杨宏康,高博青
作者信息 +

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

  • YANG Hong-kang, GAO Bo-qing
Author information +
文章历史 +

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10万m3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。

Abstract

To effectively quantify the instability probability of liquid storage 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 the coupled fluid-solid model with displacement-pressure form, and the dynamic instability probabilities of liquid storage tanks were determined by calculating the Lyapunov characteristic exponents. An 100,000 m3 steel oil storage tank was chose as analysis object and the results show that, horizontal earthquakes were more likely to cause dynamic instability than vertical ones, multidimensional earthquakes were more dangerous than unidimensional ones, and the dynamic instability probability was decreased with the increase of wind girder, earthquake direction and dimension and wind girder had slight influence on “instability probability - time duration” curves. The proposed method extremely reduces the computing cost of dynamic risk analysis of liquid storage tanks based on the coupled fluid-solid model, and can simultaneously consider the change of peak acceleration and time duration of ground motion, and thus 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

Key words

liquid storage tanks / Lyapunov characteristic exponents / dynamic instability probability / multidimensional earthquakes / time duration

引用本文

导出引用
杨宏康,高博青. 基于Lyapunov特征指数的钢制储液罐动力失稳概率分析[J]. 振动与冲击, 2016, 35(1): 112-117
YANG Hong-kang, GAO Bo-qing. Dynamic instability probability analysis of steel liquid storage tanks subjected to earthquake excitations[J]. Journal of Vibration and Shock, 2016, 35(1): 112-117

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Yang Hong-kang, Gao Bo-qing. Lyapunov characteristic exponents and dynamic elastic instability of steel liquid storage tanks[J]. Journal of Shanghai Jiao Tong University, accepted.
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