[1]刘富鹏,叶忠志,孙晓旭,等.具有不确定参数隔震储液罐的随机振动分析[J].华南地震,2026,46(01):103-111.[doi:10.13512/j.hndz.2026.01.12]
　LIU Fupeng,YE Zhongzhi,SUN Xiaoxu,et al.Random Vibration Analysis of an Isolated Liquid Storage Tank with Uncertain Parameters[J].,2026,46(01):103-111.[doi:10.13512/j.hndz.2026.01.12]
点击复制

具有不确定参数隔震储液罐的随机振动分析()

华南地震[ISSN:1006-6977/CN:61-1281/TN]

卷:
46
期数:
2026年01期
页码:
103-111
栏目:
土木工程防震减灾
出版日期:
2026-01-31

文章信息/Info

Title:
Random Vibration Analysis of an Isolated Liquid Storage Tank with Uncertain Parameters
文章编号:
1001-8662（2026）01-0103-09
作者:
刘富鹏1; 2; 叶忠志2; 孙晓旭3; 4; 秦玉良2; 王立佳2; 孙 瑜2; 张东亮2; 李德春2; 张 月2; 段庆昊1
1.天津大学 水利工程智能建设与运维全国重点实验室，天津 300072;2.海洋石油工程股份有限公司，天津 300461;3.大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室，辽宁 大连116024;4.大连理工大学宁波研究院，浙江 宁波 315016
Author(s):
LIU Fupeng1; 2; YE Zhongzhi2; SUN Xiaoxu3; 4; QIN Yuliang2; WANG Lijia2; SUN Yu2; ZHANG Dongliang2; LI Dechun2; ZHANG Yue2; DUAN Qinghao1
1.State Key Laboratory of Hydraulic Engineering Intelligent Construction and Operation ， Tianjin University ， Tianjin 30072，China;2.Offshore Oil Engineering Co.，Ltd.，Tianjin 300461，China;3.State Key Laboratory of Structural Analysis，Optimization and CAE Software for Industrial Equipment，Dalian University of Technology， Dalian 116024， China;4.Ningbo Institute of Dalian University of Technology ， Ningbo 315016， China
关键词:
基础隔震储液罐; 地震激励; 不确定参数; 多项式维数分解法; 虚拟激励法
Keywords:
Base-isolation liquid storage tank; Seismic excitation; Uncertain parameters; Polynomial dimension?al decomposition method; Pseudo excitation method
分类号:
P753
DOI:
10.13512/j.hndz.2026.01.12
文献标志码:
A
摘要:
考虑结构参数的不确定性，研究了基础隔震储液罐在地震激励下的随机响应。首先，基于Haroun-Housner模型对基础隔震储液罐进行建模，并得到等效线性化后的运动方程。其次，基于虚拟激励法和多项式维数分解法开展具有不确定参数基础隔震储液罐的随机振动分析，并与蒙特卡洛模拟结果进行对比，说明了此研究方法的有效性。最后，根据此研究方法建立的代理模型计算储液罐响应标准差的概率密度，并分析了变异系数对响应标准差的影响。
Abstract:
This paper addresses the uncertainty of structural parameters and investigates the random response of base-isolated liquid storage tanks under seismic excitation. First，the base-isolated liquid storage tanks is modeled based on the Haroun-Housner model，from which an equivalent linearized equation of motion is derived. Second， using the pseudo excitation method combined with polynomial dimensional decomposition，a random vibration anal ysis of the base-isolated liquid storage tank with uncertain parameters is conducted，The results are compared with those from Monte Carlo simulation，confirming the effectiveness of the proposed method. Finally，based on the sur rogate model established through the proposed method， the probability density of the response standard deviation of the liquid storage tank is computed，and the influence of the coefficient of variation on the response standard de viation is analyzed.

参考文献/References:

[1] 林桂武,葛新广,李暾. 混合基础隔震耗能结构基于Clough-Penzien谱的地震动响应的简明解析解[J].振动与冲击,2021,40(01):134-141.
[4] Shrimali M K,Jangid R S. Seismic analysis of base-isolated liquid storage tanks[J]. Journal of Sound and Vibration,2004, 275(1-2):59-75.
[2]孔凡,欧呈根,王恒,等.近场脉冲型地震作用下TMDI隔震结构的随机动力响应及参数优化[J].应用基础与工程科学学报,2023,31(05):1190-1204.
[3] Haroun M A. Vibration studies and tests of liquid storage tanks[J]. Earthquake Engineering & Structural Dynamics, 1983,11(2):179-206.
[5]沈朝勇,郑俊杰,卢民鹤.近场地震作用下大型储罐三维隔震地震响应分析[J].华南地震,2017,37(4):66-71.
[6]毛景远,沈朝勇,黄襄云,等.近场地震下立式隔震储罐试验研究及理论分析[J].华南地震,2018,38(4):90-95.
[7]杜斌,高文生,赵晓光,等.基于ABAQUS的半地下LNG储罐振动台试验数值模拟[J].华南地震,2023,43(3):154-170.
[8]刘富鹏,叶忠志,孙晓旭,等.基于虚拟激励法的隔震LNG储罐随机地震响应分析[J].科技导报,2024,42(13):54-61.
[9] Curadelli O. Equivalent linear stochastic seismic analysis of cylindrical base-isolated liquid storage tanks[J]. Journal of Constructional Steel Research,2013,83:166-176.
[10] Saha S K,Sepahvand K,Matsagar V A,et al. Stochastic analysis of base-isolated liquid storage tanks with uncertain isolator parameters under random excitation[J]. Engineering Structures,2013,57:465-474.
[11]谢明志,杨永清,庄重,等.结构不确定性对高速铁路矮塔斜拉桥概率地震需求的影响[J].铁道科学与工程学报, 2022,19(06):1475-1484.
[12]高原,王晓伟,杨志强.螺栓连接不确定性对机匣动力学特征影响研究[J].机械制造与自动化,2023,52(03):37-40.
[13]周强,李长亮,赵文洋.基于DOE考虑结构参数不确定性的砌体结构地震易损性分析[J].震灾防御技术,2024,19 (03):601-612.
[14]柳振海,李刚,刘博,等.考虑参数不确定性的海上风电结构模型修正方法[J].电力勘测设计,2024,(03):6-11+27.
[15]王晓岳,曲哲.地震动与结构不确定性对建筑结构地震易损性的影响[J].河北工业大学学报,2025,54(01):94-100.
[16] Wen Y K. Method for random vibration of hysteretic system [J]. Journal of the Engineering Mechanics Division,1976, 102(2):249-263.
[17] Caughey T K. Random excitation of a system with bilinear hysteresis[J]. Journal of Applied Mechanics,1960,27(4):649-652.
[18] Liu F,Zhao Y. A hybrid method for analysing stationary random vibration of structures with uncertain parameters[J]. Mechanical Systems and Signal Processing,2022,164(7):108259.
[19] Lin J,Zhang W,Li J. Structural responses to arbitrarily coherent stationary random excitations[J]. Computers &Structures,1994,50(5):629-633.
[20] Kaul M K. Stochastic characterization of earthquakes through their response spectrum[J]. Earthquake Engineer?ing&Structural Dynamics,1978,6(5):497-509

备注/Memo

备注/Memo:
收稿日期：2025-03-03
作者简介：刘富鹏（1988-），男，高级工程师，主要从事可靠性方面的研究。E-mail：liufp6@cooec.com.cn
通信作者：段庆昊（1989-），男，工程师，主要从事结构工程方面的研究。E-mail：tju331@126.com
更新日期/Last Update: 2026-02-03