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

PDF(2546 KB)

Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (1) : 112-117.

YANG Hong-kang, GAO Bo-qing

Author information +

History +

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.

Key words

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

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

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

References

[1] Ellingwood B R. Earthquake risk assessment of building structures[J]. Reliability Engineering & System Safety, 2001, 74(3): 251-262.
[2] Cooper T W. A study of the performance of petroleum storage tanks during earthquakes, 1933-1995[R]. Gaithersburg, MD: US National Institute of Standards and Technology, 1997.
[3] O'Rourke M J, So P. Seismic fragility curves for on-grade steel tanks[J]. Earthquake spectra, 2000, 16(4): 801-815.
[4] Eidinger J M, Avila E A, Ballantyne D B, et al. Seismic fragility formulations for water systems[R]. Washington, DC: American Lifelines Alliance, 2001.
[5] Berahman F, Behnamfar F. Seismic fragility curves for un-anchored on-grade steel storage tanks: Bayesian approach[J]. Journal of Earthquake Engineering, 2007, 11(2): 166-192.
[6] Iervolino I, Fabbrocino G, Manfredi G. Fragility of standard industrial structures by a response surface based method[J]. Journal of earthquake engineering, 2004, 8(6): 927-945.
[7] 孙建刚, 张荣花, 蒋峰. 储罐地震易损性数值仿真分析[J]. 哈尔滨工业大学学报, 2009, 41(12): 138-142.
Sun Jian-gang, Zhang Rong-hua, Jiang Feng. Numerical simulation analysis on the seismic fragility of storage-tank[J]. Journal of Harbin Institute of Technology, 2009, 41(12): 138-142.
[8] Chen Z, Sun B, Yu C, et al. Comparison of the strength design and prevention method of elephant foot buckling among countries' standards of oil tanks[C]// Proceedings of the ASME 2009 pressure vessels and piping division conference. Prague, Czech Republic: ASME, 2009: 461-466.
[9] Berahman F, Behnamfar F. Probabilistic seismic demand model and fragility estimates for critical failure modes of un-anchored steel storage tanks in petroleum complexes[J]. Probabilistic Engineering Mechanics, 2009, 24(4): 527-536.
[10] Buratti N, Tavano M. Dynamic buckling and seismic fragility of anchored steel tanks by the added mass method[J]. Earthquake Engineering & Structural Dynamics, 2014, 43(1): 1-21.
[11] Moslemi M, Kianoush M R. Parametric study on dynamic behavior of cylindrical ground-supported tanks[J]. Engineering Structures, 2012, 42: 214-230.
[12] Wilson E L. Three-dimensional static and dynamic analysis of tructures[M]. 3rd ed. Berkeley, California: Computers and Structures, Inc, 2002: 160-180.
[13] 杨宏康, 高博青. 钢制储液罐的Lyapunov特征指数及弹性动力失稳[J]. 上海交通大学学报, 已录用.
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.
[14] Zareian F, Krawinkler H. Assessment of probability of collapse and design for collapse safety[J]. Earthquake Engineering & Structural Dynamics, 2007, 36(13): 1901-1914.
[15] GB50341-2003. 立式圆筒形钢制焊接油罐设计规范[S]. 北京: 中国计划出版社, 2003.
GB50341-2003. Code for design of vertical cylindrical welded steel oil tanks[S]. Beijing: China Planning Press, 2003.