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Pounding Probability of Base-Isolated Steel Liquid Storage Tank Under Earthquake Actions

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Abstract

Isolation can be used as an effective shock absorption measure for liquid storage tank (LST), but its defect is that pounding may be caused by earthquake. To study the pounding of sliding isolation LST, the Hertz-Damp model is used to simulate the nonlinear pounding behavior, three particle spring-mass simplified calculation model of sliding isolation LST is established, pounding dynamic equation is solved by Newmark-β method, pounding probability curve is fitted by lognormal distribution probability density function, influence of different types of earthquake on pounding probability are studied, and influence of initial gap and friction coefficient on pounding probability are discussed by selecting 20 near-field pulse, near-field no pulse-like, and far-field seismic waves, respectively. Results show that the pounding probability is the largest under the action of near-field pulse-like earthquake and the smallest under the action of near-field no pulse-like earthquake; the pounding probability is close to zero under small earthquake and about 50% under strong earthquake when the initial gap increases to 0.6 m; increasing initial gap can significantly reduce pounding probability; increase range of friction coefficient is limited for sliding isolation LST, so reducing pounding probability by increasing friction coefficient is not an effective way to reduce pounding probability.

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Abbreviations

u b :

Displacement (m)

g p :

Distance (m)

\(\dot{u}_{0}\) :

Velocity (m/s)

k imp :

Impact stiffness

c imp :

Pounding damping

λ 1, λ 2 :

Material parameters

ν i :

Poisson's ratio

E i :

Elastic modulus (Pa)

m i :

Mass (kg)

ρ i :

Density (kg/m3)

F f :

Friction force (N)

μ :

Friction coefficient

M :

Total mass (kg)

g:

Gravity acceleration (m/s2)

F p :

Impact force (N)

h w :

Liquid level height (m)

R :

Tank radius (m)

ω c :

Frequency (T−1)

T b :

Period (s)

ξ c, ξ i :

Damping ratios

β, γ :

Adjustment coefficients

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Acknowledgements

This paper is a part of the Scientific Research Fund of Institute of Engineering Mechanics, China Earthquake Administration (Grant no. 2020D26), a part of the National Natural Science Foundation of China (Grant no. 51908267), a part of the Gansu Youth Science and Technology Fund Plan (Grant no. 20JR5RA433), a part of the Ningxia Center for Research on Earthquake Protection and Disaster Mitigation in Civil Engineering (Grant no. 2020AAC02007), and a part of the Hongliu Outstanding Young Talents Support Program of Lanzhou University of Technology (Grant no. 04-061807).

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Authors and Affiliations

  1. Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering Mechanics, China Earthquake Administration, Harbin, 150080, People’s Republic of China

    Wei Jing

  2. Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou University of Technology, Lanzhou, 730050, People’s Republic of China

    Wei Jing, Jie Feng & Xuansheng Cheng

  3. Ningxia Center for Research on Earthquake Protection and Disaster Mitigation in Civil Engineering, Ningxia University, Yinchuan, 750021, Ningxia, People’s Republic of China

    Wei Jing

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  1. Wei Jing
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Correspondence to Wei Jing.

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Jing, W., Feng, J. & Cheng, X. Pounding Probability of Base-Isolated Steel Liquid Storage Tank Under Earthquake Actions. J. Vib. Eng. Technol. 9, 1347–1357 (2021). https://doi.org/10.1007/s42417-021-00301-1

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