Simplified mechanical model for a horizontal storage tank considering liquid sloshing under horizontal seismic excitation

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (13) : 125-133.

LV Yuan1, SUN Jiangang2, SUN Zongguang1, CUI Lifu2, WANG Zhen2

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Abstract

Here, based on aseismic design of horizontal storage tanks, a simplified mechanical model for a horizontal storage tank under lateral and longitudinal seismic excitations was deduced. Firstly, using the velocity potential stiffness theory, a reasonable potential function was derived according to boundary conditions. Its semi-analytical and semi-numerical mathematical model was parameterized and fitted to a simple parametric formula. According to expressions for base shear force and overturning bending moment, a simplified dynamic model for a horizontal tank considering liquid sloshing was constructed to be easy to apply in engineering. The simplified mechanical model further considering action of horizontal seismic excitation was derived using the differential principle. The equivalent principle was used to further simplify the calculation process of the simplified mechanical model. Finally, engineering examples were selected, and contrastive analysis was done for numerical calculation results using the theoretical mathematical model and those using the finite element simulation. It was shown that the maximum difference rate between them is less than 15%, so the reliability of the proposed simplified mechanical model is verified.

Key words

horizontal storage tank / potential fluid theory / liquid sloshing / simplified mechanical model / ground motion

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LV Yuan1, SUN Jiangang2, SUN Zongguang1, CUI Lifu2, WANG Zhen2. Simplified mechanical model for a horizontal storage tank considering liquid sloshing under horizontal seismic excitation[J]. Journal of Vibration and Shock, 2020, 39(13): 125-133

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