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Simplified Analysis of Rectangular Liquid Storage Tanks Considering Fluid-Structure Interaction

유체-구조물 상호작용을 고려한 직사각형 액체저장탱크의 단순해석법

  • Lee, Jin Ho (Department of Ocean Engineering, Pukyong National University) ;
  • Cho, Jeong-Rae (Department of Structural Engineering Research, Korea Institute of Civil Engineering and Building Technology)
  • 이진호 (부경대학교 해양공학과) ;
  • 조정래 (한국건설기술연구원 구조연구본부)
  • Received : 2022.07.12
  • Accepted : 2022.08.04
  • Published : 2022.09.01

Abstract

A simplified method for earthquake response analysis of a rectangular liquid storage tank is proposed with fluid-structure interaction considered. In order to simplify the complex three-dimensional structural behavior of a rectangular liquid storage tank, it is assumed that structural deformation does not occur in the plane parallel to the direction in which the earthquake ground motion is applied but in the plane perpendicular to the direction. The structural deformation is approximated by combining the natural modes of the simple beam and the cantilever beam. The hydrodynamic pressure, the structure's mass and stiffness, and the hydrodynamic pressure's added mass are derived by applying the Rayleigh-Ritz method. The natural frequency, structural deformation, pressure, effective mode mass, and effective mode height of the rectangular liquid storage tank are obtained. The structural displacement, hydrodynamic pressure, base shear, and overturning moment are calculated. The seismic response analysis of an example rectangular liquid storage tank is performed using the proposed simplified approach, and its accuracy is verified by comparing the results with the reference solution by the finite element method. Existing seismic design codes based on the hydrodynamic pressure in rigid liquid storage tanks are observed to produce results with significant errors that cannot be ignored.

Keywords

Acknowledgement

본 연구는 환경부 재원으로 환경시설 재난재해 대응기술개발사업의 지원을 받아 연구되었습니다. 이에 감사드립니다(2022002850001).

References

  1. Kim SE, Choi DH, Lee DW. State of the Art Review on Behavior of Liquid Storage Tanks Subjected to Earthquake Load. Journal of the Korean Society of Civil Engineers. 2000;20(4A):607-619.
  2. American Concrete Institute. Seismic Design of Liquid-Containing Concrete Structures and Commentary (ACI 350.3-06). USA. c2006.
  3. European Committee for Standardization. Eurocode 8: Design of structures for earthquake resistance - Part 4: Silos, tanks and pipelines. c2006.
  4. New Zealand Society for Earthquake Engineering. Seismic Design of Storage Tanks. c2009.
  5. Kim JK, Koh HM, Kwahk IJ. Dynamic Response of Rectangular Flexible Fluid Containers. Journal of Engineering Mechanics. 1996;122(9):807-817.
  6. Koh HM, Kim JW, Park JH. Fluid-Structure Interaction Analysis of 3-D Rectangular Tanks by a Variationally Coupled BEM-FEM and Comparison with Test Results. Earthquake Engineering and Structural Dynamics. 1998;27:109-124. https://doi.org/10.1002/(SICI)1096-9845(199802)27:2<109::AID-EQE714>3.0.CO;2-M
  7. Kim JK, Park JY, Jin BM, Joe YH. The Rocking Response of Three Dimensional Rectangular Liquid Storage Tank. Journal of the Earthquake Engineering Society of Korea. 1998;2(1):23-34.
  8. Kim JK, Park JY, Jin BM. The Soil-Structure Interaction in Three Dimensional Rectangular Liquid Storage Tanks. Journal of the Korean Society of Civil Engineers. 1998;18(I-6):775-787.
  9. Lee JH, Lee SH. Characteristics of Earthquake Responses of a Rectangular Liquid Storage Tanks Subjected to Bi-directional Horizontal Ground Motions. Journal of Computational Structural Engineering Institute of Korea. 2020;33(1):45-53. https://doi.org/10.7734/COSEIK.2020.33.1.45
  10. Lee JH, Cho JR, Han SW. Time-Domain Earthquake Response Analysis of Rectangular Liquid Storage Tank Considering Fluid-Structure-Soil Interaction. Journal of Computational Structural Engineering Institute of Korea. 2020;33(6):383-390. https://doi.org/10.7734/COSEIK.2020.33.6.383
  11. Lee CB, Lee JH. Nonlinear Dynamic Response of a Concrete Rectangular Liquid Storage Tank on Rigid Soil Subjected to Three-Directional Ground Motion. Applied Sciences. 2021;11:4688.
  12. Hashemi S, Saadatpour MM, Kianoush MR. Dynamic analysis of flexible rectangular fluid containers subjected to horizontal ground motion. Earthquake Engineering and Structural Dynamics. 2013;42:1637-1656. https://doi.org/10.1002/eqe.2291
  13. Committee on Gas and Liquid Fuel Lifelines of the ASCE Technical Council on Lifeline Earthquake Engineering. Guidelines for the Seismic Design of Oil and Gas Pipeline Systems. American Society of Civiler Engineers. c1984.
  14. Housner GW. Dynamic Pressure on Fluid Containers. Technical Information (TID) Document 7024, Chapter 6 and Appendix F. U.S. Atomic Energy Commission. c1963.
  15. Chopra AK. Dynamics of Structures. Theory and Applications to Earthquake Engineering. Pearson Education Inc. c2017.