Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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Free Vibration Analysis of Aboveground LNG-Storage Tanks by the Finite Element Method

  • Cho, Jin-Rae (School of Mechanical Engineering, Pusan National University) ;
  • Lee, Jin-Kyu (School of Mechanical Engineering, Pusan National University) ;
  • Song, Jeong-Mok (School of Mechanical Engineering, Pusan National University) ;
  • Park, Suk-Ho (Samsung Heavy Industries Co., Ltd.) ;
  • Lee, Joong-Nam (Samsung Heavy Industries Co., Ltd.)
  • Published : 2000.06.01
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Abstract

Recently, in proportion to the increase of earthquake occurrence-frequency and its strength in the countries within the circum-pan Pacific earthquake belt, a concept of earthquake-proof design for huge structures containing liquid has been growing up. This study deals with the refinement of classical numerical approaches for the free vibration analysis of separated structure and liquid motions. According to the liquid-structure interaction, LNG-storage tanks exhibit two distinguished eigenmodes, the sloshing mode and the bulging mode. For the sloshing -mode analysis, we refine the classical rigid-tank model by reflecting the container flexibility. While, for the bulging-mode analysis, we refine the classical uncoupled structural vibration system by taking the liquid free-surface fluctuation into consideration. We first construct the refined dynamic models for both problems, and present the refined numerical procedures. Furthermore, in order for the efficient treatment of large-scale matrices, we employ the Lanczos iteration scheme and the frontal-solver for our test FEM program. With the developed program we carry out numerical experiments illustrating the theoretical results.

Keywords

References

  1. Bathe, K. J., 1996, Finite Element Procedures, Prentice Hall
  2. Chen, W., Haroun, M. A. and Liu, F., 1996, 'Large Amplitude Liquid Sloshing in Seismically Excited tanks,' Earthquake Engineering and Structural Dynamics, Vol. 25, pp. 653-669 https://doi.org/10.1002/(SICI)1096-9845(199607)25:7<653::AID-EQE513>3.0.CO;2-H
  3. Conca, C., Osses, A. and Planchard, J., 1997, 'Added Mass and Damping in Fluid-Structure Interaction,' Computer Methods in Applied Mechanics and Engineering, Vol. 146, pp. 387-405 https://doi.org/10.1016/S0045-7825(96)01246-7
  4. Currie, I. G., 1974, Fundamental Mechanics of Fluids, McGraw-Hill
  5. Gupta, K. K., 1976, 'On a Numerical Solution of the Supersonic Panel Flutter Eigen Problem,' Int. J. for Numerical Methods in Engineering, Vol. 10, pp. 637-645 https://doi.org/10.1002/nme.1620100312
  6. Haroun, M. A. and Tayel, M. A., 1985, 'Axisymmetrical Vibrations of Tanks-Numerical,' J. of Engineering Mechanics, Vol. 111, No. 3, pp. 329-345
  7. Haroun, M. A., 1983, 'Vibration Studies and Tests of Liquid Storage Tanks,' J. of Earthquake Engineering and Structural, Vol. 11, pp. 179-206 https://doi.org/10.1002/eqe.4290110204
  8. Khai, S. L., 1993, 'Seismic Coupled Modeling 'of Axisymmetric Tanks Containing Liquids,' J. of Engineering Mechanics, Vol. 119, No.9, pp. 1747-1761 https://doi.org/10.1061/(ASCE)0733-9399(1993)119:9(1747)
  9. Kwak, J. Y. and Yoo, H. H., 1998, 'Vibration Analysis of a Pretwisted Rotating Blade with a Concentrated Mass,' Transactions, of the KSME(A), Vol. 22, No. 1, pp. 190-197
  10. Morand, H. J.-P. and Ohayon, R., 1995, Fluid Structure Interaction: Applied Numerical Methods, Wiley
  11. Okada, M., Sakai, F. and Sakoda, H., 1975, 'Earthquake Response Analysis of Large Tanks Containing Liquid by Finite Element Method,' Kawasaki Technical Report, Vol. 59, pp. 69-74
  12. Rajasankar, J., Iyer, N. R. and Apparao, T. V. S. R., 1993, 'A New Finite Element Model to Evaluate Added Mass and for Analysis of Fluid -Structure Interaction Problems,' Int. J. for Numerical Method Methods in Engineering, Vol. 36, pp. 997-1012 https://doi.org/10.1002/nme.1620360608
  13. Tedesco, J. W., Landis, D. W. and Kostem, C. N., 1989, 'Seismic Analysis of Cylindrical Liquid Storage Tanks,' Computers & Structures, Vol. 32, No. 5, pp. 1165-1174 https://doi.org/10.1016/0045-7949(89)90416-1
  14. Zienkiewicz, O. C. and Taylor, R. L., 1991, The Finite Element Method, 4th Edition, McGraw-Hill