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A semi-analytical method for structure-internal liquid interaction problems

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Abstract

A composite structure-internal liquid element is proposed in this paper. Through the use of analytical functions in two orthogonal directions, the three-dimensional problem of coupled structure-internal liquid vibration is reduced to a one-dimensional one, resulting in a drastic reduction in computing efforts.

Cylindrical and conical frastum composite elements are proposed to suit different problems, and examples are presented to demonstrate the accuracy of the method.

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References

  1. Cheung, Y.K.,Finite Strip Method in Structural Analysis, Pergamon Press. (1976).

  2. Housner, G.W., Dynamic pressures on accelerated fluid containers,Bull. Seim. Soc. Amer.,47, 1 (1957).

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  3. Jacobsen, L.S., Impulsive hydrodynamics of fluid inside a cylindrical tank and of fluid surrounding a cylindrical pier,Bull. Seim. Soc. Amer.,39, July (1949).

  4. Veletsos, A.S., et. al., Earthquake response of liquid storage tanks,Proc. Annual EMD Specially Conf. ASCE, (1977).

  5. Cao Zhiyuan and Y.K. Cheung, Dynamic analysis of prismatic structures embedded in infinite soil medium. Proc. 5-th Inter. Conf. Num. Meth. Geomech., (1985).

  6. Haroun, M.A., Dynamic analysis of liquid storage tanks,EERL Rep. 80-04, (1980).

  7. Shaabam S.H. and W.A. Nash, Finite element analysis of a seismically excited cylindrical storage tank, ground supported and partially filled with liquid, Dept. Civil Engl., Uni. Mass., 01002, July (1976).

  8. Edwards, N.W., A Procedure for dynamic analysis of cylindrical liquid storage tanks, Ph. D. Thesis of Michigan Uni., (1969).

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Authors and Affiliations

  1. Institute of Engineering Mechanics, Academia Sinica, China. At Present Visiting Research Scholar, Department of Civil Engineering, University of Hong Kong, Hong Kong

    Cao Zhi-yuan

  2. Department of Civil Engineering, University of Hong Kong, Hong Kong

    Y. K. Cheung (Professor and Head)

Authors
  1. Cao Zhi-yuan
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  2. Y. K. Cheung
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Zhi-yuan, C., Cheung, Y.K. A semi-analytical method for structure-internal liquid interaction problems. Appl Math Mech 6, 1–8 (1985). https://doi.org/10.1007/BF01895678

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  • DOI: https://doi.org/10.1007/BF01895678

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