Seismic response of elevated water reservoirs
DOI:
https://doi.org/10.5459/bnzsee.15.2.68-76Abstract
Equations previously developed for a ground-supported, rigid cylindrical reservoir and based on the classical approximations of linearized, inviscid wave mechanics are extended to cope with the case of elevated reservoirs supported by flexible columns. Solutions for column shear forces and free surface displacements are developed in a form suitable for computer prediction of time-history response. Sensitivity of results to the time-step size and the number of slosh modes is examined, and it is concluded that accurate estimates of water level fluctuations can only be obtained if at least 10 modes are used. A realistic example is presented to illustrate the method, and the response to two accelerograms is compared with predictions obtained from Housner's simplified approach.
References
Aslam, M., Godden, W.G. and Scalise,D.T. "Earthquake Sloshing in Annular and Cylindrical Tanks11, Journal of the Engineering Mechanics Division, ASCE, Vol. 105, No. EM3, Proc. Paper 14643, June, 1979, pp. 371-389. DOI: https://doi.org/10.1061/JMCEA3.0002480
Clough, D.P. "Experimental Evaluation of Seismic Design Methods for Broad Cylindrical Tanks", Report No. UCB/EERC-77/10, Earthquake Eng. Center, Univ. of California, Berkeley, 1977, 273 pp.
Hildebrand, F.B. "Methods of Applied Mathematics", second edition, Prentice-Hall, Englewood Cliffs, 1965, p.264.
Housner, G.W. "Dynamic Pressures on Accelerated Fluid Containers", Bull. Seismological Soc. of America, Vol. 47, 1957, pp.15-35.
Housner, G.W. "Nuclear Reactors and Earthquakes, Appendix F", Atomic Energy Commission Rept. No. TID-7024, 1963, pp.367-389.
Hunt, B. and Priestley, M.J.N. "Seismic Water Waves in a Storage Tank", Bull, Seismological Soc. of America, Vol. 68, No. 2, April, 1978, pp.487-499.
Jacobsen, L.S., "Impulsive Hydro-dynamics of Fluid Inside a Cylindrical Tank and of Fluid Surrounding a Cylindrical Pier", Bull. Seismological Soc. of America, Vol. 39, 1949, pp. 189-204.
Jennings, P.C. (editor). "Engineering Features of the San Fernando Earthquake of Feb. 9, 1971" Rept. No. EERL 71-02 of the Earthquake Eng. Res. Lab., California Inst, of Technology, Pasadena, 1971.
Rinne, J.E. "Oil Storage Tanks, The Prince William Sound, Alaska, Earthquake of 1964 and Aftershocks", Vol. 2, Part A, U.S. Dept. of Commerce, 1967.
Steinbrugge, K.V. and Flores, R. "Engineering Report on the Chilean Earthquake of May 1960 - A Structural Engineering Viewpoint", Bull, of Seismological Soc. of America, Vol. 53, No. 2, 1963.
