Analyzing Frequency of Conical (∆ shaped) Tanks
Subject Areas : Engineering
1 - National Iranian Oil Company (NIOC), Iran
Keywords:
Abstract :
[1] Jacobson L.S., Ayre R.S., 1951, Hydrodynamic experiments with rigid cylindrical tanks subjected to transient motion, Bulletin of the Seismological Society of America 41: 15-35.
[2] Graham E.W., Rodriguez A. M., 1979, The characteristics of fuel motion which affect airplane dynamics, Journal of Applied Mechanics 19(3): 381-388.
[3] Abramson H.N, 1966, The Dynamic Behavior of Liquid in Moving Containers with Applications to Space Vehicle Technology, NASA SP-106, National Aeronautic and Space Administration, Washington.
[4] Feschenko S. F., Lukovsky I. A., Rabinovich B. I., Dokuchaev L. V, 1969, The methods for determining the added fluid masses in mobile cavities Kiev, Naukova Dumka 250: 13.
[5] Dokuchaev L. V, 1964, On the solution of a boundary value problem on the sloshing of a liquid in conical cavities, Applied Mathematics and Mechanics 28: 151-154.
[6] Abramson H. N., 1968, NASA Space Vehicle Design Criteria (Structures), NASA SP-8009 Propellant Slosh Loads, Washington.
[7] Mikishev G. N., Dorozhkin N. Y, 1961, An experimental investigation of free oscillations of a liquid in containers, Izvestiya Akademii Nauk SSSr, Otdelenie Tekhnicheskikh Nauk, Mekhanika, Mashinostroenie 4: 48-53.
[8] Bauer H. F, 1982, Sloshing in conical tanks, Acta Mechanica 43(3-4): 185-200.
[9] Bauer H. F., Eidel W, 1988, Non–linear liquid motion in conical container, Acta Mechanica 73 (1-4): 11-31.
[10] Lukovsky I. A., Bilyk A. N., 1985, Forced nonlinear oscillation of a liquid in moving axial-symmetric conical tanks in book: Numerical-Analytical Methods of Studying the Dynamics and Stability of Multidimensional Systems, Institute of Mathematics, Kiev.
[11] Schiffner K, 1983, A modified boundary element method for the three-dimensional problem of fluid oscillation, Proceedings of the Fifth International Conference Berlin, Hiroshima, Japan.
[12] Yamaki N., Tani J., Yamaji T., 1984, Free vibration of a clamped-clamped circular cylindrical shell partially filled with liquid, Journal of Sound Vibration 94: 531-550.
[13] Gupta R. K., Hutchinson G. L., 1988, Free vibration analysis of liquid storage tanks, Journal of Sound Vibration 122: 491-506.
[14] Mazuch T., Horacek J., Trnka J., Vesely J., 1996, Natural modes and frequencies of a thin clamped-free steel cylindrical storage tank partially filled with water, FEM and measurement, Journal of Sound and Vibration 193: 669-690.
[15] Han R. P. S., Liu J. D., 1994, Free vibration analysis of a fluid-loaded variable thickness cylindrical tank, Journal of Sound and Vibration 176: 235-253.
[16] Jeong K. H., Kim K. J., 1998, Free vibration of a circular cylindrical shell filled with bounded compressible fluid, Journal of Sound and Vibration 217: 197-221.
[17] Jeong K. H., Kim K. S., Park K. B., 1997, Natural frequency characteristics of a cylindrical tank filled with bounded compressible fluid, Journal of the Computational Structural Engineering Institute of Korea 10(4): 291-302.
[18] Dutta S., Mandal A., Dutta S.C., 2004, Soil structure interaction in dynamic behavior of elevated tanks with alternate frame staging configurations, Journal of Sound and Vibration 277: 825-853.
[19] Shrimali M.K., Jangid R.S., 2003, Earthquake response of isolated elevated liquid storage steel tanks, Journal of Constructional Steel Research 59: 1267-1288.
[20] Damatty El A.A., Sweedan A.M.I., 2006, Equivalent mechanical analog for dynamic analysis of pure conical tanks, Thin-Walled Structures 44: 429-440.
[21] Damatty El A., Korol R. M., Tang L. M., 2000, Analytical and experimental investigation of the dynamic response of liquid-filled conical tanks, Proceedings of the World Conference of Earthquake Engineering, New Zelan.
[22] Housner G.W., 1963, Dynamic behavior of water tanks, Bulletin of the Seismological Society of America 53:381-387.
[23] Haroun M.A., Housner G.W., 1981, Seismic design of liquid storage tanks, Proceeding of the Journal of Technical Councils, ASCE.
[24] Yih C.S., 1980, Stratified Flows, Academic Press Inc, New York.