A Simplified Mechanical Analog for Characterization of the Axisymmetric Response of Combined Shells Under Internal Hydrodynamic Pressure


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Abstract


Elevated liquid-storage tanks are commonly built with a combined vessel consisting of a truncated cone and a superimposed top cylindrical cap. As a result of the inclination of the walls of the conical segment, compressive meridional stresses are induced in the shell by the hydrostatic pressure of the contained fluid and the hydrodynamic pressure associated with vertical ground excitation. The current paper aims at identifying the dynamic characteristics of liquid-filled combined tanks subjected to vertical ground excitation. Numerical analysis is conducted based on a coupled finite-boundary element formulation that accounts for the fluid-structure interaction associated with this type of analysis. A mechanical analog is developed to simulate the seismic response of liquid-filled combined vessels to vertical base excitation. The mass of the contained fluid is idealized as rigid and flexible components connected by a linear spring that represents the flexibility of the vessel walls. The proposed analog provides a simplified tool to predict seismically-induced shell forces due to the vertical component of earthquake excitation. In addition, the analog can be used to evaluate the maximum overall forces acting on the supporting structure.
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Keywords


Combined Shells; Axisymmetric; Hydrodynamic; Seismic; Fluid-Structure Interaction

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References


M.A. Haroun, and M.A. Tayel, Response of Tanks to Vertical Seismic Excitations, Earthquake Engineering and Structural Dynamics, Vol. 13: 583-595, 1985.
http://dx.doi.org/10.1002/eqe.4290130503

AWWA Standards for Welded Steel Tanks for Water Storage. ANSI/AWWA-D100-05, American Water Works Association, 2005, Denver, Colorado.
http://dx.doi.org/10.12999/awwa.d106.16

API Standard 650, Welded Steel Tanks for Oil Storage, 10th Edition, American Petroleum Institute, 1998, Washington, D.C.

J.R. Cho, J.M. Song, and J.K. Lee, Finite Element Techniques for the Free-Vibration and Seismic Analysis of Liquid-Storage Tanks, Finite Elements in Analysis and Design Vol. 37: 467-483, 2001.
http://dx.doi.org/10.1016/s0168-874x(00)00048-2

A.S. Veletsos, and J.Y. Yang, Dynamics of fixed base liquid storage tanks, U.S.-Japan Seminar on Earthquake Engineering Research with Emphasis on Lifeline Systems, Japan Society for Promotion of Earthquake Engineering, pp. 317-341, Tokyo, Japan, 1976.

A.S. Veletsos, and A. Kumar, Dynamic response of vertically excited liquid storage tanks, 8th World Conf. on Earthquake Engineering, Vol. II, pp. 453-459, California, USA, 1984.

M.A. Haroun, and M.A. Tayel, Axisymmetrical Vibrations of Tanks-Numerical, Journal of Engineering Mechanics, ASCE, Vol. 111(Issue 3): 329-345, 1985.
http://dx.doi.org/10.1061/(asce)0733-9399(1985)111:3(329)

M.A. Haroun, and M.A. Tayel, Axisymmetrical Vibrations of Tanks-Analytical, Journal of Engineering Mechanics, ASCE, Vol. 111(Issue 3): 346-358, 1985.
http://dx.doi.org/10.1061/(asce)0733-9399(1985)111:3(346)

A.S. Veletsos, and Y. Tang, Dynamics of Vertically Excited Liquid Storage Tanks, Journal of Structural Engineering, ASCE, Vol. 112 (Issue 6): 1229-1246, 1986.
http://dx.doi.org/10.1061/(asce)0733-9445(1986)112:6(1228)

D. Vandepitte, J. Rathe, B. Verhegghe, R. Paridaens, and C. Verschaeve, Experimental investigation of hydrostatically loaded conical shells and practical evaluation of the buckling load, State-of-the-Art Colloquium, pp. 375-399, Universitat Stuttgart, Germany, 1982.
http://dx.doi.org/10.1007/978-3-642-49334-8_13

A.M.I. Sweedan, Seismic design and behaviour of elevated conical tanks, Ph.D. dissertation, Dept. of Civil and Env. Eng., University of Western Ontario, London, Canada, 2003.

A.M.I. Sweedan, and A.A. El Damatty, Shake table testing of conical tank models, Proceeding of the 3rd Structural Specialty Conference, CSCE, pp. 177-184, London, Ontario, Canada, 2000.

A.A. El Damatty, M.S. Saafan, and A.M.I. Sweedan, Dynamic Characteristics of Combined Conical-Cylindrical Shells, Journal of Thin Walled Structures, Vol. 43: 1380-1397, 2005.
http://dx.doi.org/10.1016/j.tws.2005.04.002

A.A. El Damatty, M.S. Saafan, A.M.I. Sweedan, Experimental Study Conducted on a Liquid-Filled Combined Conical Tank Model, Journal of Thin Walled Structures, Vol. 43: 1398-1417, 2005.
http://dx.doi.org/10.1016/j.tws.2005.04.003

A.A. El Damatty, R.M. Korol, F.A. Mirza, Stability of Elevated Liquid-Filled Conical Tanks under Seismic Loading, Part I-Theory, Earthquake Engineering and Structural Dynamics, Vol. 26: 1191-1208, 1997.
http://dx.doi.org/10.1002/(sici)1096-9845(199712)26:12%3C1191::aid-eqe700%3E3.0.co;2-g

B.L. Koziey, and F.A. Mirza, Consistent Thick Shell Element, Computers and Structures, Vol. 65 (Issue 4): 531-549, 1997.
http://dx.doi.org/10.1016/s0045-7949(96)00414-2

A.K. Chopra, Dynamics of Structures: Theory and Applications to Earthquake Engineering, 2nd Ed. (Prentice-Hall, 2001).


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