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http://dx.doi.org/10.12989/csm.2014.3.4.385

Forced vibration analysis of a dam-reservoir interaction problem in frequency domain  

Keivani, Amirhossein (Civil Engineering Faculty, Ferdowsi University of Mashhad)
Shooshtari, Ahmad (Civil Engineering Faculty, Ferdowsi University of Mashhad)
Sani, Ahmad Aftabi (Civil Engineering Department, Mashhad Branch, Islamic Azad University)
Publication Information
Coupled systems mechanics / v.3, no.4, 2014 , pp. 385-403 More about this Journal
Abstract
In this paper, the forced vibration problem of an Euler-Bernoulli beam that is joined with a semi-infinite field of a compressible fluid is considered as a boundary value problem (BVP). This BVP includes two partial differential equations (PDE) and some boundary conditions (BC), which are introduced comprehensively. After that, the closed-form solution of this fluid-structure interaction problem is obtained in the frequency domain. Some mathematical techniques are utilized, and two unknown functions of the BVP, including the beam displacement at each section and the fluid dynamic pressure at all points, are attained. These functions are expressed as an infinite series and evaluated quantitatively for a real example in the results section. In addition, finite element analysis is carried out for comparison.
Keywords
fluid-structure interaction; closed-form solution; dynamic analysis; frequency domain; finite element method; compressible fluid;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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1 Aznarez, J.J., Maeso, O. and Dominguez, J. (2006), "BE analysis of bottom sediments in dynamic fluid-structure interaction problems", Eng. Anal. Boundary Elements, 30(2), 124-136.   DOI   ScienceOn
2 Baudille, R. and Biancolini, M.E. (2008), "A general approach for studying the motion of a cantilever beam interacting with a 2D fluid flow", Interact. Multiscale Mech., 1(4), 275-293.
3 Biswal, K.C., Bhattacharyya, S.K. and Sinha, P.K. (2004), "Dynamic response analysis of a liquid-filled cylindrical tank with annular baffle", J. Sound and Vib., 274(1-2), 13-37.   DOI   ScienceOn
4 Bouaanani, N., Paultre, P. and Proulx, J. (2003), "A closed-form formulation for earthquake-induced hydrodynamic pressure on gravity dams", J. Sound Vib., 261(3), 573-582.   DOI   ScienceOn
5 Failla, G. and Santini, A. (2008), "A solution method for Euler-Bernoulli vibrating discontinuous beams", Mech. Res. Commun., 35(8), 517-529.   DOI   ScienceOn
6 Ghaemian, M. and Ghobarah, A. (1999). "Nonlinear seismic response of concrete gravity dams with dam-reservoir interaction", Eng. Struct., 21(4), 306-315.   DOI   ScienceOn
7 Hariri-Ardebili, M.A., Mirzabozorg, H. and Ghasemi, A. (2013), "Strain-based seismic failure evaluation of coupled dam-reservoir-foundation system", Coupled Syst. Mech., 2(1), 85-110.   DOI   ScienceOn
8 Jeong, K.H. (2003), "Free vibration of two identical circular plates coupled with bounded fluid", J. Sound Vib., 260(4), 653-670.   DOI   ScienceOn
9 Lotfi, V. (2004), "Direct frequency domain analysis of concrete arch dams based on FE-(FE-HE)-BE technique", Comput. Concrete, 1(3), 285-302.   DOI   ScienceOn
10 Lotfi, V. and Samii, A. (2012), "Dynamic analysis of concrete gravity dam-reservoir systems by wavenumber approach in the frequency domain", Earthq. Struct., 3(3), 533-548.   DOI   ScienceOn
11 Maity, D. and Bhattacharyya, S.K. (2003), "A parametric study on fluid-structure interaction problems", J. Sound Vib., 263(4), 917-935.   DOI   ScienceOn
12 Neild, S.A., McFadden, P.D. and Williams, M.S. (2003), "A review of time-frequency methods for structural vibration analysis", Eng. Struct., 25(6), 713-728.   DOI   ScienceOn
13 Panza, M.J. (2004), "Closed form solution for acoustic wave equation between two parallel plates using Euler-Maclaurin sum formula", J. Sound Vib., 277(1-2), 123-132.   DOI   ScienceOn
14 Pekau, O.A. and Yuzhu, C. (2004), "Failure analysis of fractured dams during earthquakes by DEM", Eng. Struct, 26(10), 1483-1502.   DOI   ScienceOn
15 Zilian, A., Dinkler, D. and Vehre, A. (2009), "Projection-based reduction of fluid-structure interaction systems using monolithic space-time modes", Comput. Meth. Appl. Mech. Eng., 198(47-48), 3795-3805.   DOI   ScienceOn
16 Tong, Z., Zhang, Y., Zhang, Z. and Hua, H. (2007), "Dynamic behavior and sound transmission analysis of a fluid-structure coupled system using the direct-BEM/FEM", J. Sound Vib., 299(3), 645-655.   DOI   ScienceOn
17 Xing, J.T. (2007), "Natural vibration of two-dimensional slender structure-water interaction systems subject to Sommerfeld radiation condition", J. Sound and Vib., 308(1-2), 67-79.   DOI   ScienceOn