Coupled systems mechanics

  • 제3권4호
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  • Pages.385-403
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  • 2014
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  • 2234-2184(pISSN)
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  • 2234-2192(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

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

  • 투고 : 2013.09.18
  • 심사 : 2013.11.12
  • 발행 : 2014.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  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. https://doi.org/10.1016/j.enganabound.2005.10.002
  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. https://doi.org/10.1016/S0022-460X(03)00568-6
  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. https://doi.org/10.1016/S0022-460X(02)01257-9
  5. Failla, G. and Santini, A. (2008), "A solution method for Euler-Bernoulli vibrating discontinuous beams", Mech. Res. Commun., 35(8), 517-529. https://doi.org/10.1016/j.mechrescom.2008.04.002
  6. Ghaemian, M. and Ghobarah, A. (1999). "Nonlinear seismic response of concrete gravity dams with dam-reservoir interaction", Eng. Struct., 21(4), 306-315. https://doi.org/10.1016/S0141-0296(97)00208-3
  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. https://doi.org/10.12989/csm.2013.2.1.085
  8. Jeong, K.H. (2003), "Free vibration of two identical circular plates coupled with bounded fluid", J. Sound Vib., 260(4), 653-670. https://doi.org/10.1016/S0022-460X(02)01012-X
  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. https://doi.org/10.12989/cac.2004.1.3.285
  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. https://doi.org/10.12989/eas.2012.3.3_4.533
  11. Maity, D. and Bhattacharyya, S.K. (2003), "A parametric study on fluid-structure interaction problems", J. Sound Vib., 263(4), 917-935. https://doi.org/10.1016/S0022-460X(02)01079-9
  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. https://doi.org/10.1016/S0141-0296(02)00194-3
  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. https://doi.org/10.1016/j.jsv.2003.08.030
  14. Pekau, O.A. and Yuzhu, C. (2004), "Failure analysis of fractured dams during earthquakes by DEM", Eng. Struct, 26(10), 1483-1502. https://doi.org/10.1016/j.engstruct.2004.05.019
  15. 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. https://doi.org/10.1016/j.jsv.2006.06.063
  16. 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. https://doi.org/10.1016/j.jsv.2007.07.009
  17. 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. https://doi.org/10.1016/j.cma.2009.08.010

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