Browse > Article

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

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)

- Reference
- Cited By KSCI

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 |