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http://dx.doi.org/10.12989/csm.2017.6.3.287
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On the particularities of the forced vibration of the hydro-elastic system consisting of a moving elastic plate, compressible viscous fluid and rigid wall |

Akbarov, Surkay D.
(Yildiz Technical University, Faculty of Mechanical Engineering, Department of Mechanical Engineering, Yildiz Campus)
Panakhli, Panakh G. (Azerbaijan Architecture and Civil Engineering University, Faculty of Mechanical and Information Technologies, Department of Computer Hardware and Software) |

Publication Information

Abstract

This paper studies the particularities of the forced vibration of the hydro-elastic system consisting of a moving elastic plate, compressible viscous fluid and rigid wall. This study is made by employing the discrete-analytical solution method proposed in the paper by the authors (Akbarov and Panakhli (2015)). It is assumed that in the initial state the fluid flow is caused by the axial movement of the plate and the additional lineally-located time-harmonic forces act on the plate and these forces cause additional flow field in the fluid and a stress-strain state in the plate. The stress-strain state in the plate is described by utilizing the exact equations and relations of the linear elastodynamics. However, the additional fluid flow field is described with linearized Navier-Stokes equations for a compressible viscous fluid. Numerical results related to the influence of the problem parameters on the frequency response of the normal stress acting on the plate fluid interface plane and fluid flow velocity on this plane are presented and discussed. In this discussion, attention is focused on the influence of the initial plate axial moving velocity on these responses. At the same, it is established that as a result of the plate moving a resonance type of phenomenon can take place under forced vibration of the system. Moreover, numerical results regarding the influence of the fluid compressibility on these responses are also presented and discussed.

Keywords

compressible viscous fluid; elastic plate; frequency response; critical frequency; moving plate; forced vibration;

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Times Cited By KSCI :
3 (Citation Analysis)

- Reference
- Cited By KSCI

1 | Akbarov, S.D. (2015), Dynamics of Pre-strained Bi-Material Elastic Systems: Linearized Three-Dimensional Approach, Springer. |

2 | Akbarov, S.D. and Ismailov, M.I. (2014), "Forced vibration of a system consisting of a pre-strained highly elastic plate under compressible viscous fluid loading", CMES: Comput. Model. Eng. Sci., 97(4), 359-390. |

3 | Akbarov, S.D. and Ismailov, M.I. (2017), "The forced vibration of the system consisting of an elastic plate, compressible viscous fluid and rigid wall", J. Vibr. Contr., 23(11), 1809-1827. DOI |

4 | Akbarov, S.D. and Ismailov, M.I. (2015), "Dynamics of the moving load acting on the hydro-elastic system consisting of the elastic plate, compressible viscous fluid and rigid wall", CMC: Comput. Mater. Contin., 45(2), 75-105. |

5 | Akbarov, S.D., Guliyev, H.H. and Yahnioglu, N. (2016), "Natural vibration of the three-layered solid sphere with middle layer made of FGM: Three-dimensional approach", Struct. Eng. Mech., 57(3), 239-263. DOI |

6 | Akbarov, S.D. and Panakhli, P.G. (2015), "On the discrete-analytical solution method of the problems related to the dynamics of hydro-elastic systems consisting of a pre-strained moving elastic plate, compressible viscous fluid and rigid wall", CMES: Comput. Model. Eng. Sci., 108(4), 89-112. |

7 | Bagno, A.M. (2015), "The dispersion spectrum of wave process in a system consisting of an ideal fluid layer and a compressible elastic layer", Appl. Mech., 51(6), 52-60. |

8 | Bagno, A.M., Guz, A.N. and Shchuruk, G.L. (1994), "Influence of fluid viscosity on waves in an initially deformed compressible elastic layer interacting with a fluid medium", Appl. Mech., 30(9), 643-649. |

9 | Bagno, A.M. and Guz, A.N. (1997), "Elastic waves in prestressed bodies interacting with fluid (survey)", Appl. Mech., 33(6), 435-465. |

10 | Banichuk, N., Jeronen, J., Neittaanmaki, P. and Tuovinen, T., (2010), "On the instability of an axially moving elastic plate", J. Sol. Struct., 47(1), 91-99. DOI |

11 | Charman, C.J. and Sorokin, S.V. (2005), "The forced vibration of an elastic plate under significant fluid loading", J. Sound Vibr., 281, 719-741. DOI |

12 | Fu, S., Cui, W., Chen, X. and Wang, C. (2005), "Hydroelastic analysis of a nonlinearity connected floating bridge subjected to moving loads", Mar. Struct., 18, 85-107. DOI |

13 | Fu, Y. and Price W. (1987), "Interactions between a partially or totally immersed vibrating cantilever plate and surrounding fluid", J. Sound Vibr., 118(3), 495-513. DOI |

14 | Guz, A.N. (2009), Dynamics of Compressible Viscous Fluid, Cambridge Scientific Publishers. |

15 | Guz, A.N. and Makhort, F.G. (2000), "The physical fundamentals of the ultrasonic nondestructive stress analysis of solids", Appl. Mech., 36, 1119-1148. |

16 | Guz, A.N. (2004), Elastic Waves in Bodies with Initial (Residual) Stresses, Kiev, A.C.K. |

17 | Ilhan, N. and Koc, N. (2015), "Influence of polled direction on the stress distribution in piezoelectric materials", Struct. Eng. Mech., 54, 955-971. DOI |

18 | Lamb, H. (1921), "Axisymmetric vibration of circular plates in contact with water", Proc. R Soc., A98, 205-216. |

19 | Lin, W. and Qiao, N. (2008), "Vibration and stability of an axially moving beam immersed in fluid", J. Sol. Struct., 45(5), 1445-1457. DOI |

20 | Gao, L.G., Zhang, P., Liu, J. and Wang, W. (2016), "Elastic solutions due to a time-harmonic point load in isotropic multi-layered media", Struct. Eng. Mech., 57(3), 327-355. DOI |

21 | Sorokin, S.V. and Chubinskij, A.V. (2008), "On the role of fluid viscosity in wave propagation in elastic under heavy fluid loading", J. Sound Vibr., 311, 1020-1038. DOI |

22 | Tubaldi, E. and Armabili, M. (2013), "Vibrations and stability of a periodically supported rectangular plate immersed in axial flow", J. Flu. Struct., 39, 391-407. DOI |

23 | Wang, C., Fu, S. and Cui, W. (2009), "Hydroelasticity based fatigue assessment of the connector for a ribbon bridge subjected to a moving load", Mar. Struct., 22, 246-260. DOI |

24 | Wu, J.S. and Shih, P.Y. (1998), "Moving-load-induced vibrations of a moored floating bridge", Comput. Struct., 66(4), 435-461. DOI |

25 | Yang, X.D., Chen, L.Q. and Zu, J.W. (2010), "Vibration and stability of an axially moving rectangular composite plate", J. Appl. Mech., 78(1), 011018. |

26 | Kwak, H. and Kim, K. (1991), "Axisymmetric vibration of circular plates in contact with water", J. Sound Vibr., 146, 381-216. DOI |

27 | Yao, G., Zhang. Y.M., Li, C.Y. and Yang, Z. (2016), "Stability analysis and vibration characteristics of an axially moving plate inaerothermal enviroment", Acta Mech., 227, 3517. DOI |

28 | Yao, G., Zhang, Y.M., Li, C.Y. and Yang, Z. (2016), "Stability analysis and vibration characteristics of an axially moving plate inaerothermal enviroment", Acta Mech., 227, 3517. DOI |

29 | Zhao, J. and Yu, S. (2012), "Effect of residual stress on the hydro-elastic vibration on circular diaphragm", World J. Mech., 2, 361-368. DOI |