Coupled systems mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Dynamics of the system consisting of the hollow cylinder and surrounding infinite elastic medium under action an oscillating moving ring load on the interior of the cylinder

  • Akbarov, Surkay D. (Yildiz Technical University, Faculty of Mechanical Engineering, Department of Mechanical Engineering, Yildiz Campus) ;
  • Mehdiyev, Mahir A. (Institute of Mathematics and Mechanics of National Academy of Science of Azerbaijan)
  • Received : 2018.01.08
  • Accepted : 2018.05.04
  • Published : 2018.10.25
⟨ Previous Next ⟩

Abstract

The paper deals with the study of the dynamics of the oscillating moving ring load acting in the interior of the hollow circular cylinder surrounded by an elastic medium. The axisymmetric loading case is considered and the study is made by employing the exact equations and relations of linear elastodynamics. The focus is on the influence of the oscillation of the moving load and the problem parameters such as the cylinder's thickness/radius ratio on the critical velocities. At the same time, the dependence between the interface stresses and load moving velocity under various frequencies of this load, as well as the frequency response of the mentioned stresses under various load velocity are investigated. In particular, it is established that oscillation of the moving load can cause the values of the critical velocity to decrease significantly and at the same time the oscillation of the moving load can lead to parametric resonance. It is also established that the critical velocity decreases with decreasing of the cylinder's thickness/radiusratio.

Keywords

References

  1. Abdulkadirov, S.A. (1981), "Low-frequency resonance waves in a cylindrical layer surrounded by an elastic medium", J. Min. Sci., 80, 229-234.
  2. Achenbach, J.D., Keshava, S.P. and Hermann, G. (1967), "Moving load on a plate resting on an elastic halfspace", Trans ASME Ser. E. J. Appl. Mech., 34(4), 183-189.
  3. Akbarov, S.D. and Ismailov, M.I. (2016a), "Dynamics of the oscillating moving load acting on the hydroelastic system consisting of the elastic plate, compressible viscous fluid and rigid wall", Str. Eng. Mech. 59(3) 403-430. https://doi.org/10.12989/sem.2016.59.3.403
  4. Akbarov, S.D. and Mehdiyev, M.A. (2017b), "Forced vibration of the elastic system consisting of the hollow cylinder and surrounding elastic medium under perfect and imperfect contact", Struct. Eng. Mech., 62(1), 113-123. https://doi.org/10.12989/sem.2017.62.1.113
  5. Akbarov, S.D. (2015), Dynamics of Pre-strained Bi-material Elastic Systems: Linearized Three-Dimensional Approach. Springer, New York, U.S.A.
  6. Akbarov, S.D. and Ilhan, N. (2008), "Dynamics of a system comprising a pre-stressed orthotropic layer and pre-stressed orthotropic half-plane under the action of a moving load", Int. J. Sol. Str., 45(14-15), 4222-4235. https://doi.org/10.1016/j.ijsolstr.2008.03.004
  7. Akbarov, S.D. and Ilhan, N. (2009), "Dynamics of a system comprising an orthotropic layer and orthotropic half-plane under the action of an oscillating moving load", Int. J. Sol. Str, 46(21), 3873-3881. https://doi.org/10.1016/j.ijsolstr.2009.07.012
  8. 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.
  9. Akbarov, S.D. and Ismailov, M.I. (2016b), "Frequency response of a pre-stressed metal elastic plate under compressible viscous fluid loading", Appl. Comput. Math., 15(2), 172-188.
  10. Akbarov, S.D. and Mehdiyev, M., (2017a), "In the influence of the initial stresses on the critical velocity of the moving ring load acting in the interior of the hollow cylinder surrounded by an infinite elastic medium", Proceedings of the World Congress on Advances in Structural Engineering and Mechanics, Volume of Abstracts, August-September, Ilsan (Seoul), Korea.
  11. 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.
  12. Akbarov, S.D. and Panakhli, P.G. (2017), "On the particularities of the forced vibration of the hydro-elastic system consisting of a moving elastic plate, compressible viscous fluid and rigid wall", Coupled Syst. Mech., 6(3), 287-316. https://doi.org/10.12989/CSM.2017.6.3.287
  13. Akbarov, S.D. and Salmanova, K.A. (2009), "On the dynamics of a finite pre-strained bi-layered slab resting on a rigid foundation under the action of an oscillating moving load", J. Sound Vibr., 327(3-5), 454-472. https://doi.org/10.1016/j.jsv.2009.07.006
  14. Akbarov, S.D., Guler, C. and Dincoy, E. (2007), "The critical speed of a moving load on a pre-stressed load plate resting on a pre-stressed half-plan", Mech. Comp. Mater., 43(2), 173-182. https://doi.org/10.1007/s11029-007-0017-z
  15. Akbarov, S.D., Ilhan, N. and Temugan, A. (2015), "3D Dynamics of a system comprising a pre- stressed covering layer and a pre-stressed half-space under the action of an oscillating moving point-located load", Appl. Math Model., 39, 1-18. https://doi.org/10.1016/j.apm.2014.03.009
  16. Akbarov, S.D., Ismailov, M.I. and Aliyev, S.A. (2017), "The influence of the initial strains of the highly elastic plate on the forced vibration of the hydro-elastic system consisting of this plate, compressible viscous fluid, and rigid wall", Coupled Syst. Mech., 6(4), 439-464 https://doi.org/10.12989/CSM.2017.6.4.439
  17. Babich, S.Y., Glukhov, Y.P. and Guz, A.N. (1988), "To the solution of the problem of the action of a live load on a two-layer half-space with initial stress", Int. Appl. Mech., 24(8), 775-780.
  18. Babich, S.Y., Glukhov, Y.P. and Guz, A.N. (2008a), "Dynamics of a pre-stressed incompressible layered half-space under load", Int. Appl. Mech., 44(3), 268-285. https://doi.org/10.1007/s10778-008-0043-0
  19. Babich, S.Y., Glukhov, Y.P. and Guz, A.N. (2008b), "A dynamic for a pre-stressed compressible layered halfspace under moving load", Int. Appl. Mech., 44(4), 388-405. https://doi.org/10.1007/s10778-008-0051-0
  20. Babich, S.Y., Glukhov, Y.P. and Guz, A.N. (1986), "Dynamics of a layered compressible pre-stressed halfspace under the influence of moving load", Int. Appl. Mech., 22(6), 808-815.
  21. Chonan, S. (1981), "Dynamic response of a cylindrical shell imperfectly bonded to a surrounding continuum of infinite extent", J. Sound Vibr., 78(2), 257-267. https://doi.org/10.1016/S0022-460X(81)80037-5
  22. Dieterman H.A. and Metrikine, A.V. (1997), "Critical velocities of a harmonic load moving uniformly along an elastic layer", Trans. ASME J. Appl. Mech., 64, 596-600.
  23. Dincsoy, E., Guler, C. and Akbarov, S.D. (2009), "Dynamical response of a prestrained system comprising a substrate and bond and covering layers to moving load", Mech. Comp. Mater., 45(5), 527-536. https://doi.org/10.1007/s11029-009-9110-9
  24. Eringen, A.C. and Suhubi, E.S. (1975), Elastodynamics, Finite Motion, Vol. I; Linear Theory, Vol. II, Academic Press, New York, U.S.A.
  25. Forrest, J.A. and Hunt, H.E.M. (2006), "A three-dimensional tunnel model for calculation of train-induced ground vibration". J. Sound Vibr. 294, 678-705.
  26. Hasheminejad, S.M. and Komeili, M. (2009), "Effect of imperfect bonding on axisymmetric elastodynamic response of a lined circular tunnel in poroelastic soil due to a moving ring load", Int. J. Sol. Str., 46, 398-411. https://doi.org/10.1016/j.ijsolstr.2008.08.040
  27. Hung, H.H., Chen, G.H. and Yang, Y.B. (2013), "Effect of railway roughness on soil vibrations due to moving trains by 2.5D finite/infinite element approach", Eng. Struct., 57, 254-266. https://doi.org/10.1016/j.engstruct.2013.09.031
  28. Hussein M.F.M., Francois, S., Schevenels, M., Hunt, H.E.M., Talbot, J.P. and Degrande, G. (2014), "The fictitious force method for efficient calculation of vibration from a tunnel embedded in a multi-layered half-space", J. Sound Vibr., 333, 6996-7018. https://doi.org/10.1016/j.jsv.2014.07.020
  29. Jensen, F.B., Kuperman, W.A., Porter, M.B. and Schmidt, H. (2011), Computational Ocean Acoustic, 2nd Edition, Springer, Berlin, Germany.
  30. Metrikine, A.V. and Vrouwenvelder A.C.W.M. (2000), "Surface ground vibration due to a moving load in a tunnel: two-dimensional model", J. Sound Vibr., 234(1), 43-66. https://doi.org/10.1006/jsvi.1999.2853
  31. Ouyang, H. (2011), "Moving load dynamic problems: A tutorial (with a brief overview)", Mech. Syst. Sig. Proc., 25, 2039-2060. https://doi.org/10.1016/j.ymssp.2010.12.010
  32. Parnes, R. (1969), "Response of an infinite elastic medium to traveling loads in a cylindrical bore", J. Appl. Mech., Trans., 36(1), 51-58. https://doi.org/10.1115/1.3564585
  33. Parnes, R. (1980), "Progressing torsional loads along a bore in an elastic medium", Int. J. Sol. Struct., 36(1) 653-670.
  34. Pozhuev, V.I. (1980), "Reaction of a cylindrical shell in a transversely isotropic medium when acted upon by a moving load", Sov. Appl. Mech., 16(11) 958-964. https://doi.org/10.1007/BF00884875
  35. Sheng, X., Jones, C.J.C. and Thompson, D.J. (2006), "Prediction of ground vibration from trains using the wavenumber finite and boundary element methods", J. Sound Vibr., 293, 575-586. https://doi.org/10.1016/j.jsv.2005.08.040
  36. Shi, L. and Selvadurai, A.P.S. (2016), "Dynamic response of an infinite beam supported by a saturated poroelastic half space and subjected to a concentrated load moving at a constant velocity", Int. J Solid. Str. 88-89, 35-55.
  37. Tsang, L. (1978), "Time-harmonic solution of the elastic head wave problem incorporating the influence of Rayleigh poles", J. Acoust. Soc. Am., 65(5), 1302-1309.
  38. Yuan, Z., Bostrom, A. and Cai, Y. (2017), "Benchmark solution for vibration from a moving point source in a tunnel embedded in a half-space", J. Sound Vibr., 387, 177-193. https://doi.org/10.1016/j.jsv.2016.10.016
  39. Zhenning, B.A., Liang, J., Lee, V.W. and Ji, H. (2016), "3D dynamic response of a multi-layered transversely isotropic half-space subjected to a moving point load along a horizontal straight line with constant speed", Int. J. Solid Str., 100-101, 427-445.
  40. Zhou, J.X., Deng, Z.C., Hou, X.H. (2008), "Critical velocity of sandwich cylindrical shell under moving internal pressure", Appl. Math. Mech., 29(12), 1569-1578. https://doi.org/10.1007/s10483-008-1205-y

Cited by

  1. Dispersion of axisymmetric longitudinal waves in a "hollow cylinder + surrounding medium" system with inhomogeneous initial stresses vol.72, pp.5, 2018, https://doi.org/10.12989/sem.2019.72.5.597