Structural Engineering and Mechanics

  • 제67권2호
  • /
  • Pages.185-206
  • /
  • 2018
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Three-dimensional dynamics of the moving load acting on the interior of the hollow cylinder surrounded by the elastic medium

  • Akbarov, S.D. (Department of Mechanical Engineering, Faculty of Mechanical Engineering, Yildiz Technical University, Yildiz Campus) ;
  • Mehdiyev, M.A. (Department of Mathematics, Azerbaijan State University of Economics (UNEC)) ;
  • Ozisik, M. (Department of Mathematical Engineering, Faculty of Chemistry and Metallurgy, Yildiz Technical University, Davutpasa Campus)
  • 투고 : 2018.04.20
  • 심사 : 2018.05.08
  • 발행 : 2018.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper studies the non-axisymmetric 3D problem on the dynamics of the moving load acting in the interior of the hollow cylinder surrounded with elastic medium and this study is made by utilizing the exact equations of elastodynamics. It is assumed that in the interior of the cylinder the point located with respect to the cylinder axis moving forces act and the distribution of these forces is non-axisymmetric and is located within a certain central angle. The solution to the problem is based on employing the moving coordinate method, on the Fourier transform with respect to the spatial coordinate indicated by the distance of the point on the cylinder axis from the point at which the moving load acts, and on the Fourier series presentation of the Fourier transforms of the sought values. Numerical results on the critical moving velocity and on the distribution of the interface normal and shear stresses are presented and discussed. In particular, it is established that the non-axisymmetricity of the moving load can decrease significantly the values of the critical velocity.

키워드

참고문헌

  1. Abdulkadirov, S.A. (1981), "Low-frequency resonance waves in a cylindrical layer surrounded by an elastic medium", J. Min. Sci., 16(3), 229-234.
  2. Achenbach, J.D., Keshava, S.P. and Hermann, G. (1967), "Moving load on a plate resting on an elastic half-space", 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 hydro-elastic system consisting of the elastic plate, compressible viscous fluid and rigid wall", Struct. Eng. Mech., 59(3), 403-430. https://doi.org/10.12989/sem.2016.59.3.403
  4. 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.
  5. Akbarov, S.D. (2015), Dynamics of Pre-Strained Bi-Material Elastic Systems: Linearized Three-Dimensional Approach, Springer, Heidelberg, New York, U.S.A.
  6. Akbarov, S.D., Guler, C. and Dincsoy, E. (2007), "The critical speed of a moving load on a pre-stressed load plate resting on a pre-stressed half-plan", Mech. Compos. Mater., 43(2), 173-182. https://doi.org/10.1007/s11029-007-0017-z
  7. 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
  8. 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
  9. Akbarov, S.D., Ilhan, N. and Temugan, A. (2015), "3D Dynamics of a system comprising a pre-stressed covering layer and a prestressed 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
  10. 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.
  11. 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.
  12. 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. https://doi.org/10.1177/1077546315601299
  13. Akbarov, S.D. and Mehdiyev, M.A. (2017), "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
  14. Akbarov, S.D. and Mehdiyev, M.A. (2018a), "Influence of initial stresses on the critical velocity of the moving load acting in the interior of the hollow cylinder surrounded by an infinite elastic medium", Struct. Eng. Mech., 66(1), 45-59. https://doi.org/10.12989/SEM.2018.66.1.045
  15. Akbarov, S.D. and Mehdiyev, M.A. (2018b), "The interface Stress field in the elastic system consisting of the hollow cylinder and surrounding elastic medium under 3D non-axisymmetric forced vibration", CMC: Comput. Mater. Contin., 54(1), 61-68.
  16. Akbarov, S.D. and Panakhli, P.G. (2015), "On the discreteanalytical 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.
  17. Akbarov, S.D. and Panakhli, P.G. (2017), "On the particularities of the forced vibration of the hydroelastic 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
  18. 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
  19. Atluri, S.N. and Shen, S.P. (2002), The Meshless Local Petrov-Galerkin (MLPG) Method, Tech. Science Press.
  20. Babich, S.Y., Glukhov, Y.P. and Guz, A.N. (1986), "Dynamics of a layered compressible pre-stressed half-space under the influence of moving load", Int. Appl. Mech., 22(9), 808-815.
  21. 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 halfspace with initial stress", Int. Appl. Mech., 24(8), 775-780.
  22. 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
  23. Babich, S.Y., Glukhov, Y.P. and Guz, A.N. (2008b), "A dynamic for a pre-stressed compressible layered half-space under moving load", Int. Appl. Mech., 44(4), 388-405. https://doi.org/10.1007/s10778-008-0051-0
  24. 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
  25. 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(3), 596-600. https://doi.org/10.1115/1.2788934
  26. 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. Compos. Mater., 45(5), 527-536. https://doi.org/10.1007/s11029-009-9110-9
  27. 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(4-5), 678-705. https://doi.org/10.1016/j.jsv.2005.12.032
  28. Guz, A.N. (1999), Fundamentals of The Three-Dimensional Theory of Stability of Deformable Bodies, Springer, Berlin, Germany.
  29. 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(2), 398-411. https://doi.org/10.1016/j.ijsolstr.2008.08.040
  30. 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
  31. 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(25), 6996-7018. https://doi.org/10.1016/j.jsv.2014.07.020
  32. Jensen, F.B., Kuperman, W.A., Porter, M.B. and Schmidt, H. (2011), Computational Ocean Acoustic, 2nd Edition, Springer, Berlin, Germany.
  33. Kiani, K., Avili, H.G. and Kojorian, A.N. (2015), "On the role of shear deformation in dynamic behavior of a fully saturated poroelastic beam traversed by a moving load", Int. J. Mech. Sci., 94, 84-85.
  34. Metrikine, A.V. and Vrouwenvelder, A.C.W.M. (2000), "Surface ground vibration due to a moving load in a tunnel: Twodimensional model", J. Sound Vibr., 234(1), 43-66. https://doi.org/10.1006/jsvi.1999.2853
  35. Ozisik, M., Mehdiyev, M.A. and Akbarov, S.D. (2018), "The influence of the imperfectness of contact conditions on the critical velocity of the moving load acting in the interior of the cylinder surrounded with elastic medium", CMC: Comput. Mater. Contin., 54(2), 103-136.
  36. 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
  37. Parnes, R. (1980), "Progressing torsional loads along a bore in an elastic medium", Int. J. Sol. Struct., 36(1), 653-670.
  38. 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
  39. Quyang, H. (2011), "Moving load dynamic problems: A tutorial (with a brief overview)", Mech. Syst. Sign. Pr., 25(6), 2039-2060. https://doi.org/10.1016/j.ymssp.2010.12.010
  40. Sarvestan, V., Mirdamadi, H.D. and Ghayour, M. (2017), "Vibration analysis of cracked Timoshenko beam under moving load with constant velocity and acceleration by spectral finite element method", Int. J. Mech. Sci., 122, 318-330. https://doi.org/10.1016/j.ijmecsci.2017.01.035
  41. 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(3-5), 575-586. https://doi.org/10.1016/j.jsv.2005.08.040
  42. 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. Sol. Str., 88, 35-55.
  43. Song, Q., Shi, J., Lui, Z. and Wan, Y. (2016), "Dynamic analysis of rectangular thin plates of arbitrary boundary conditions under moving loads", Int. J. Mech. Sci., 117, 16-29. https://doi.org/10.1016/j.ijmecsci.2016.08.005
  44. Sudheesh Kumar, C.P., Sujatha, C. and Shankar, K. (2015), "Vibration of simply supported beams under a single moving load: A detailed study of cancellation phenomenon", Int. J. Mech. Sci., 99, 40-47. https://doi.org/10.1016/j.ijmecsci.2015.05.001
  45. Useche, J. and Alvarez, H. (2016), "Elastodynamic analysis of thick multilayer composite plates by the boundary element method", CMES: Comput. Model. Eng. Sci., 107(4), 287-316.
  46. 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
  47. Zhenning, B.A., Liang, J., Lee, V.W. and Ji, H. (2016), "3D dynamic response of a multi-layered transversely isotropic halfspace subjected to a moving point load along a horizontal straight line with constant speed", Int. J. Sol. Str., 100, 427-445.
  48. Zhou, J.X., Deng, Z.C. and 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

피인용 문헌

  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