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Axially symmetric periodical wave processes in a rotating elastic hollow circular cylinder surrounded by an acoustic medium

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper the spectral characteristics of a strain-stress state of an infinitely long elastic hollow circular cylinder with arbitrary thickness rotating about its axis of symmetry with time-dependent angular velocity is investigated. It is assumed that a cylinder is empty inside and surrounded by ideal (non-viscous) compressible fluid or gas. The exact solution of this problem is obtained using the Fourier transform with respect to time. Calculations are carried out for a case of the Armco iron tube immersed in water. The detailed analysis of temporal and spatial spectral characteristics of the elastic displacements and stresses, the material density and the power flow density averaged in the period of vibrations in elastic cylinder, are presented.
Rocznik
Strony
303--322
Opis fizyczny
Bibliogr. 30 poz., rys.
Twórcy
  • Technical University of Łódź, Faculty of Process and Environmental Engineering, Wólczańska 213, 90-924 Łódź, Poland, piddub@wp.pl
Bibliografia
  • [1] PIDDUBNIAK O.P., Sound radiation by elastic circular cylinder rotating around its axis with variable angular velocity [in Ukrainian], Math. Methods and Physicomech. Fields, 46, 3, 106–115 (2003).
  • [2] PIDDUBNIAK O.P., PIDDUBNIAK N.G., Spectral characteristics of wave process in circular cylinder rotating in acoustical medium with a non-constant angular velocity, DIPED-2005: Proc. Xth Int. Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Lviv, Sept. 12–15, 2005, 223–229, Lviv 2005.
  • [3] SINGH A., PURI P., Stresses in cylindrical tube rotating with variable angular velocity [in Polish], Rozpr. In˙z., 11, 3, 449–463 (1963).
  • [4] KOLTUNOV M.A., VASIL’EV JU.N., TCHERNYKH V.A., Elasticity and strength of cylindrical bodies [in Russian], Vysshaya Shkola, Moscow 1975.
  • [5] LOVE A., Mathematical theory of elasticity [in Russian], ONTI, Moscow, Leningrad 1935.
  • [6] CENSOR D., SCHOENBERG M., Two-dimensional wave problems in rotating elastic media, Appl. Sci. Res., 27, 1, 401–414 (1973).
  • [7] SURESH A., The elastic rotating cylinder, Int. J. Eng. Sci., 18, 6, 885–888 (1980).
  • [8] HAUGHTON D.M., Wave speeds in rotating elastic cylinders at finite deformation, Quart. J. Mech. and Appl. Math., 35, 1, 125–139 (1982).
  • [9] HUA LI, LAM K.Y., Frequency characteristics of a thin rotating cylindrical shell using the generalized differential quadrature method, Int. J. Mech. Sci., 40, 5, 443–459 (1998).
  • [10] BAHDER T.B., Stress in rotating disks and cylinders. Final rept. 1998–2000. U. S. Army Research Lab. Powder Mill Road Adelphi, Maryland, Oct., 2002, http://arxiv.org/abs/physics/0211004.
  • [11] PIDDUBNIAK O.P., PIDDUBNIAK N.G., Sound radiation by a rotating porous cylinder, DIPED-2005: Proc. Xth Int. Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Lviv, Sept. 12–15, 2005, 230–236, Lviv 2005.
  • [12] PIDDUBNIAK O.P., PIDDUBNIAK N.G., Sound radiation by a hollow circular elastic cylinder rotating in water with a variable angular velocity, Archiv. Acoust., 28, 4, 339–354 (2003).
  • [13] PIDDUBNIAK O.P., PIDDUBNIAK N.G., Analysis of strain-stress state of circular cylinder rotating in acoustic medium with a non-constant angular velocity [in Ukrainian], Math. Methods and Physicomech. Fields, 49, 1, 198-207 (2006).
  • [14] PIDDUBNIAK O.P., PIDDUBNIAK N.G., Pulse radiation by acoustic rototron, DIPED-2006: Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory: Proc. XIth Int. Seminar/Workshop, Tbilisi, Oct. 11–13, 2006, 133–138, Lviv, Tbilisi 2006.
  • [15] PIDDUBNIAK O.P., PIDDUBNIAK N.G., Transition and resonance processes in the material of an acoustic rototron, DIPED-2006: Direct and Inverse Problems of Electromagnetic and AcousticWave Theory: Proc. XIth Int. Seminar/Workshop Tbilisi, Oct. 11–13, 2006, 127–132, Lviv, Tbilisi 2006.
  • [16] LUR’E A.I., Theory of elasticity [in Russian], Nauka, Moscow 1970.
  • [17] FELSEN L., MARKUVITZ N., Radiation and scattering of waves, Prentice-Hall, Inc., Englewood Cliffs, New Jersey 1973.
  • [18] BRYTCHKOV JU.A., PRUDNIKOV A.P., Integral transforms of generalized functions [in Russian], Nauka, Moscow 1977.
  • [19] PIDDUBNIAK O.P., PIDDUBNIAK N.G., Transition processes in an elastic circular cylinder rotating about its axis in acoustic medium [in Ukrainian], Math. Methods and Physicomech. Fields, 50, 2, 120–128 (2007).
  • [20] TIMOSHENKO S.P., Strength and vibrations in structural elements [in Russian], Nauka, Moscow 1975.
  • [21] HEARN E.J., Mechanics of materials, Vol. 2: The mechanics of elastic and plastic deformation of solids and structural materials, Pergamon Press, Elsevier, Oxford 1995, http://www.knovel.com/knovel2/Toc.jsp?BookID=434&VerticalID=0.
  • [22] ZAREMBO L.K., KRASILNIKOV V.A., Introduction to nonlinear acoustics: sound and ultrasound waves of high intensity [in Russian], Nauka, Moscow 1966.
  • [23] ACHENBACH J.D., Wave propagation in elastic solids, North–Holland Publ. Co., Amer. Elsevier Publ. Co., Inc., Amsterdam, London, New York 1973.
  • [24] LODZINSKI E., About Armco iron [in Polish], Przegl. Techn., 75, 25, 884–890 (1937).
  • [25] MES’KIN V.S., Foundations of steel alloying [in Russian], Metallurgia, Moscow 1964.
  • [26] ANSON L.W., CHIRERS R.G., Frequency dependence of the acoustic radiation force function (Yp) for spherical targets for a wide range of materials, J. Acoust. Soc. Amer., 69, 6, 1618–1623 (1981).
  • [27] ARTOBOLEVSKI I.I. (main Ed.), Polytechnical Dictionary [in Russian], Sov. Encyclopedia, Moscow 1976.
  • [28] GAUNAURD G.C., STIFORS H.C., Transient resonance scattering and target identification, Appl. Mech. Rev., 50, 3, 131–148 (1997).
  • [29] PIDSTRYHACH JA.S., PIDDUBNIAK O.P., Asymptotical analysis of back reflection of a finite sound beam from an elastic circular cylinder [in Ukrainian and Russian], Proc. Acad. Sci. Ukr. SSR. Ser. A, 10, 47–51 (1990).
  • [30] AGRANOVICH M.S., KATSELENENBAUM B.Z., SIVOV A.N., VOITOVICH N.N., Generalized method of eigenoscillations in diffraction theory, Wiley-VCH, Berlin 1999.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BATA-0002-0026
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