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Propagation of Harmonic Waves in an Orthotropic Cylindrical Shell on Elastic Foundation

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Abstract

An equation is derived, using Timoshenko shell theory, to analyze axisymmetric strain fields in an orthotropic cylindrical shell on an elastic foundation. Also a dispersion equation is derived to study the natural harmonic waves in a shell depending on the properties of the elastic foundation. The wave velocities computed by the numerical method proposed are in agreement with the analytical solutions, which confirms the reliability of the results

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REFERENCES

  1. A. S. Vol'mir, Nonlinear Dynamics of Plates and Shells [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  2. K. V. Iogansen, Driller's Companion [in Russian], Nedra, Moscow (1990).

    Google Scholar 

  3. P. Z. Lugovoi, V. P. Mukoid, and V. F. Meish, Dynamics of Shell Structures under Blast Loads [in Russian], Naukova Dumka, Kiev (1991).

    Google Scholar 

  4. A. K. Pertsev and É. G. Platonov, Dynamics of Shells and Plates [in Russian], Sudostroenie, Leningrad (1987).

    Google Scholar 

  5. D. L. Novitskii, “Longitudinal waves propagating along a cylindrically orthotropic rod,” Konstr. Tekhnol. Mashinostr., No. 3, 33-38 (1967).

  6. I. T. Selezov, Modeling Wave and Diffraction Processes in Continua [in Russian], Naukova Dumka, Kiev (1989).

    Google Scholar 

  7. N. A. Shul'ga, “Axisymmetric elastic waves in an orthotropic hollow cylinder,” Prikl. Mekh., 10, No. 9, 14–18 (1974).

    Google Scholar 

  8. M. O. Shul'ga and V. F. Meish, “Vibrations of isotropic cylindrical shells with linear and angular transverse strains,” Dop. AN Ukrainy, No. 12, 70-73 (1994).

  9. V. I. Gulyaev, V. M. Mel'nik, and E. V. Yakovenko, “Dynamics of a beam on an elastic base under a moving force and moment (Timoshenko model),” Int. Appl. Mech., 36, No. 12, 1650–1656 (2000).

    Google Scholar 

  10. I. P. Jones and P. G. Bhuta, “Response of cylindrical shells to moving loads,” Trans. ASME, E 31, No. 1, 105–111 (1964).

    Google Scholar 

  11. V. I. Gulyaev, P. Z. Lugovoi, and N. A. Lysyuk, “Propagation of harmonic waves in a cylindrical shell (Timoshenko model),” Int. Appl. Mech., 39, No. 4, 472–478 (2003).

    Google Scholar 

  12. P. S. Koval'chuk and C. A. Kruk, “Forced nonlinear vibrations of cylindrical shells filled with a liquid,” Int. Appl. Mech., 38, No. 11, 1388–1393 (2002).

    Google Scholar 

  13. V. D. Kubenko, P. S. Koval'chuk, and L. A. Kruk, “On multimode nonlinear vibrations of filled cylindrical shells,” Int. Appl. Mech., 39, No. 1, 85–92 (2003).

    Google Scholar 

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Lugovoi, P.Z. Propagation of Harmonic Waves in an Orthotropic Cylindrical Shell on Elastic Foundation. International Applied Mechanics 40, 297–303 (2004). https://doi.org/10.1023/B:INAM.0000031912.19385.18

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  • DOI: https://doi.org/10.1023/B:INAM.0000031912.19385.18

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