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Radiation of nonstationary waves by a thin-walled piezoceramic cylinder containing a viscous compressible fluid

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Abstract

The transient operation conditions of a thin-walled piezoradiator containing a viscous compressible fluid and immersed into an acoustic medium are considered. The problem is solved using the integral Laplace time transformation. Originals of the general solution of the linearized Navier-Stokes equations are constructed for the interior of the domain. These originals are used to find the unknowns from a system of integral Volterra equations. Numerical examples are presented.

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References

  1. A. É. Babaev,Transient Waves in Continuous Media with a System of Reflectors [in Russian], Naukova Dumka, Kiev (1990).

    Google Scholar 

  2. A. É. Babaev and I. V. Savina, “Diffraction of acoustic waves on a parallel cylindrical piezoceramic systems of coaxial shells filled with a viscous fluid,”Prikl. Mekh.,29, No. 6, 45–52 (1993).

    Google Scholar 

  3. A. S. Basmat, A. N. Guz', and A. P. Zhuk, “Unsteady motion of a rigid cylinder in a compressible viscous fluid,”Prikl. Mekh.,21, No. 10, 109–114 (1984).

    Google Scholar 

  4. A. S. Basmat and A. P. Zhuk, “Unsteady motion of solids in a viscous compressible medium,”Prikl. Mekh.,20, No. 3, 114–116 (1984).

    Google Scholar 

  5. V. A. Galazyuk and A. N. Gorechko, “Examination of transient wave processes in a viscous compressible fluid by the method of Chebyshev-Laguerre polynomials,”Dokl. AN USSR, Ser. A, No. 5, 31–35 (1981).

    Google Scholar 

  6. V. T. Grinchenko, A. F. Ulitko, and N. A. Shul'ga,Electroelasticity, Vol. 5 of five-volumeMechanics of Coupled Fields in Structural Elements [in Russian], Naukova Dumka, Kiev (1989).

    Google Scholar 

  7. A. N. Guz', “Representation of solutions of the linearized Navier-Stokes equations,”Dokl. AN SSSR,253, No. 4, 825–827 (1980).

    ADS  Google Scholar 

  8. A. N. Guz', “Problems of aerohydroelasticity for bodies with initial stresses,”Prikl. Mekh.,16, No. 3, 3–21 (1980).

    Google Scholar 

  9. A. N. Guz', “Propagation of waves in a cylindrical shell with a viscous compressible fluid,”Prikl. Mekh.,16, No. 10, 10–20 (1980).

    Google Scholar 

  10. V. A. Ditkin and A. P. Prudnikov,Operational Calculus: A Handbook [in Russian], Vysshaya Shkola, Moscow (1965).

    Google Scholar 

  11. V. D. Kubenko, Yu. N. Ryabukha, and I. V. Savina, “Diffraction of acoustic waves in coaxial piezoceramic shells filled with a viscous fluid,”Prikl. Mekh.,24, No. 10, 28–34 (1988).

    Google Scholar 

  12. S. I. Pugachev (ed.),Piezoceramic Transducers [in Russian], Sudostroyeniye, Leningrad (1984).

    Google Scholar 

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Authors
  1. A. É. Babaev
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  2. L. I. Dokuchaeva
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Additional information

S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 35, No. 12, pp. 63–71, December, 1999.

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Babaev, A.É., Dokuchaeva, L.I. Radiation of nonstationary waves by a thin-walled piezoceramic cylinder containing a viscous compressible fluid. Int Appl Mech 35, 1254–1262 (1999). https://doi.org/10.1007/BF02682399

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  • DOI: https://doi.org/10.1007/BF02682399

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