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Generalized hydrodynamic potential and its analogs in elasticity theory

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Literature Cited

  1. O. F. Vasil'ev, Fundamentals of the Mechanics of Helical and Circulatory Flows [in Russian], Gosenergoizdat, Moscow (1958).

    Google Scholar 

  2. É. I. Grigolyuk and I. T. Selezov, Nonclassical Theories of Oscillations of Rods, Plates, and Shells [in Russian], VINITI, Moscow (1973).

    Google Scholar 

  3. V. T. Grinchenko, Equilibrium and Stationary Oscillations of Elastic Bodies of Finite Dimensions [in Russian], Naukova Dumka, Kiev (1978).

    Google Scholar 

  4. I. S. Gromeka, “Some cases of motion of an incompressible fluid,” in: Collected Works, Academy of Sciences of the USSR [in Russian], Moscow (1952), pp. 76–148.

    Google Scholar 

  5. A. N. Guz', “Dynamics of solids in a compressible viscous fluid (quiescent fluid),” Prikl. Mekh., 17, No. 3, 3–22 (1981).

    Google Scholar 

  6. A. N. Guz', “Dynamics of solids in a compressible viscous fluid (moving fluid),” Prikl. Mekh., 17, No. 10, 20–30 (1981).

    Google Scholar 

  7. A. N. Guz', V. D. Kubenko, and M. A. Cherevko, diffraction of Elastic Waves [in Russian], Naukova Dumka Kiev (1978).

    Google Scholar 

  8. N. E. Zhukovskii, “Rotational theory of a propeller,” in: Collected Works, Vol. 2 [in Russian], Gostekhizdat, Moscow-Leningrad (1948), pp. 191–355.

    Google Scholar 

  9. M. V. Keldysh and F. I. Frankl', “A firm basis for the Zhukovskii propeller“, in: Collected Works: Mechanics [in Russian], Nauka, Moscow (1985), pp. 43–75.

    Google Scholar 

  10. P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Vol. 2, McGraw-Hill, New York (1953).

    Google Scholar 

  11. I. N. Naumova and Yu. D. Shmyglevskii, “On streamlines of a helical flow,” Zh. Vychisl. Mat. Mat. Fiz., 25, No. 2, 312–313 (1985).

    Google Scholar 

  12. P. f. Nemenyi, “Modern development of inverse and semi-inverse methods in the mechanics of a continuous medium,” in: Problems of Mechanics [Russian translation], Moscow (1955), pp. 234–257.

  13. N. V. Saltanov, Analytical Hydromechanics [in Russian], Naukova Dumka, Kiev (1984).

    Google Scholar 

  14. N. V. Saltanov, “Nonlinear stationary spiral waves in a rotating layer of a homogeneous and a nonhomogeneous fluid (exact solutions),” 3rd Congress of Soviet Oceanographers, Leningrad, Dec. 14–19 (1987). Paper delivered to the Section on the Physics and Chemistry of the Ocean: Wind, Interior, Tidal Waves; Tsunamis, Gidrometeoizdat, Leningrad (1987), pp. 160–161.

  15. N. V. Saltanov, “Representation of a generalized potential in the theory of homogeneous spiral flows of an incompressible fluid,” Nonlinear Problems of Mathematical Physics [in Russian], 6th Republic Conference, Donetsk, Sept. 10–15 (1987), Inst. Prikl. Mat. Mekh., Akad. Nauk UkrSSR (1987), p. 129.

  16. V. M. Seimov, Dynamic Contact Problems [in Russian], Naukova Dumka, Kiev (1976).

    Google Scholar 

  17. N. A. Slezkin, “Flow of a ideal incompressible fluid through a circular opening into the bottom of a semiinfinite cylinder with helical motion of particles,” Vestn. Mosk. Univ., Ser. 1, Mat., Mekh., No. 4, 59–64 (1986).

    Google Scholar 

  18. A. F. Ulitko, Method of Characteristic Vector Functions in Three-Dimensional Problems of Elasticity Theory [in Russian], Naukova Dumka, Kiev (1979).

    Google Scholar 

  19. L. I. Fridman, “A dynamical problem of elasticity theory for bodies of canonical form,” Prikl. Mekh.,23, No. 12, 102–108 (1987).

    Google Scholar 

  20. G. G. Chernyi, “Twisted flows of a compressible gas in conduits,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk., No. 6, 55–62 (1956).

    Google Scholar 

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Authors
  1. N. V. Saltanov
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Institute of Hydromechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 26, No. 4, pp. 97–101, April, 1990.

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Saltanov, N.V. Generalized hydrodynamic potential and its analogs in elasticity theory. Soviet Applied Mechanics 26, 403–406 (1990). https://doi.org/10.1007/BF00887136

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  • DOI: https://doi.org/10.1007/BF00887136

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