Advertisement

Soviet Applied Mechanics

, Volume 26, Issue 4, pp 403–406 | Cite as

Generalized hydrodynamic potential and its analogs in elasticity theory

  • N. V. Saltanov
Article
  • 25 Downloads

Keywords

Elasticity Theory Hydrodynamic Potential 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    O. F. Vasil'ev, Fundamentals of the Mechanics of Helical and Circulatory Flows [in Russian], Gosenergoizdat, Moscow (1958).Google Scholar
  2. 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. 3.
    V. T. Grinchenko, Equilibrium and Stationary Oscillations of Elastic Bodies of Finite Dimensions [in Russian], Naukova Dumka, Kiev (1978).Google Scholar
  4. 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. 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. 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. 7.
    A. N. Guz', V. D. Kubenko, and M. A. Cherevko, diffraction of Elastic Waves [in Russian], Naukova Dumka Kiev (1978).Google Scholar
  8. 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. 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. 10.
    P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Vol. 2, McGraw-Hill, New York (1953).Google Scholar
  11. 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. 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.Google Scholar
  13. 13.
    N. V. Saltanov, Analytical Hydromechanics [in Russian], Naukova Dumka, Kiev (1984).Google Scholar
  14. 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.Google Scholar
  15. 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.Google Scholar
  16. 16.
    V. M. Seimov, Dynamic Contact Problems [in Russian], Naukova Dumka, Kiev (1976).Google Scholar
  17. 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. 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. 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. 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

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • N. V. Saltanov

There are no affiliations available

Personalised recommendations