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V.2 No 1

85

Some features of the forced vibrations modelling

References

  1. Karavashkin, S.B. Exact analytical solutions on infinite one-dimensional elastic lumped-parameters line vibration. Materials, Technologies, Tools. Journal of National Academy of Sciences of Belarus, 4 (1999), 3, pp.15-23.

  2. Karavashkin, S.B. Exact analytical solutions on finite one-dimensional elastic lumped-parameters line vibration. Materials, Technologies, Tools. Journal of National Academy of Sciences of Belarus, 4 (1999), 4, pp.5-14 or Mathematical Physics Preprint Archive

  3. Karavashkin, S.B. Peculiarities of inclined force action upon one-dimensional homogeneous elastic lumped line. arXiv, Los Alamos, \#math-ph/0006028.

  4. Magnus, K. Vibrations. Introduction to the vibration systems studying. Mir, Moscow, 1982, 303 pp. (Russian; from edition: Eine Einfuhrung in die Theoretische Behandlung von Schwingungaproblemen. Von Dr. K. Magnus, Durchgeschene anflage, 1976, B.G. Teubner, Stuttgart).

  5. Krylov, A.N. On some differential equations of mathematical physics. MGITTL, Moscow, 1950, 368 pp. (Russian).

  6. Krylov, A.N. The ship vibration. The Principal Editorial of the Ship-engineering Literature, Leningrad - Moscow, 1936, 442 pp. (Russian).

  7. Olkhovski, I.I. Theoretical mechanics for physicists. Nauka, Moscow, 1970, 448 pp. (Russian).

  8. Savin, G.N., Kil'tchevski, I.N. and Put'ata, T.V. Theoretical mechanics. Gostechizdat, Moscow, 1963, 610 pp. (Russian).

  9. Yablonski, A.A. and Noreyko, C.C. The course of vibration theory. Visshaya shcola, Moscow, 256 pp. (Russian).

  10. Tse, F.S., Morse, I.E. and Hinkle, R.T. Vibrations. Mashinostroenie, Moscow, 1966, 508 pp. (Russian; from edition: Tse, F.S., Morse, I.E. and Hinkle, R.T. Vibrations. Allyn and Bacon, Inc., Boston, 1963).

  11. Kukhta, K.Ya. and Kravtchenko, V.P. Normal fundamental systems in the vibration theory problems. Naukova dumka, Kiev, 1973, 208 pp. (Russian).

  12. Gantmakher, F.R. and Krain, M.G. Oscillative matrixes and nuclei and small oscillations of mechanical systems. GITTL, Moscow - Leningrad, 1950, 354 pp. (Russian).

  13. Hellinger, E. and Toeplitz, O. Integralgleichungen und Gleichungen mit unendlichvielen Unbekannten, Verlag von Teubner, Leipzig und Berlin, 1927 (German).

  14. Pain, H.J. The physics of vibrations and waves. Mir, Moscow, 1979, 389 pp. (Russian; from edition: Pain, H.J. The physics of vibrations and waves. John Wiley and Sons, Ltd., London - New York - Sydney - Toronto, 1976, English).

  15. Blakemore, J. The solid physics. Metallurgia, Moscow, 1972 (Russian; from English edition).

  16. Biceno, K. and Grammel, R. The engineering dynamics, vol.II. Gostechizdat, Moscow, 1952 (Russian; from German edition).

  17. Shilov, G.Ye. Mathematical analysis (the function of one variable). Nauka, Moscow, 1970, 352 pp. (Russian).

  18. Karavashkin, S,B. And Karavashkina, O.N. "Some features of vibrations in homogeneous 1d resistant elastic lumped line". SELF Transactions, 2 (2002), 1, pp.17-34;  or Mathematical Physics Preprint Archive

 

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