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Forced nonlinear vibrations and dissipative heating of a viscoelastic beam

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Literature Cited

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

    Google Scholar 

  2. Ya. M. Grigorenko, E. I. Bespalova, A. T. Vasilenko, et al. Numerical Solution of Boundary-Value Problems of the Statics of Orthotropic Shells of Revolution on an M-220 Computer [in Russian], Naukova Dumka, Kiev (1971).

    Google Scholar 

  3. V. G. Karnaukhov, Coupled Problems of Thermoviscoelasticity [in Russian], Naukova Dumka, Kiev (1982).

    Google Scholar 

  4. P. M. Ogibalov and V. F. Gribanov, Thermal Stability of Plates and Shells [in Russian], Izd. Mosk. Univ. Moscow (1968).

    Google Scholar 

  5. Yu. V. Rakitskii, S. M. Ustinov, and I. G. Chernorutskii, Numerical Methods of Solving Rigid Systems [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  6. I. R. Senchenkov, “Dynamic behavior of a rod with allowance for the temperature dependence of the material properties,” Prikl. Mekh.,20, No. 2, 85–92 (1984).

    Google Scholar 

  7. I. K. Senchenkov, “Bifurcations of a viscoelastic rod with temperature-dependent characteristics during parametric vibrations,” Prikl. Mekh.,20, No. 4, 60–68 (1984).

    Google Scholar 

  8. I. K. Senchenkov, Longitudinal vibrations and heating of a rod of a nonlinear viscoelastic material,” Prikl. Mekh.,21, No. 9 79–85 (1985).

    Google Scholar 

  9. A. N. Filatov, Methods of Averaging in Differential and Integrodifferential Equations [in Russian], FAN, Tashkent (1971).

    Google Scholar 

  10. S. Woinowsky-Kriger, “The effect of an axial force vibration of hinged bar,” J. Appl. Mech.,17, No. 1, 35–36 (1950).

    Google Scholar 

  11. S. Mukherjee, “Variational principle in dynamic thermoviscoelasticity,” Int. J. Solids Struct.,9, No. 10, 1301–1316 (1973).

    Google Scholar 

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Authors
  1. I. K. Senchenkov
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  2. I. F. Kirichok
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Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 23, No. 1, pp. 91–97, January, 1987.

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Senchenkov, I.K., Kirichok, I.F. Forced nonlinear vibrations and dissipative heating of a viscoelastic beam. Soviet Applied Mechanics 23, 80–86 (1987). https://doi.org/10.1007/BF00886758

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  • DOI: https://doi.org/10.1007/BF00886758

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