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Analysis of oscillations of a plate under harmonic excitations of various types with dissipation of energy in materials

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Abstract

We suggest a procedure for the analysis of forced transverse oscillations of thin rectangular plates with regard for the energy losses in cyclically strained materials for various types of exciting harmonic forces (concentrated and uniformly or nonuniformly distributed over the surface, in particular, according to the sinusoidal law) as well as for the case of kinematic excitation by plane-parallel harmonic displacements of the supports. The oscillations of nonconservative elastic laminated systems is studied analytically by applying the asymptotic methods of nonlinear mechanics. The indicated procedure enables one to evaluate the dynamic stressed state of a laminated engineering structure as a function of the applied load in the stage of design.

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References

  1. S. P. Timoshenko, D. H. Yang, and U. Weaver,Oscillations in Engineering [in Russian], Mashinostroenie, Moscow (1985).

    Google Scholar 

  2. A. P. Filipov,Oscillations of Deformed Systems [in Russian], Mashinostroenie, Moscow (1970).

    Google Scholar 

  3. G. S. Pisarenko and O. E. Boginich, “Comparison of the results of calculations of oscillations of a system with one degree of freedom with regard for the dissipation of energy in the material obtained for different equations of the contour of the hysteresis loop,” in:Dissipation of Energy in Oscillating Mechanical Systems [in Russian], Naukova Dumka, Kiev (1974), pp. 12–24.

    Google Scholar 

  4. G. S. Pisarenko and O. E. Boginich,Oscillations of Kinematically Excited Mechanical Systems with Dissipation of Energy [in Russian], Naukova Dumka, Kiev (1981).

    Google Scholar 

  5. N. N. Davidenkov, “Dissipation of energy in the process of vibration,”Zh. Tekh. Fiz.,8, Issue 6, 483–499 (1938).

    Google Scholar 

  6. V. S. Postnikov,Internal Friction in Metals [in Russian], Metallurgiya, Moscow (1969).

    Google Scholar 

  7. E. S. Sorokin, “Closed solution of the problem of forced oscillations of rods with hysteresis,” in:Research into the Theory of Structures [in Russian], Stroiizdat, Moscow (1949), pp. 33–41.

    Google Scholar 

  8. G. S. Pisarenko, A. P. Yakovlev, and V. V. Matveev,Damping Properties of Structural Materials. A Handbook [in Russian], Naukova Dumka, Kiev (1971).

    Google Scholar 

  9. N. N. Bogolyubov and Yu. A. Mitropol’skii,Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  10. G. S. Pisarenko and O. E. Boginich, “Dissipation of energy in cyclically strained material under the conditions of the plane stressed state as applied to transverse oscillations of plates,”Probl. Prochn., No. 9, 3–13 (1970).

    Google Scholar 

  11. G. S. Pisarenko,A Generalized Nonlinear Model of the Dissipation of Energy in the Process of Oscillations [in Russian], Naukova Dumka, Kiev (1985).

    Google Scholar 

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Additional information

Institute for Problems of Strength, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Problemy Prochnosti, No. 4, pp. 117–129, July–August, 1997.

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Boginich, O.E. Analysis of oscillations of a plate under harmonic excitations of various types with dissipation of energy in materials. Strength Mater 29, 408–417 (1997). https://doi.org/10.1007/BF02767827

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  • DOI: https://doi.org/10.1007/BF02767827

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