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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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