Transverse Vibrations of Laminated Beams in Three-Dimensional Formulation |
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Authors: | G L Gorynin Yu V Nemirovskii |
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Institution: | (1) Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia |
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Abstract: | A new asymptotic method is proposed to describe the free and forced transverse vibrations of elastic laminated beams of arbitrary
cross section using the three-dimensional elastic equations without additional hypotheses and constraints. For beams with
layers of equal Poisson's ratio, the zero-order natural frequencies are equal to the natural frequencies predicted by classical
beam theory based on the Bernoulli hypothesis. The method makes it possible to calculate the frequencies of free vibrations
and amplitudes of forced vibrations with prescribed accuracy for the first natural modes
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 6, pp. 56–71, June 2005. |
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Keywords: | new asymptotic method beams of arbitrary cross section free and forced transverse vibrations first natural modes |
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