Abstract:Considering the size-dependent influence ignored by classical continuum mechanics, a new non-classical Euler-Bernoulli beam model is proposed in this paper. The new fractional viscoelastic nanobeam model is set up by using the fractional viscoelastic Kelvin-Voigt model and Hamilton's principle. And the new model studies the total effects of nonlocal elasticity, modified couple stress, and surface energy. The model represented the fractional integral-partial differential governing equation is solved by Galerkin… Show more
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