In this study, analytical solution is presented to calculate the free vibration frequencies of nonuniform microbeams. Scale effects are modelled using modified couple stress theory and the microbeam is assumed to be thin while Poisson's ratio effects are also taken into account. Nonuniformity is presented by exponentially varying width among the microbeam while the thickness remains constant. R...

PurposeConsidering the size-dependent influence ignored by classical continuum mechanics, a new non-classical Euler–Bernoulli beam model is proposed in this paper. The fractional viscoelastic nanobeam set up using Kelvin–Voigt and Hamilton’s principle. And studies total effects of nonlocal elasticity, modified couple stress, surface energy.MethodsThe represented integral-partial differential go...