Frequency Domain Analysis of Nano-Objects Subject to Periodic External Excitation

In this study, we investigate radial forced vibration of nano-objects with spherical or elongated morphologies on the basis of nonlocal elasticity theory. A new explicit formula is proposed for the frequency response function (FRF) of the nano-objects with consideration of the small-scale effect and loading frequency. The parametric study is thoroughly performed to elucidate the small-scale effect, the effect of radius of nano-objects and the effect of elastic moduli ratio. The present model indicates that the elastic response of both spherical and elongated nano-objects can be predicted only by a single formulation and the FRF of the nano-objects is mathematically simple and its physical interpretation is unambiguous. The present results show that it is necessary to include the effect of the small-scale effect on the elastic response of the nano-objects.