Ralston Fernandes

TL;DR: In this paper, the free and forced vibration response of simply-supported functionally graded (FG) nanobeams resting on a non-linear elastic foundation is investigated, where the two-constituent FGM is assumed to follow a power-law distribution through the beam thickness.

TL;DR: In this article, the authors proposed a modal analysis approach to obtain analytical expressions for the edge frequencies of the created bandgaps, where the lattice constant of the resulting metastructure is much smaller than the operating flexural wavelength of the host beam.

TL;DR: In this paper, the longitudinal linear and nonlinear free vibration response of a single walled carbon nanotube (CNT) embedded in an elastic medium subjected to different boundary conditions is studied.

TL;DR: In this paper, the free and forced vibration of a nonlocal Timoshenko graded nanobeam resting on a nonlinear elastic foundation is investigated, and the effects of the nonlocal parameter, power-law index, linear and nonlinear stiffnesses of the elastic foundation as well as the boundary conditions on the dynamic response of the nanobam are investigated.

TL;DR: In this article, a nonlinear finite strain and velocity gradient framework is formulated for the Euler-Bernoulli beam theory, which includes both static and kinetic internal length scales to capture size effects.