Exotic tiling patterns of quasicrystals have motivated extensive studies quantum phenomena such as critical states and phasons. Nevertheless, the systematic understanding Landau levels in presence magnetic field has not been established yet. One main obstacles is complication quasiperiodic tilings without periodic length scales, thus it thought that system cannot possess any universal features ...

In this article free vibration of a Timoshenko nanobeam with variable cross-section is investigated using nonlocal elasticity theory within the scope of continuum mechanics. Small scale effects are modelled after Eringen’s nonlocal elasticity theory while the non-uniformity is presented by exponentially varying width through the beam length with constant thickness. Analytical solution is achiev...