Effect of size on the chaotic region of nano resonator

Effect of size on the chaotic region of nano resonator

In this paper, nonlocal elasticity theory is used to predict chaos in a nano-resonator. To this aim, first mode shape of a nano-beam is found and Galerkin projection method is used to convert the governing partial differential equation to an ordinary one. Melnikov method is used to determine the critical value of AC actuation voltage leading to chaotic motion. Effects of nonlocal parameter and beam thickness on the stability region of the resonator are investigated and it is shown that increasing the nonlocal parameter and decreasing the beam thickness increases the difference between stability regions obtained by two theories.