| This thesis work deals with electrostatically actuated Carbon nanotubes (CNTs) cantilevers. Four forces act on the CNTs cantilever, namely electrostatic, elastostatic, van der Waals and damping. The van der Waals force is significant for values of 50nm or lower of the gap between the CNTs and the ground substrate. As both forces electrostatic and van der Waals are nonlinear, and the CNTs electrostatic actuation is given by alternating current (AC) voltage, and CNTs undergoes nonlinear parametric dynamics. The method of multiple scales (MMS) and reduced order model (ROM) are used to investigate the system under soft excitation and weak nonlinearities. The frequency-amplitude and frequency-phase behavior are reported in the case of resonance due to AC near half natural frequency and AC near primary natural frequency. |
