13th International Congress On Engineerıng, Architecture And Design, İstanbul, Türkiye, 8 - 09 Haziran 2024, ss.1
Dynamics
of micro- and nano-electro-mechanical systems under electrostatic forces have
been extensively studied considering the relevant mathematical models.
Nanostructures can be robustly designed for diverse applications with the
consideration of their responses to external forces. Herein, nonlinear dynamic
models can be effectively utilized to estimate time-varying deflections of the
dynamic systems. In this current work, the static responses of the Carbon
Nanotube (CNT) to electrostatic forces are explored using a new conceptual
framework based on the forced Rayleigh-Lienard oscillator. The simulation
results indicate that behaviours of the CNT within particular time periods do
not notably change with varying nonlinearity coefficients in the
Rayleigh-Lienard functions. Correspondingly, the damping ratio and the elastic
stiffness mostly characterize the rapid and steep responses to electrostatic
force on the time domain. It is also worth mentioning that the effective mass
has a considerable influence on the static deflection of the CNT. In addition
to that, remarkable variations in the CNT responses are observed for different
amplitudes and circular frequencies of AC voltage signals. For instance, the
static deflection of the CNT increases from around 62 nm to around 157 nm as the
circular frequency is varied in the range from 30 to 100 x 10-3
Volts. Therefore, the novel mathematical framework proposed in the present work
can be robustly utilized to investigate the static responses of the CNTs under
electrostatic forces.