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. ORCID NO: 0000-0002-2976-1044
Anahtar Kelimeler: Electrostatic force sensitivity, Carbon nanotube, Forced Rayleigh-Lienard oscillator
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