Nonlinear dynamics of carbon nanotubes under large electrostatic force

摘要: Because of the inherent nonlinearities involving behavior CNTs when excited by electrostatic forces, modeling and simulating their is challenging. The complicated form force describing interaction cylindrical shape, forming upper electrodes, to lower electrodes poises serious computational challenges. This presents an obstacle against applying using several nonlinear dynamics tools typically used analyze systems, such as shooting, continuation, integrity analysis techniques. works attempt resolve this issue. We present investigation carbon nanotubes actuated large forces. study expanding into enough number terms Taylor series. Then, we utilize along with Euler–Bernoulli beam model static dynamic CNTs. geometric nonlinearity are considered. An efficient reduced-order (ROM) based on Galerkin method developed utilized simulate responses Several results generated demonstrating softening hardening near primary secondary resonances. effect DC voltage load AC has been studied. also investigated impact initial slack level natural frequency nonlinearity. Small diameter slacked considered.Copyright © 2015 ASME