The process of developing micro- and nanoscale structures is costly and time-consuming, so it is important that their dynamic behaviour is fully understood to prevent unexpected system failures. Given the greater influence of atomic forces at this scale, as well as inherently slender components and low damping, such systems can very easily exhibit nonlinear behaviour, including modal interactions. In this paper, a cantilever microbeam with a charged tip placed between two point charges is modelled analytically. Further, the implicit condensation method is applied to create reduced-order models, the accuracy of which is assessed through comparison with the free and forced responses of the full system.
展开▼
