In this paper we formulate a nonlinear boundary-value problem describing thermoelastic dynamics of a microbeam for noncontacting Atomic Force Microscopy (AFM) that is operating in an ultra-high vacuum environment (UHV). A modal Galerkin projection yields a strongly nonlinear dynamical system that is governed by a planar homoclinic structure describing escape from a potential well. This structure is perturbed by both thermoelastic damping and modulated periodic actuation and reveals existence of local and global bifurcations and sheds light on possible thermoelastic instabilities leading to aperiodic dynamics.

This content is only available via PDF.
You do not currently have access to this content.