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.
- Design Engineering Division and Computers and Information in Engineering Division
Nonlinear Dynamics of a Noncontacting Atomic Force Microscope in Ultra-High Vacuum
- Views Icon Views
- Share Icon Share
- Search Site
Gottlieb, O. "Nonlinear Dynamics of a Noncontacting Atomic Force Microscope in Ultra-High Vacuum." Proceedings of the ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C. Chicago, Illinois, USA. September 2–6, 2003. pp. 1815-1819. ASME. https://doi.org/10.1115/DETC2003/VIB-48523
Download citation file: