We study the nonlinear multi-mode dynamics of a microbeam for noncontact atomic force microscopy in ultra-high vacuum. A boundary-value problem that includes a coupled linear thermo- and viscoelastic field with a localized nonlinear atomic interaction force, augmented by the linearized heat equation, is reduced to a modal dynamical system via Galerkin’s method. An equivalent linear thermoelastic quality factor is obtained and compared with a closed form solution. A numerically obtained escape curve defines valid operating parameters for low damping conditions. Primary, secondary and coupled internal resonances of a three-mode system are examined to reveal a rich bifurcation structure.
- Design Engineering Division and Computers and Information in Engineering Division
Nonlinear Multi-Mode Dynamics of a Microbeam for Noncontact Atomic Force Microscopy in Ultra-High Vacuum
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Wu, W, Pragai, S, & Gottlieb, O. "Nonlinear Multi-Mode Dynamics of a Microbeam for Noncontact Atomic Force Microscopy in Ultra-High Vacuum." Proceedings of the ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C. Long Beach, California, USA. September 24–28, 2005. pp. 501-507. ASME. https://doi.org/10.1115/DETC2005-85742
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