Modeling and measurement of geometrically nonlinear damping in a microcantilever-nanotube system

Bongwon Jeong, Hanna Cho, Min Feng Yu, Alexander F. Vakakis, Donald Michael McFarland, Lawrence A. Bergman

Research output: Contribution to journalArticlepeer-review


Nonlinear mechanical systems promise broadband resonance and instantaneous hysteretic switching that can be used for high sensitivity sensing. However, to introduce nonlinear resonances in widely used microcantilever systems, such as AFM probes, requires driving the cantilever to an amplitude that is too large for any practical applications. We introduce a novel design for a microcantilever with a strong nonlinearity at small cantilever oscillation amplitude arising from the geometrical integration of a single BN nanotube. The dynamics of the system was modeled theoretically and confirmed experimentally. The system, besides providing a practical design of a nonlinear microcantilever-based probe, demonstrates also an effective method of studying the nonlinear damping properties of the attached nanotube. Beyond the typical linear mechanical damping, the nonlinear damping contribution from the attached nanotube was found to be essential for understanding the dynamical behavior of the designed system. Experimental results obtained through laser microvibrometry validated the developed model incorporating the nonlinear damping contribution.

Original languageEnglish (US)
Pages (from-to)8547-8553
Number of pages7
JournalACS Nano
Issue number10
StatePublished - Oct 22 2013


  • geometric nonlinearity
  • micro/nanomechanical resonator
  • nanotubes
  • nonlinear damping
  • nonlinear resonance

ASJC Scopus subject areas

  • Materials Science(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Modeling and measurement of geometrically nonlinear damping in a microcantilever-nanotube system'. Together they form a unique fingerprint.

Cite this