Nonlinear Mode-Coupling in Nanomechanical Systems
Understanding and controlling nonlinear coupling between vibrational modes is critical for the development of advanced nanomechanical devices; it has important implications for applications ranging from quantitative sensing to fundamental research. However, achieving accurate experimental characterization of nonlinearities in nanomechanical systems (NEMS) is problematic. Currently employed detection and actuation schemes themselves tend to be highly nonlinear, and this unrelated nonlinear response has been inadvertently convolved into many previous measurements. In this Letter we describe an experimental protocol and a highly linear transduction scheme, specifically designed for NEMS, that enables accurate, in situ characterization of device nonlinearities. By comparing predictions from Euler-Bernoulli theory for the intra- and intermodal nonlinearities of a doubly clamped beam, we assess the validity of our approach and find excellent agreement.
Keywords: nanomechanical systems ; nonlinear dynamics ; coupled mode analysis ; piezoelectric actuators ; piezoresistive sensors ; euler-bernoulli beam ; mass-spectrometry ; resolution ; silicon ; sensor
Roukes, ML CALTECH, Kavli Nanosci Inst, Pasadena, CA 91125 USA CALTECH, Kavli Nanosci Inst, Pasadena, CA 91125 USA CALTECH, Kavli Nanosci Inst, Pasadena, CA 91125 USA CALTECH, Dept Phys, Pasadena, CA 91125 USA CALTECH, Dept Appl Phys, Pasadena, CA 91125 USA CALTECH, Dept Bioengn, Pasadena, CA 91125 USA Univ Melbourne, Dept Math & Stat, Melbourne, Vic 3010, Australia, 125OO, Times Cited:2, Cited References Count:30
Record created on 2013-08-06, modified on 2017-02-12