Nonlinearity in nanomechanical cantilevers

Euler-Bernoulli beam theory is widely used to successfully predict the linear dynamics of micro-and nanocantilever beams. However, its capacity to characterize the nonlinear dynamics of these devices has not yet been rigorously assessed, despite its use in nanoelectromechanical systems development. In this article, we report the first highly controlled measurements of the nonlinear response of nanomechanical cantilevers using an ultralinear detection system. This is performed for an extensive range of devices to probe the validity of Euler-Bernoulli theory in the nonlinear regime. We find that its predictions deviate strongly from our measurements for the nonlinearity of the fundamental flexural mode, which show a systematic dependence on aspect ratio (length/width) together with random scatter. This contrasts with the second mode, which is always found to be in good agreement with theory. These findings underscore the delicate balance between inertial and geometric nonlinear effects in the fundamental mode, and strongly motivate further work to develop theories beyond the Euler-Bernoulli approximation. DOI: 10.1103/PhysRevB.87.024304


Published in:
Physical Review B, 87, 2, 024304
Year:
2013
Publisher:
American Physical Society
ISSN:
1098-0121
Keywords:
Note:
Villanueva, LG 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 Tech Univ Denmark, Dept Micro & Nanotechnol, DK-2800 Lyngby, Denmark Univ Melbourne, Dept Math & Stat, Melbourne, Vic 3010, Australia, 078IX, Times Cited:1, Cited References Count:42
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 Record created 2013-08-06, last modified 2018-03-17

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