Physics – Mathematical Physics
Scientific paper
2009-03-12
Physics
Mathematical Physics
8 pages, 5 figures, additional info can be found at http://nano.bu.edu
Scientific paper
We propose a general one-dimensional {\em continuous} formulation to analyze the vibrational modes of antenna-like nanomechanical resonators consisting of two symmetric arrays of cantilevers affixed to a central nano-beam. The cantilever arrays can have arbitrary density and length profile along the beam. We obtain the secular equation that allows for the determination of their frequency spectrum and illustrate the results on the particular examples of structures with constant or alternating cantilever length profiles. We show that our analytical results capture the vibration spectrum of such resonators and elucidate key relationships that could prove advantageous for experimental device performance. Furthermore, using a perturbative approach to treat the nonlinear and dissipative dynamics of driven structures, we analyze the anharmonic coupling between two specific widely spaced modes of the coupled-element device, with direct application to experiments.
Dorignac Jérôme
Gaidarzhy Alexei
Mohanty Payal
No associations
LandOfFree
Arbitrary distribution and nonlinear modal interaction in coupled nanomechanical resonators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Arbitrary distribution and nonlinear modal interaction in coupled nanomechanical resonators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Arbitrary distribution and nonlinear modal interaction in coupled nanomechanical resonators will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-35866