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Journal of Applied Physics 104, 7 (2008) 073532-073532-12
Response Spectrum of Coupled Nanomechanical Resonators
Jerome Dorignac1, A. Gaidarzhy, P. Mohanty

We develop a simple continuum model to analyze the vibrational modes of a nanomechanical multielement structure. In this model, arrays of submicron cantilevers located symmetrically on both sides of the central clamped-clamped nanobeam are replaced by a continuum. In this approach, the equations of motion of the structure become exactly solvable. Our analytical results capture the main features of the vibrational modes observed both numerically and experimentally and can be applied to a general class of scale-independent elasticaly coupled resonator structures.
1 :  LPTA - Laboratoire de Physique Théorique et Astroparticules
Science non linéaire/Formation de Structures et Solitons
cantilevers – micromechanical resonators – vibrational modes