%0 Journal Article %T Response Spectrum of Coupled Nanomechanical Resonators %+ Laboratoire de Physique Théorique et Astroparticules (LPTA) %A Dorignac, Jerome %A Gaidarzhy, A. %A Mohanty, P. %< avec comité de lecture %Z 08-088 %@ 0021-8979 %J Journal of Applied Physics %I American Institute of Physics %V 104 %N 7 %P 073532-073532-12 %8 2008-10-10 %D 2008 %R 10.1063/1.2996031 %K cantilevers %K micromechanical resonators %K vibrational modes %Z PACS: 07.10.Cm, 85.85.+j %Z Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Journal articles %X 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. %G English %L hal-00378494 %U https://hal.science/hal-00378494 %~ IN2P3 %~ LPTA %~ CNRS %~ UNIV-MONTP2 %~ UNIV-MONTPELLIER %~ UM1-UM2