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Quantum Dynamics Effects On Amplitude-Frequency Response Of Superharmonic Resonance Of Second-Order Of Electrostatically Actuated Nems Circular Plates, Dumitru Caruntu, Julio S. Beatriz
Quantum Dynamics Effects On Amplitude-Frequency Response Of Superharmonic Resonance Of Second-Order Of Electrostatically Actuated Nems Circular Plates, Dumitru Caruntu, Julio S. Beatriz
Mechanical Engineering Faculty Publications and Presentations
This work deals with the effects of Casimir and/or van der Waals forces (quantum dynamics phenomena) on the amplitude-frequency response of the superharmonic resonance of second-order of axisymmetric vibrations of electrostatically actuated nanoelectromechanical systems (NEMS) clamped circular plates. Electrostatic actuation consists of alternating current (AC) voltage of magnitude to produce hardexcitationsandoffrequencynearonefourththenaturalfrequencyoftheclamped circular plate. The intermolecular forces Casimir and van der Waals, damping force, and electrostatic force are the forces acting on the NEMS plate. Six Reduced Order Models (ROMs) with one and up to 6 modes of vibration are used. The ROM with one mode of vibration is solved using …
Secondary Resonances Of Electrostatically Actuated Mems Cantilevers, Christopher I. Reyes
Secondary Resonances Of Electrostatically Actuated Mems Cantilevers, Christopher I. Reyes
Theses and Dissertations
In this work the behavior of micro-electromechanical (MEMS) cantilever resonators is investigated. The cantilever resonators are electrostatically actuated with hard AC voltage resulting in nine distinct resonances cases including super and subharmonic resonances. The amplitude frequency and amplitude voltage bifurcation diagrams are obtained for each of the nine resonance cases. Reduced order models (ROMs) are developed to include one and two modes of vibration. Three different methods are used to solve the ROMs namely 1) the method of multiple scales (MMS), which is a perturbation method used for one mode of vibration, 2) the homotopy analysis method (HAM), which is …