Pure parametric excitation of a micro cantilever beam actuated by piezoelectric layers

DOI10.1016/j.apm.2010.04.017zbMath1201.74175OpenAlexW2033176516WikidataQ58483315 ScholiaQ58483315MaRDI QIDQ611710

Ghader Rezazadeh, Saber Azizi, Mohammad-Reza Ghazavi

Publication date: 14 December 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2010.04.017

zbMATH Keywords

stabilityMathieu equationpiezoelectric layerMEMS/NEMSmicrobeam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Micromechanics of solids (74M25) Stability of dynamical problems in solid mechanics (74H55)

Related Items (5)

Nonlinear Dynamics and Parametric Excitation of Piezo-Micro Biological Sensor ⋮ Stabilizing the pull-in instability of an electro-statically actuated micro-beam using piezoelectric actuation ⋮ Nonlinear vibration and stability analysis of the curved microtube conveying fluid as a model of the micro coriolis flowmeters based on strain gradient theory ⋮ Nonlinear analysis of the micro/nanotube conveying fluid based on second strain gradient theory ⋮ Extremely large-amplitude dynamics of cantilevers under coupled base excitation

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• Bifurcations in a Mathieu equation with cubic nonlinearities
• Maximal Lyapunov exponent and almost-sure stability for Stochastic Mathieu–Duffing Systems
• Response of piezoelectric stack actuators under combined electro-mechanical loading

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