Nonlinear Dynamics and Parametric Excitation of Piezo-Micro Biological Sensor

DOI10.5890/JAND.2020.06.011zbMath1484.92035OpenAlexW3034235781MaRDI QIDQ5037176

Sayyid H. Hashemi Kachapi, S. Gh. Hashemi Kachapi

Publication date: 25 February 2022

Published in: Journal of Applied Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/jand.2020.06.011

zbMATH Keywords

Hamiltonian approachsuperharmonic resonanceforced Mathieu equationmultiple time scales approachpiezo-micro biological sensor

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Biosensors (not for medical applications) (92C47)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics and vibrations. Progress in nonlinear analysis
• Pure parametric excitation of a micro cantilever beam actuated by piezoelectric layers
• Stabilizing the pull-in instability of an electro-statically actuated micro-beam using piezoelectric actuation
• Frequency locking in a forced Mathieu--Van der Pol--Duffing system
• Bifurcations in a Mathieu equation with cubic nonlinearities
• Nonlinear dynamics and stability analysis of piezo-visco medium nanoshell resonator with electrostatic and harmonic actuation
• Non-linear frequency response and stability analysis of piezoelectric nanoresonator subjected to electrostatic excitation
• Application of piezoelectric actuation to regularize the chaotic response of an electrostatically actuated micro-beam
• Tuning the primary resonances of a micro resonator, using piezoelectric actuation
• Asymmetric Mathieu equations

This page was built for publication: Nonlinear Dynamics and Parametric Excitation of Piezo-Micro Biological Sensor