Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques

C Touzé, A Vizzaccaro, O Thomas - Nonlinear Dynamics, 2021 - Springer
This paper aims at reviewing nonlinear methods for model order reduction in structures with
geometric nonlinearity, with a special emphasis on the techniques based on invariant …

[HTML][HTML] Effective quality factor tuning mechanisms in micromechanical resonators

JML Miller, A Ansari, DB Heinz, Y Chen… - Applied Physics …, 2018 - pubs.aip.org
Quality factor (Q) is an important property of micro-and nano-electromechanical (MEM/NEM)
resonators that underlie timing references, frequency sources, atomic force microscopes …

Identification of nonlinear modes using phase-locked-loop experimental continuation and normal form

V Denis, M Jossic, C Giraud-Audine, B Chomette… - … Systems and Signal …, 2018 - Elsevier
In this article, we address the model identification of nonlinear vibratory systems, with a
specific focus on systems modeled with distributed nonlinearities, such as geometrically …

A comprehensive categorization of micro/nanomechanical resonators and their practical applications from an engineering perspective: a review

N Ghaemi, A Nikoobin… - Advanced Electronic …, 2022 - Wiley Online Library
Micro/nanoelectromechanical systems (M/NEMS), especially micro/nanomechanical
resonators, provide an unprecedented platform for investigating a wide range of applications …

Synchronous mass detection based on 1: 1: 2 internal resonance of piezo-driven resonator

L Li, D Li, W Yang, C Liu, X Dai, W Zhang - International Journal of …, 2023 - Elsevier
The bifurcation-based mass sensor can take advantage of amplitude jumps between
multiple steady states to realize quantitative mass detection and mass warning. Compared …

On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models

A Givois, A Grolet, O Thomas, JF Deü - Nonlinear Dynamics, 2019 - Springer
This paper presents a general methodology to compute nonlinear frequency responses of
flat structures subjected to large amplitude transverse vibrations, within a finite element …

Experimental and mathematical analysis of a piezoelectrically actuated multilayered imperfect microbeam subjected to applied electric potential

M Moory-Shirbani, HM Sedighi, HM Ouakad… - Composite Structures, 2018 - Elsevier
In this paper we propose to fabricate a microcantilever beam actuator using thin layer PZT
material. The multilayered microbeam is initially curved due to fabrication process. The …

Reduced Order Modelling of Fully Coupled Electro‐Mechanical Systems Through Invariant Manifolds With Applications to Microstructures

A Frangi, A Colombo, A Vizzaccaro… - International Journal for …, 2023 - Wiley Online Library
This article presents the first application of the direct parametrisation method for invariant
manifolds to a fully coupled multiphysics problem involving the nonlinear vibrations of …

Nonlinear model order reduction of resonant piezoelectric micro-actuators: An invariant manifold approach

A Opreni, G Gobat, C Touzé, A Frangi - Computers & Structures, 2023 - Elsevier
This paper presents a novel derivation of the direct parametrisation method for invariant
manifolds able to build simulation-free reduced-order models for nonlinear piezoelectric …

Bifurcation-based micro-/nanoelectromechanical mass detection

VN Nguyen, S Baguet, CH Lamarque, R Dufour - Nonlinear Dynamics, 2015 - Springer
This paper investigates an alternative mass-sensing technique based on nonlinear micro-/
nanoelectromechanical resonant sensors. The proposed approach takes advantage of multi …