Asymptotic Computation of Invariant Manifolds of large Finite Element structures with Geometric Nonlinearities

Autor: Vizzaccaro, Alessandra, Opreni, Andrea, Salles, Loic, Frangi, Attilio Alberto, Touzé, Cyril

Publikováno v: ENOC 2020+2, 10th European Nonlinear Dynamics Conference
ENOC 2020+2, 10th European Nonlinear Dynamics Conference, Jul 2022, Lyon, France

International audience; In this contribution we present a method to directly compute asymptotic expansion of invariant manifolds of large finite element models from physical coordinates and their reduced order dynamics on the manifold. We show the ac

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::6b02a45b87767e58abdaa6e62a1d55e6
https://ensta-paris.hal.science/hal-03778411/file/ENOC2022_highorder.pdf

A numerical package for model order reduction of large dimensional finite element systems of nonlinear vibrating structures based on invariant manifold theory

Autor: Opreni, Andrea, Vizzaccaro, Alessandra, Martin, Adrien, Touzé, Cyril, Frangi, Attilio Alberto

Publikováno v: ENOC 2022-10th European Nonlinear Dynamics Conference
ENOC 2022-10th European Nonlinear Dynamics Conference, ENTPE-Université de Lyon, Jul 2022, Lyon, France

International audience; Dimensionality reduction through parametrisation of the system motion along a low dimensional invariant-based span of the phase space represents the most efficient technique for deriving reduced order models (ROM) of structure

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3515::02a3eca2e042547aee517c9a1cf3f486
https://hal.science/hal-03738453

Model order reduction for geometrically nonlinear beams featuring internal resonance and centrifugal effect

Autor: Martin, Adrien, Opreni, Andrea, Vizzaccaro, Alessandra, Salles, Loic, Frangi, Attilio Alberto, Touzé, Cyril

Publikováno v: ENOC 2022-10th European Nonlinear Dynamics Conference
ENOC 2022-10th European Nonlinear Dynamics Conference, ENTPE-Université de Lyon, Jul 2022, Lyon, France

[ENOC] Conférence internationale sur la dynamique non linéaire en ingénierie; International audience; The direct parametrisation of invariant manifold is used for model order reduction of large amplitude vibrations of clampedclamped and rotating c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3515::1525d40e14157749dff57b424fdd2016
https://hal.science/hal-03738441

Non-linear dynamics in torsional micromirrors

Autor: Frangi, Attilio Alberto, Guerrieri, Andrea, Boni, Nicolò

The main torsional mode of electrostatically in-plane actuated micromirrors is known to be driven by parametric resonance. Here we show that also a spurious yaw mode is activated by the same phenomenon and it eventually interacts with the main torsio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______166::46fd92bd4699a0e28d910448f90152cb
https://hal.archives-ouvertes.fr/hal-01926478

Green's functions for the evaluation of anchor losses in mems

Autor: Frangi, ATTILIO ALBERTO, Cremonesi, Massimiliano

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3731::b1f0530f64cf10ddebdc90896cbecf81
http://hdl.handle.net/11311/1006436