Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques
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 …
geometric nonlinearity, with a special emphasis on the techniques based on invariant …
High-order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to generic forcing terms and parametrically …
The direct parametrisation method for invariant manifolds is used for model order reduction
of forced-damped mechanical structures subjected to geometric nonlinearities. Nonlinear …
of forced-damped mechanical structures subjected to geometric nonlinearities. Nonlinear …
Model order reduction based on direct normal form: application to large finite element MEMS structures featuring internal resonance
Dimensionality reduction in mechanical vibratory systems poses challenges for distributed
structures including geometric nonlinearities, mainly because of the lack of invariance of the …
structures including geometric nonlinearities, mainly because of the lack of invariance of the …
Frequency combs in a MEMS resonator featuring 1: 2 internal resonance: ab initio reduced order modelling and experimental validation
This paper is devoted to a detailed analysis of the appearance of frequency combs in the
dynamics of a micro-electro-mechanical systems (MEMS) resonator featuring 1: 2 internal …
dynamics of a micro-electro-mechanical systems (MEMS) resonator featuring 1: 2 internal …
Reduced order modelling and experimental validation of a MEMS gyroscope test-structure exhibiting 1: 2 internal resonance
Abstract Micro-Electro-Mechanical Systems revolutionized the consumer market for their
small dimensions, high performances and low costs. In recent years, the evolution of the …
small dimensions, high performances and low costs. In recent years, the evolution of the …
Finite element computation of nonlinear modes and frequency response of geometrically exact beam structures
M Debeurre, A Grolet, B Cochelin, O Thomas - Journal of Sound and …, 2023 - Elsevier
An original method for the simulation of the dynamics of highly flexible slender structures is
presented. The flexible structures are modeled via a finite element (FE) discretization of a …
presented. The flexible structures are modeled via a finite element (FE) discretization of a …
Reduced order modeling of nonlinear microstructures through proper orthogonal decomposition
Abstract We apply the Proper Orthogonal Decomposition (POD) method for the efficient
simulation of several scenarios undergone by Micro-Electro-Mechanical-Systems, involving …
simulation of several scenarios undergone by Micro-Electro-Mechanical-Systems, involving …
Nonlinear dynamics of coupled oscillators in 1: 2 internal resonance: effects of the non-resonant quadratic terms and recovery of the saturation effect
This article considers the nonlinear dynamics of coupled oscillators featuring strong
coupling in 1: 2 internal resonance. In forced oscillations, this particular interaction is the …
coupling in 1: 2 internal resonance. In forced oscillations, this particular interaction is the …
Generation and evolution of phononic frequency combs via coherent energy transfer between mechanical modes
Phononic frequency combs represent the mechanical analog of optical frequency combs.
Several independent experimental studies have demonstrated the onset and evolution …
Several independent experimental studies have demonstrated the onset and evolution …
Nonlinear model order reduction of resonant piezoelectric micro-actuators: An invariant manifold approach
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 …
manifolds able to build simulation-free reduced-order models for nonlinear piezoelectric …