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 …
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 …
Reduced Order Modelling of Fully Coupled Electro‐Mechanical Systems Through Invariant Manifolds With Applications to Microstructures
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 …
manifolds to a fully coupled multiphysics problem involving the nonlinear vibrations of …
Arclength-based response matching of multivalued frequency responses to update models with strong nonlinearities
Abstract Model updating of strongly nonlinear systems is a vital tool to establish the precise
nonlinear model from the multivalued responses and one major step in the updating process …
nonlinear model from the multivalued responses and one major step in the updating process …
Reduced-order modeling of geometrically nonlinear structures. Part II: Correspondence and unified perspectives on different reduction techniques
T Guo, G Rega - Nonlinear Dynamics, 2023 - Springer
Reduced-order models derived by routine finite mode Galerkin truncation of nonlinear
continuous structures may lead to errors in the results, especially for quadratic nonlinearity …
continuous structures may lead to errors in the results, especially for quadratic nonlinearity …
Reduced-order modeling of geometrically nonlinear structures. Part I: A low-order elimination technique
T Guo, G Rega - Nonlinear Dynamics, 2023 - Springer
A general methodology for reduced-order modeling of geometrically nonlinear structures is
proposed. This approach is built upon equivalent elimination of low-order nonlinear terms by …
proposed. This approach is built upon equivalent elimination of low-order nonlinear terms by …