Review for order reduction based on proper orthogonal decomposition and outlooks of applications in mechanical systems
K Lu, Y **, Y Chen, Y Yang, L Hou, Z Zhang… - … Systems and Signal …, 2019 - Elsevier
This paper presents a review of proper orthogonal decomposition (POD) methods for order
reduction in a variety of research areas. The historical development and basic mathematical …
reduction in a variety of research areas. The historical development and basic mathematical …
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 …
Simulation process of flexible multibody systems with non-modal model order reduction techniques
One important issue for the simulation of flexible multibody systems is the reduction of the
flexible body's degrees of freedom. In this work, nonmodal model reduction techniques for …
flexible body's degrees of freedom. In this work, nonmodal model reduction techniques for …
Data-driven dynamic emulation modelling for the optimal management of environmental systems
The optimal management of large environmental systems is often limited by the high
computational burden associated to the process-based models commonly adopted to …
computational burden associated to the process-based models commonly adopted to …
Accelerating optimization of parametric linear systems by model order reduction
Y Yue, K Meerbergen - SIAM Journal on Optimization, 2013 - SIAM
Design optimization problems are often formulated as an optimization problem whose
objective is a function of the output of a large-scale parametric linear system, obtained from …
objective is a function of the output of a large-scale parametric linear system, obtained from …
Shape optimization of solid–air porous phononic crystal slabs with widest full 3D bandgap for in-plane acoustic waves
Abstract The use of Phononic Crystals (PnCs) as smart materials in structures and
microstructures is growing due to their tunable dynamical properties and to the wide range …
microstructures is growing due to their tunable dynamical properties and to the wide range …
Efficient frequency response and its direct sensitivity analyses for large-size finite element models using Krylov subspace-based model order reduction
JS Han - Journal of mechanical science and technology, 2012 - Springer
In this paper, we examine an efficient calculation of the approximate frequency response
(FR) for large-size finite element (FE) models using the Krylov subspace-based model order …
(FR) for large-size finite element (FE) models using the Krylov subspace-based model order …
A two-step approach for model reduction in flexible multibody dynamics
M Lehner, P Eberhard - Multibody System Dynamics, 2007 - Springer
In this work, a two-step approach for model reduction in flexible multibody dynamics is
proposed. This technique is a combination of the Krylov-subspace method and a Gramian …
proposed. This technique is a combination of the Krylov-subspace method and a Gramian …
[BOOK][B] Model order reduction of nonlinear dynamical systems
C Gu - 2011 - search.proquest.com
Higher-level representations (macromodels, reduced-order models) abstract away
unnecessary implementation details and model only important system properties such as …
unnecessary implementation details and model only important system properties such as …
Data-driven model order reduction for problems with parameter-dependent jump-discontinuities
We propose a data-driven model order reduction (MOR) technique for parametrized partial
differential equations that exhibit parameter-dependent jump-discontinuities. Such problems …
differential equations that exhibit parameter-dependent jump-discontinuities. Such problems …