Model Reduction Methods for Rotor Dynamic Analysis: A Survey and Review
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TLDR
This survey discusses the previous literature reviews on model reduction, reduction methods applied to rotor systems, the current state of these reduction methods in rotor dynamics, and the ability of the literature to reduce the complexities of large order rotor dynamic systems but allow accurate solutions.Abstract:
The focus of this literature survey and review is model reduction methods and their application to rotor dynamic systems. Rotor
dynamic systems require careful consideration in their dynamic models as they include unsymmetric stiffness, localized nonproportional
damping, and frequency-dependent gyroscopic effects. The literature reviewed originates from both controls and
mechanical systems analysis and has been previously applied to rotor systems. This survey discusses the previous literature
reviews on model reduction, reduction methods applied to rotor systems, the current state of these reduction methods in rotor
dynamics, and the ability of the literature to reduce the complexities of large order rotor dynamic systems but allow accurate
solutions.read more
Citations
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Journal ArticleDOI
On closures for reduced order models—A spectrum of first-principle to machine-learned avenues
Shady E. Ahmed,Suraj Pawar,Omer San,Adil Rasheed,Traian Iliescu,Bernd R. Noack,Bernd R. Noack +6 more
TL;DR: In this article, the effect of the discarded reduced order modes in under-resolved simulations is modeled using data-driven proper orthogonal decomposition (POD) modeling.
Journal ArticleDOI
On closures for reduced order models $-$ A spectrum of first-principle to machine-learned avenues
Shady E. Ahmed,Suraj Pawar,Omer San,Adil Rasheed,Traian Iliescu,Bernd R. Noack,Bernd R. Noack +6 more
TL;DR: In this paper, the authors focus on the effect of the discarded reduced order modes in under-resolved simulations and show how data-driven modeling, artificial intelligence, and machine learning have changed the standard reduced order modeling methodology over the last two decades.
Journal ArticleDOI
The applications of POD method in dual rotor-bearing systems with coupling misalignment
Kuan Lu,Kuan Lu,Yulin Jin,Yulin Jin,Panfeng Huang,Fan Zhang,Haopeng Zhang,Chao Fu,Yushu Chen +8 more
TL;DR: In this paper, the proper orthogonal decomposition (POD) method is applied to the dimension reduction of dual rotor-bearing experiment rig which is similar to an aero-engine rotor.
Journal ArticleDOI
Hybrid analysis and modeling, eclecticism, and multifidelity computing toward digital twin revolution
TL;DR: This perspective paper is centered around exploring numerous principle concepts to address the challenges of trustworthiness and generalizability in developing data‐driven models to shed light on understanding the fundamental trade‐offs in their accuracy and efficiency.
Journal ArticleDOI
Nonlinear dynamic analysis of a complex dual rotor-bearing system based on a novel model reduction method
TL;DR: In this paper, a two-level model order reduction (MOR) method is proposed by combining component mode synthesis (CMS) method and proper orthogonal decomposition (POD) technique.
References
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Book
Concepts and Applications of Finite Element Analysis
TL;DR: In this article, the authors present a formal notation for one-dimensional elements in structural dynamics and vibrational properties of a structural system, including the following: 1. Isoparametric Elements.
Journal ArticleDOI
Principal component analysis in linear systems: Controllability, observability, and model reduction
TL;DR: In this paper, it is shown that principal component analysis (PCA) is a powerful tool for coping with structural instability in dynamic systems, and it is proposed that the first step in model reduction is to apply the mechanics of minimal realization using these working subspaces.
Journal ArticleDOI
Coupling of substructures for dynamic analyses.
M. C. C. Bampton,Roy R. Craig +1 more
TL;DR: In this article, a method for treating a complex structure as an assemblage of distinct regions, or substructures, is presented using basic mass and stiffness matrices, together with conditions of geometrical compatibility along substructure boundaries.
Book
Approximation of Large-Scale Dynamical Systems
TL;DR: This paper presents SVD-Krylov Methods and Case Studies, a monograph on model reduction using Krylov methods for linear dynamical systems, and some examples of such reduction schemes.
Journal ArticleDOI
Reduction of stiffness and mass matrices
TL;DR: In this article, the authors proposed a method for reducing the size of the stiffness matrix by eliminating coordinates at which no forces are applied, based on the procedure used in Ref. 1 for stiffness matrix reduction.