4.7 Article

Model reduction of rotor-foundation systems using the approximate invariant manifold method

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Engineering, Mechanical

High-order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to generic forcing terms and parametrically excited systems

Andrea Opreni et al.

Summary: The direct parametrisation method is used to reduce the model order of forced-damped mechanical structures with geometric nonlinearities. Nonlinear mappings are introduced to convert degrees of freedom to normal coordinates, and arbitrary orders of expansions are considered for the unknown mappings and reduced dynamics. The method is applied to various structures, highlighting the importance of high-order non-autonomous terms and predicting phenomena like parametric excitation and isolas formation. The accuracy and computational performance of the method suggest its potential for predicting nonlinear dynamic responses in a wide range of vibratory systems.

NONLINEAR DYNAMICS (2023)

Article Engineering, Mechanical

Nonlinear Dynamics of Turbine Generator Shaft Trains: Evaluation of Bifurcation Sets Applying Numerical Continuation

Ioannis Gavalas et al.

Summary: The paper investigates the nonlinear dynamics of turbine generator shaft trains for power generation. Realistic models of rotors, pedestals, and nonlinear bearings are implemented to compose a set of nonlinear differential equations. The system's solution branches and limit cycles are evaluated using a continuation program, and their stability and quality of motion are investigated for key design parameters. Model order reduction is applied to the rotor model, and the reduced system is validated in terms of unbalanced response and stability characteristics. The main conclusion is that the system has the potential to develop instabilities at lower rotating speeds than the threshold speed of instability for specific unbalance magnitude and design properties.

JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER-TRANSACTIONS OF THE ASME (2023)

Article Engineering, Mechanical

Reduced-order modelling based on non-linear modes

Carlos E. N. Mazzilli et al.

Summary: This paper provides a detailed literature review on non-linear modes of vibration and their role in obtaining more efficient reduced-order models compared to those obtained by Galerkin's method using classical linear modes. It presents a chronological development of definitions, properties, evaluation methods, and applications of non-linear modes to engineering problems, from Poincare to Liapunov, from Rosenberg and Vakakis to Shaw and Pierre, covering the past to present progress in this field.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2022)

Article Engineering, Mechanical

Computation of damped nonlinear normal modes for large scale nonlinear systems in a self-adaptive modal subspace

Jie Yuan et al.

Summary: An advanced adaptive reduced order modelling (ROM) technique is introduced in this paper for computing damped nonlinear modes in large-scale nonlinear systems, allowing efficient computation of nonlinear modes in a reduced adaptive modal subspace, significantly reducing computing time compared to traditional methods.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2022)

Article Engineering, Mechanical

How to compute invariant manifolds and their reduced dynamics in high-dimensional finite element models

Shobhit Jain et al.

Summary: Invariant manifolds are important constructs for understanding nonlinear phenomena in dynamical systems, particularly in mechanical systems. However, their use has been limited to low-dimensional academic examples, and challenges exist in computing them for realistic engineering structures described by finite element models.

NONLINEAR DYNAMICS (2022)

Article Engineering, Mechanical

High order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to large amplitude vibrations and uncovering of a folding point

Alessandra Vizzaccaro et al.

Summary: This paper investigates model-order reduction methods for geometrically nonlinear structures using the parametrisation method of invariant manifolds. Three different styles of parametrisation are introduced and applied to three different examples, demonstrating the effectiveness of the technique in various scenarios.

NONLINEAR DYNAMICS (2022)

Article Acoustics

Continuous model applied to multi-disk and multi-bearing rotors

Arthur Mereles et al.

Summary: This study presents a modeling approach named Continuous Segment Method (CSM) for solving rotordynamics problems. By dividing the system and solving local problems, global eigenfunctions and eigenvalues can be obtained using continuity conditions. Comparing with the Finite Element Method (FEM), CSM shows great potential as an alternative method for modeling complex rotor systems.

JOURNAL OF SOUND AND VIBRATION (2022)

Article Engineering, Electrical & Electronic

Turbine Rotor Dynamics Models Considering Foundation and Stator Effects

Michal Hajzman et al.

Summary: This paper deals with the modelling and dynamic analysis of turbine rotors, including their foundation and stator parts. Two approaches to including foundation effects into dynamic models are introduced and compared. The modal properties calculation is demonstrated, and the characteristics of both methods are discussed. A comparison of the steady-state dynamic response calculated using both methods is shown.

MACHINES (2022)

Article Engineering, Civil

Operational modal analysis application to support structure identification under rotating machinery unbalance

Leonardo B. Saint Martin et al.

Summary: This article discusses the method of modal analysis of rotating machines using Operational Modal Analysis (OMA) technique. By utilizing the inherent excitation of the machine operation for structural response analysis, it is possible to obtain a high-quality estimation of modal parameters in a short period of time.

ENGINEERING STRUCTURES (2021)

Article Engineering, Multidisciplinary

Modeling of Multi-stepped Rotor-bearing Systems by the Continuous Segment Method

Arthur Mereles et al.

Summary: This work introduces a new method called Continuous Segment Method (CSM) for modeling complex rotor systems with multiple disks and bearings. The method divides the system domain into subdomains, solves the eigenvalue problem for each segment, and uses continuity conditions to develop eigenfunctions for the entire system. CSM can obtain closed-form solutions for multi-stepped rotor systems and is applicable for isotropic and homogeneous bearings.

APPLIED MATHEMATICAL MODELLING (2021)

Review Engineering, Mechanical

Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques

Cyril Touze et al.

Summary: This paper reviews nonlinear methods for model order reduction in structures with geometric nonlinearity, with a special focus on techniques based on invariant manifold theory. It first discusses the historical development and specific applications of invariant manifolds, and then addresses the specific case of structures discretised with the finite element method. The paper concludes by detailing recent developments in direct computation of reduced-order models relying on invariant manifolds theory.

NONLINEAR DYNAMICS (2021)

Article Engineering, Mechanical

Stability and Hopf bifurcations in rotor-bearing-foundation systems of turbines and generators

Athanasios Chasalevris

TRIBOLOGY INTERNATIONAL (2020)

Review Engineering, Mechanical

The numerical modeling of rotor-stator rubbing in rotating machinery: a comprehensive review

K. Prabith et al.

NONLINEAR DYNAMICS (2020)

Review Automation & Control Systems

A review on nonlinear modes in conservative mechanical systems

Alin Albu-Schaeffer et al.

ANNUAL REVIEWS IN CONTROL (2020)

Article Engineering, Mechanical

Nonlinear Dynamics of Flexible Rotors Supported on Journal Bearings-Part I: Analytical Bearing Model

Mohammad Miraskari et al.

JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME (2018)

Article Computer Science, Interdisciplinary Applications

Reduced-order modelling using nonlinear modes and triple nonlinear modal synthesis

Colas Joannin et al.

COMPUTERS & STRUCTURES (2018)

Article Acoustics

Automated computation of autonomous spectral submanifolds for nonlinear modal analysis

Sten Ponsioen et al.

JOURNAL OF SOUND AND VIBRATION (2018)

Review Computer Science, Interdisciplinary Applications

Vibration Prediction of Bladed Disks Coupled by Friction Joints

Malte Krack et al.

ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING (2017)

Article Acoustics

Numerical computation of nonlinear normal modes in mechanical engineering

L. Renson et al.

JOURNAL OF SOUND AND VIBRATION (2016)

Article Engineering, Mechanical

Nonlinear normal modes and spectral submanifolds: existence, uniqueness and use in model reduction

George Haller et al.

NONLINEAR DYNAMICS (2016)

Article Engineering, Mechanical

Evaluation of Substructure Reduction Techniques with Fixed and Free Interfaces

Fabian M. Gruber et al.

STROJNISKI VESTNIK-JOURNAL OF MECHANICAL ENGINEERING (2016)

Article Mathematics, Applied

Fast local reduced basis updates for the efficient reduction of nonlinear systems with hyper-reduction

David Amsallem et al.

ADVANCES IN COMPUTATIONAL MATHEMATICS (2015)

Article Computer Science, Interdisciplinary Applications

Optimization of the machine foundation using frequency constraints

Goranka Stimac et al.

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION (2014)

Review Mechanics

Review of Applications of Nonlinear Normal Modes for Vibrating Mechanical Systems

Konstantin V. Avramov et al.

APPLIED MECHANICS REVIEWS (2013)

Article Engineering, Mechanical

On the numerical computation of nonlinear normal modes for reduced-order modelling of conservative vibratory systems

F. Blanc et al.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2013)

Review Engineering, Mechanical

Nonlinear oscillations of rotor active magnetic bearings system

N. A. Saeed et al.

NONLINEAR DYNAMICS (2013)

Proceedings Paper Engineering, Mechanical

On the Analysis of Rotor-Bearing-Foundation Systems

Katia Lucchesi Cavalca et al.

IUTAM SYMPOSIUM ON EMERGING TRENDS IN ROTOR DYNAMICS (2011)

Article Acoustics

Whirl and whip instabilities in rotor-bearing system considering a nonlinear force model

Helio Fiori de Castro et al.

JOURNAL OF SOUND AND VIBRATION (2008)

Article Engineering, Mechanical

Analytical solution for primary resonances of a rotating shaft with stretching non-linearity

S. A. A. Hosseini et al.

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE (2008)

Article Engineering, Mechanical

Nonlinear dynamic behaviors of a rotor-labyrinth seal system

Songtao Li et al.

NONLINEAR DYNAMICS (2007)

Article Engineering, Mechanical

Bifurcation analysis of a flexible rotor supported by two fluid-film journal bearings

J. K. Wang et al.

JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME (2006)

Article Acoustics

Nonlinear normal modes for vibratory systems under harmonic excitation

D Jiang et al.

JOURNAL OF SOUND AND VIBRATION (2005)

Article Mechanics

The construction of non-linear normal modes for systems with internal resonance

D Jiang et al.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2005)

Article Engineering, Mechanical

An investigation on the influence of the supporting structure on the dynamics of the rotor system

KL Cavalca et al.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2005)

Article Acoustics

An investigation in stiffness effects on dynamics of rotor-bearing-foundation systems

Y Kang et al.

JOURNAL OF SOUND AND VIBRATION (2000)