☆ 4.7 Article

On the detection of nonlinear normal mode-related isolated branches of periodic solutions for high-dimensional nonlinear mechanical systems with frictionless contact interfaces

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2024)

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

Stability Analysis of an Industrial Blade Accounting for a Blade-Tip/Casing Nonlinear Interface

Yann Colaitis et al.

Summary: This paper investigates the local stability analysis of periodic solutions of an industrial compressor blade’s nonlinear vibration response, where different types of nonlinearities are applied. It proposes a harmonic balance method-based approach that accounts for unilateral contact and dry friction through a penalty law. The paper also uses a Lanczos filtering technique to mitigate spurious oscillations, and a component mode synthesis technique to reduce the dimension of the model. The stability assessment of the solutions is performed through Floquet theory and two methodologies, and the results show the efficiency of Hill's method for industrial models.

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

添加到收藏夹

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)

添加到收藏夹

Article Engineering, Mechanical

Effect of dry friction on a parametric nonlinear oscillator

S. Benacchio et al.

Summary: This study investigates the effect of dry friction on the dynamical behavior of a nonlinear parametric oscillator. The harmonic balance method and the method of varying amplitudes are used to find the solutions of the equation and their stability. It is found that the presence of dry friction leads to disconnected trivial and nontrivial solutions of the oscillator, requiring careful selection of initial conditions to obtain periodic solutions.

NONLINEAR DYNAMICS (2022)

添加到收藏夹

Article Mechanics

Parametric study on internal resonances for a simplified nonlinear blade model

Nicolas Di Palma et al.

Summary: This article aims to determine and identify the physical contributions that drive the internal resonance between the bending and torsion modes of a blade. A nonlinear beam model with warping, twist, and pre-bending is used, and a discretization scheme based on Rayleigh-Ritz approximation is performed. Modal properties are compared and validated using beam theory and finite element modeling. The Harmonic Balance Method and a branch switching algorithm are employed to obtain frequency responses near the second bending mode and locate bifurcated branches related to internal resonances. The study highlights the importance of certain coupling parameters involving bending and torsion displacements in driving the internal resonance, which is also observed in a rotating situation due to the hardening of the bending mode.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2022)

添加到收藏夹

Article Acoustics

On Harmonic Balance Method-based Lagrangian contact formulations for vibro-impact problems

Thibaut Vadcard et al.

Summary: This article assesses two numerical strategies based on the Harmonic Balance Method for characterizing the periodic response of a mechanical system with unilateral contact constraints. The study compares the Linear Complementarity Problem (LCP-HBM) and Dynamic Lagrangian Frequency Time (DLFT-HBM) methods and finds that the DLFT-HBM is asymptotically equivalent to the LCP-HBM. The study also highlights the non-physical high harmonics generated by oversampling time signals.

JOURNAL OF SOUND AND VIBRATION (2022)

添加到收藏夹

Article Mechanics

Algebraic techniques and perturbation methods to approach frequency response curves

C. -h. Lamarque et al.

Summary: Algebra is used to study the approximate responses of nonlinear dynamical systems and trace the solutions of approximated bifurcation diagrams. It involves searching for approximated periodic solutions of nonlinear ordinary differential equations and obtaining polynomial equations. The methodology presented in this study allows for the detection of a maximal number of solutions, including those belonging to isolated frequency response curves of the system.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2022)

添加到收藏夹

Article Engineering, Mechanical

Assessment of Two Harmonic Balance Method-Based Numerical Strategies for Blade-Tip/Casing Interactions: Application to NASA Rotor 67

Thibaut Vadcard et al.

Summary: This paper focuses on the analysis of rubbing interactions between a rotating fan blade and a rigid casing using frequency domain methods. Two different methodologies based on Harmonic Balance Method are assessed and compared with a time-domain numerical strategy. The results show good agreement between the different strategies and the reference approach. An in-depth analysis of the main modal contributions for each solution is also presented.

JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER-TRANSACTIONS OF THE ASME (2022)

添加到收藏夹

Article Acoustics

Stability analysis of periodic solutions computed for blade-tip/casing contact problems

Y. Colaitis et al.

Summary: This article focuses on the stability assessment of mechanical systems with a nonlinear interface and unilateral contact constraints. By using the regularized-Lanczos harmonic balance method, periodic solutions for each system are computed. Different stability assessment numerical algorithms, including the Newmark 2n-pass method and Hill's method using eigenvalue sorting, are implemented to investigate their convergence and accuracy. The gradually increasing complexity of the considered mechanical systems provides insights into the best-suited stability assessment numerical algorithm for dealing with contact nonlinearities. Attention is also paid to specific developments that enhance the numerical efficiency of the stability assessment process, such as the iterative solver, computation of analytical derivatives, problem scaling, and the use of fast Fourier transforms. The influence of the Lanczos filtering procedure on stability assessment is also examined. The article concludes that both the Newmark 2n-pass method and Hill's method are applicable to large industrial systems with a nonlinear interface, but Hill's method has faster convergence and may be a better option for accurate and efficient stability assessment, with Lanczos filtering having a negligible influence.

JOURNAL OF SOUND AND VIBRATION (2022)

添加到收藏夹

Article Engineering, Mechanical

An extended energy balance method for resonance prediction in forced response of systems with non-conservative nonlinearities using damped nonlinear normal mode

Yekai Sun et al.

Summary: The study extends the energy balance method to systems with non-conservative nonlinearities using the concept of damped nonlinear normal modes. This extended method involves a balance between different energy components, and has been successfully tested on both simplified models and full-scale structures to predict resonances efficiently.

NONLINEAR DYNAMICS (2021)

添加到收藏夹

Article Engineering, Mechanical

Nonlinear vibration localisation in a symmetric system of two coupled beams

Filipe Fontanela et al.

Summary: The study demonstrates nonlinear vibration localization in a system of two symmetric weakly coupled nonlinear oscillators, with bifurcations to localized solutions in a two degree-of-freedom model with piecewise linear stiffness. Experimental investigation using two weakly coupled beams against stoppers for large vibration amplitudes confirms the nonlinear localization.

NONLINEAR DYNAMICS (2021)

添加到收藏夹

Article Acoustics

Phase resonance nonlinear modes of mechanical systems

Martin Volvert et al.

Summary: This study focuses on the phase resonance of nonlinear mechanical systems subjected to single-point, single-harmonic excitation. The main contribution is to develop a computational framework which can predict the mode shapes and oscillation frequencies at phase resonance. The resulting nonlinear modes are termed phase resonance nonlinear modes (PRNMs) and accurately characterize superharmonic, subharmonic, and ultrasubharmonic resonances.

JOURNAL OF SOUND AND VIBRATION (2021)

添加到收藏夹

Article Acoustics

The harmonic balance method with arc-length continuation in blade-tip/casing contact problems

Y. Colaitis et al.

Summary: This article introduces a numerical strategy based on the Harmonic Balance Method to characterize the dynamics of a compressor blade when structural contacts occur with the surrounding casing. The proposed methodology shows accuracy in predicting displacements, contact forces, velocities, and stress fields within the blade compared to a time integration-based reference numerical strategy. Additionally, the methodology is able to capture the exact location of the blade's nonlinear resonance, which the reference time integration-based numerical strategy cannot achieve.

JOURNAL OF SOUND AND VIBRATION (2021)

添加到收藏夹

Article Mechanics

Backbone curves, Neimark-Sacker boundaries and appearance of quasi-periodicity in nonlinear oscillators: application to 1:2 internal resonance and frequency combs in MEMS

Giorgio Gobat et al.

Summary: This work investigates the appearance of Neimark-Sacker bifurcations in a system of two coupled oscillators, analyzing the locus of Neimark-Sacker points and the behavior of solution families. The results show that variations in detuning affect the evolution of solution families, leading to the appearance of isolated solutions.

MECCANICA (2021)

添加到收藏夹

Article Engineering, Mechanical

Comparison of different methodologies for the computation of damped nonlinear normal modes and resonance prediction of systems with non-conservative nonlinearities

Yekai Sun et al.

Summary: The article discusses the issues of damped nonlinear normal modes (dNNMs) in non-conservative nonlinear systems and introduces two concepts, complex nonlinear mode (CNM) and extended periodic motion concept (EPMC), along with their advantages and limitations. It also explores two emerging techniques for predicting resonant solutions using dNNMs: extended energy balance method (E-EBM) and nonlinear modal synthesis (NMS).

NONLINEAR DYNAMICS (2021)

添加到收藏夹

Article Engineering, Mechanical

Global detection of detached periodic solution branches of friction-damped mechanical systems

Torsten Heinze et al.

NONLINEAR DYNAMICS (2020)

添加到收藏夹

Article Multidisciplinary Sciences

How do conservative backbone curves perturb into forced responses? A Melnikov function analysis

Mattia Cenedese et al.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2020)

添加到收藏夹

Article Mathematics, Applied

Stability of forced-damped response in mechanical systems from a Melnikov analysis

Mattia Cenedese et al.

CHAOS (2020)

添加到收藏夹

Article Engineering, Mechanical

A Method for Parametric Analysis of Stability Boundaries for Nonlinear Periodic Vibrations of Structures With Contact Interfaces

E. P. Petrov

JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER-TRANSACTIONS OF THE ASME (2019)

添加到收藏夹

Article Engineering, Mechanical

Nonsmooth Thermoelastic Simulations of Blade-Casing Contact Interactions

Anders Thorin et al.

JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER-TRANSACTIONS OF THE ASME (2019)

添加到收藏夹

Article Engineering, Mechanical

Period doubling bifurcation analysis and isolated sub-harmonic resonances in an oscillator with asymmetric clearances

Roberto Alcorta et al.

NONLINEAR DYNAMICS (2019)

添加到收藏夹

Article Acoustics

Blade/casing rubbing interactions in aircraft engines: Numerical benchmark and design guidelines based on NASA rotor 37

Elsa Piollet et al.

JOURNAL OF SOUND AND VIBRATION (2019)

添加到收藏夹

Article Multidisciplinary Sciences

Experimental study of isolas in nonlinear systems featuring modal interactions

Thibaut Detroux et al.

PLOS ONE (2018)

添加到收藏夹

Article Acoustics

Non-linear modal analysis of structural components subjected to unilateral constraints

M. Attar et al.

JOURNAL OF SOUND AND VIBRATION (2017)

添加到收藏夹

Article Engineering, Mechanical

A nonlinear component mode synthesis method for the computation of steady-state vibrations in non-conservative systems

Colas Joannin et al.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2017)

添加到收藏夹

Article Mathematics, Applied

Nonsmooth Modal Analysis of Piecewise-Linear Impact Oscillators

Anders Thorin et al.

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2017)

添加到收藏夹

Article Engineering, Aerospace

The effect of sweep on flowfields of a highly loaded transonic rotor

Weiwei Cui et al.

AEROSPACE SCIENCE AND TECHNOLOGY (2016)

添加到收藏夹

Article Computer Science, Interdisciplinary Applications

An efficient method for approximating resonance curves of weakly-damped nonlinear mechanical systems

Alwin Foerster et al.

COMPUTERS & STRUCTURES (2016)

添加到收藏夹

Article Engineering, Mechanical

Analysis of Bifurcations in Multiharmonic Analysis of Nonlinear Forced Vibrations of Gas Turbine Engine Structures With Friction and Gaps

E. P. Petrov

JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER-TRANSACTIONS OF THE ASME (2016)

添加到收藏夹

Article Acoustics

An analytical approach for detecting isolated periodic solution branches in weakly nonlinear structures

T. L. Hill et al.

JOURNAL OF SOUND AND VIBRATION (2016)

添加到收藏夹

Article Acoustics

Numerical computation of nonlinear normal modes in mechanical engineering

L. Renson et al.

JOURNAL OF SOUND AND VIBRATION (2016)

添加到收藏夹

Article Engineering, Mechanical

Continuation techniques for analysis of whole aeroengine dynamics with imperfect bifurcations and isolated solutions

Loic Salles et al.

NONLINEAR DYNAMICS (2016)

添加到收藏夹

Article Multidisciplinary Sciences

Internal Resonance in a Vibrating Beam: A Zoo of Nonlinear Resonance Peaks

Franco Mangussi et al.

PLOS ONE (2016)

添加到收藏夹

Article Acoustics

Numerical Tracking of Limit Points for Direct Parametric Analysis in Nonlinear Rotordynamics

Lihan Xie et al.

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME (2016)

添加到收藏夹

Article Engineering, Multidisciplinary

The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems

T. Detroux et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2015)

添加到收藏夹

Article Computer Science, Interdisciplinary Applications

Nonlinear modal analysis of nonconservative systems: Extension of the periodic motion concept

Malte Krack

COMPUTERS & STRUCTURES (2015)

添加到收藏夹

Article Acoustics

Interpreting the forced responses of a two-degree-of-freedom nonlinear oscillator using backbone curves

T. L. Hill et al.

JOURNAL OF SOUND AND VIBRATION (2015)

添加到收藏夹

Article Acoustics

Nonlinear normal modes, modal interactions and isolated resonance curves

R. J. Kuether et al.

JOURNAL OF SOUND AND VIBRATION (2015)

添加到收藏夹

Article Engineering, Mechanical

Computing multiple periodic solutions of nonlinear vibration problems using the harmonic balance method and Groebner bases

Aurelien Grolet et al.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2015)

添加到收藏夹

Article Engineering, Mechanical

Quasi-periodic harmonic balance method for rubbing self-induced vibrations in rotor-stator dynamics

Loic Peletan et al.

NONLINEAR DYNAMICS (2014)

添加到收藏夹

Article Acoustics

A method for nonlinear modal analysis and synthesis: Application to harmonically forced and self-excited mechanical systems

Malte Krack et al.

JOURNAL OF SOUND AND VIBRATION (2013)

添加到收藏夹

Article Acoustics

A high-order, purely frequency based harmonic balance formulation for continuation of periodic solutions: The case of non-polynomial nonlinearities

Sami Karkar et al.

JOURNAL OF SOUND AND VIBRATION (2013)

添加到收藏夹

Article Engineering, Mechanical

Numerical-Experimental Comparison in the Simulation of Rotor/Stator Interaction Through Blade-Tip/Abradable Coating Contact

Alain Batailly et al.

JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER-TRANSACTIONS OF THE ASME (2012)

添加到收藏夹

Article Acoustics

Free and forced vibration analysis of a nonlinear system with cyclic symmetry: Application to a simplified model

Aurelien Grolet et al.

JOURNAL OF SOUND AND VIBRATION (2012)

添加到收藏夹

Article Mechanics

Global and bifurcation analysis of a structure with cyclic symmetry

E. Sarrouy et al.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2011)

添加到收藏夹

Article Engineering, Aerospace

Modal Analysis of a Nonlinear Periodic Structure with Cyclic Symmetry

F. Georgiades et al.

AIAA JOURNAL (2009)

添加到收藏夹

Article Acoustics

Complex non-linear modal analysis for mechanical systems: Application to turbomachinery bladings with friction interfaces

Denis Laxalde et al.

JOURNAL OF SOUND AND VIBRATION (2009)

添加到收藏夹

Article Acoustics

Periodic and quasi-periodic solutions for multi-instabilities involved in brake squeal

N. Coudeyras et al.

JOURNAL OF SOUND AND VIBRATION (2009)

添加到收藏夹

Article Engineering, Mechanical

Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques

M. Peeters et al.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2009)

添加到收藏夹

Article Engineering, Mechanical

On nonlinear forced vibration of shrouded turbine blades

J. Szwedowicz et al.

JOURNAL OF TURBOMACHINERY-TRANSACTIONS OF THE ASME (2008)

添加到收藏夹

Article Engineering, Mechanical

Sub-harmonic resonance in a nearly pre-loaded mechanical oscillator

Chengwu Duan et al.

NONLINEAR DYNAMICS (2007)

添加到收藏夹

Article Energy & Fuels

Aerodynamics of swept and leaned transonic compressor-rotors

Ernesto Benini et al.

APPLIED ENERGY (2007)

添加到收藏夹

Article Engineering, Mechanical

Brake squeal: Linear and nonlinear numerical approaches

Francesco Massi et al.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2007)

添加到收藏夹

Article Engineering, Mechanical

Multiple non-smooth events in multi-degree-of-freedom vibro-impact systems

D Wagg

NONLINEAR DYNAMICS (2006)

添加到收藏夹

Article Acoustics

A dynamic Lagrangian frequency-time method for the vibration of dry-friction-damped systems

S Nacivet et al.

JOURNAL OF SOUND AND VIBRATION (2003)

添加到收藏夹

Article Acoustics

Harmonic balance/Galerkin method for non-smooth dynamic systems

WJ Kim et al.

JOURNAL OF SOUND AND VIBRATION (2003)

添加到收藏夹

Article Mathematics, Applied

A numerical scheme for impact problems I: The one-dimensional case

L Paoli et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2002)

添加到收藏夹

Article Acoustics

The harmonic balance method with arc-length continuation in rotor/stator contact problems

G von Groll et al.

JOURNAL OF SOUND AND VIBRATION (2001)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.