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

T Detroux, L Renson, L Masset, G Kerschen - Computer Methods in …, 2015 - Elsevier
The harmonic balance (HB) method is widely used in the literature for analyzing the periodic
solutions of nonlinear mechanical systems. The objective of this paper is to exploit the …

Dynamic modeling and projection-based reduction methods for bladed disks with nonlinear frictional and intermittent contact interfaces

M Mitra, BI Epureanu - Applied Mechanics Reviews, 2019 - asmedigitalcollection.asme.org
Turbine bladed disks or blisks, which constitute critical components of most modern
turbomachinery, are known for their complex vibratory behavior. The nonlinear dynamics …

Nonlinear stochastic dynamics of detuned bladed-disks with uncertain mistuning and detuning optimization using a probabilistic machine learning tool

E Capiez-Lernout, C Soize - International Journal of Non-Linear Mechanics, 2022 - Elsevier
The paper deals with the nonlinear stochastic dynamics concerning the detuning
optimization in presence of random mistuning of bladed-disks with geometrical …

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

M Krack, L Panning-von Scheidt… - Journal of Sound and …, 2013 - Elsevier
The recently developed generalized Fourier–Galerkin method is complemented by a
numerical continuation with respect to the kinetic energy, which extends the framework to …

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

J Yuan, Y Sun, C Schwingshackl, L Salles - Mechanical Systems and …, 2022 - Elsevier
The concept of nonlinear modes has been proved useful to interpret a wide class of
nonlinear phenomena in mechanical systems such as energy dependent vibrations and …

Vibration mitigation of a nonlinear rotor system with linear and nonlinear vibration absorbers

J Taghipour, M Dardel, MH Pashaei - Mechanism and Machine Theory, 2018 - Elsevier
Steady state dynamics of a horizontally supported Jeffcott rotor system under nonlinear
restoring forces has been studied in this work. Vibration reduction of the rotor system using …

Design of dry friction and piezoelectric hybrid ring dampers for integrally bladed disks based on complex nonlinear modes

YG Wu, L Li, Y Fan, S Zucca, C Gastaldi, HY Ma - Computers & Structures, 2020 - Elsevier
This paper investigates a new passive damper coupling the energy dissipative mechanisms
of dry friction and piezoelectric shunting circuit for Integrally Bladed Disks (blisks). The idea …

Challenging an experimental nonlinear modal analysis method with a new strongly friction-damped structure

M Scheel, T Weigele, M Krack - Journal of Sound and Vibration, 2020 - Elsevier
In this work, we show that a recently proposed method for experimental nonlinear modal
analysis based on the extended periodic motion concept is well suited to extract modal …

Reliability optimization of friction-damped systems using nonlinear modes

M Krack, S Tatzko, L Panning-von Scheidt… - Journal of Sound and …, 2014 - Elsevier
A novel probabilistic approach for the design of mechanical structures with friction interfaces
is proposed. The objective function is defined as the probability that a specified performance …

A novel modal superposition method with response dependent nonlinear modes for periodic vibration analysis of large MDOF nonlinear systems

E Ferhatoglu, E Cigeroglu, HN Özgüven - Mechanical Systems and Signal …, 2020 - Elsevier
Abstract Design of complex mechanical structures requires to predict nonlinearities that
affect the dynamic behavior considerably. However, finding the forced response of nonlinear …