The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems
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 …
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 …
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 …
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 …
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
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 …
nonlinear phenomena in mechanical systems such as energy dependent vibrations and …
Vibration mitigation of a nonlinear rotor system with linear and nonlinear vibration absorbers
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 …
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
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 …
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 …
analysis based on the extended periodic motion concept is well suited to extract modal …
Reliability optimization of friction-damped systems using nonlinear modes
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 …
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
Abstract Design of complex mechanical structures requires to predict nonlinearities that
affect the dynamic behavior considerably. However, finding the forced response of nonlinear …
affect the dynamic behavior considerably. However, finding the forced response of nonlinear …