158 citations · 607 across the 14 of their papers we have counts for
14 papers
Development of a Fully-Coupled Harmonic Balance Method and a Refined Energy Method for the Computation of Flutter-Induced Limit Cycle Oscillations of Bladed Disks with Nonlinear Friction Contacts
Christian Berthold, Johann Gross, Christian Frey +1
Flutter stability is a dominant design constraint of modern gas and steam turbines. To further increase the feasible design space, flutter-tolerant designs are currently explored,…
Toward understanding the self-adaptive dynamics of a harmonically forced beam with a sliding mass
Malte Krack, Noha Aboulfotoh, Jens Twiefel +3
A mechanical system consisting of an elastic beam under harmonic excitation and an attached sliding body is investigated. Recent experimental observations suggest that the system p…
Global complexity effects due to local damping in a nonlinear system in 1:3 internal resonance
Malte Krack, Lawrence A. Bergman, Alexander F. Vakakis
It is well-known that nonlinearity may lead to localization effects and coupling of internally resonant modes. However, research focused primarily on conservative systems commonly…
On the Efficacy of Friction Damping in the Presence of Nonlinear Modal Interactions
Malte Krack, Lawrence A. Bergman, Alexander F. Vakakis
This work addresses friction-induced modal interactions in jointed structures, and their effects on the passive mitigation of vibrations by means of friction damping. Under the con…
A High-Order Harmonic Balance Method for Systems With Distinct States
Malte Krack, Lars Panning-von Scheidt, Jörg Wallaschek
A pure frequency domain method for the computation of periodic solutions of nonlinear ordinary differential equations (ODEs) is proposed in this study. The method is particularly s…
A method for nonlinear modal analysis and synthesis: Application to harmonically forced and self-excited mechanical systems
Malte Krack, Lars Panning-von Scheidt, Jörg Wallaschek
The recently developed generalized Fourier-Galerkin method is complemented by a numerical continuation with respect to the kinetic energy, which extends the framework to the invest…