158 citations · 779 across the 31 of their papers we have counts for
13 papers · 1 filter
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…
Nonlinear modal analysis of nonconservative systems: Extension of the periodic motion concept
Malte Krack
As the motions of nonconservative autonomous systems are typically not periodic, the definition of nonlinear modes as periodic motions cannot be applied in the classical sense. In…
On the computation of the slow dynamics of nonlinear modes of mechanical systems
Malte Krack, Lars Panning-von Scheidt, Jörg Wallaschek
A novel method for the numerical prediction of the slowly varying dynamics of nonlinear mechanical systems has been developed. The method is restricted to the regime of an isolated…
Reliability optimization of friction-damped systems using nonlinear modes
Malte Krack, Sebastian Tatzko, Lars Panning-von Scheidt +1
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 p…
An efficient method for approximating resonance curves of weakly-damped nonlinear mechanical systems
Alwin Förster, Malte Krack
A method is presented for tracing the locus of a specific peak in the frequency response under variation of a parameter. It is applicable to periodic, steady-state vibrations of ha…
Challenging an experimental nonlinear modal analysis method with a new strongly friction-damped structure
Maren Scheel, Tobias Weigele, Malte Krack
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 proper…
Experimental assessment of polynomial nonlinear state-space and nonlinear-mode models for near-resonant vibrations
Maren Scheel, Gleb Kleyman, Ali Tatar +5
In the present paper, two existing nonlinear system identification methodologies are used to identify data-driven models. The first methodology focuses on identifying the system us…
A Phase Resonance Approach for Modal Testing of Structures with Nonlinear Dissipation
Maren Scheel, Simon Peter, Remco I. Leine +1
The concept of nonlinear modes is useful for the dynamical characterization of nonlinear mechanical systems. While efficient and broadly applicable methods are now available for th…
Effects of modal energy scattering and friction on the resonance mitigation with an impact absorber
Timo Theurich, Johann Gross, Malte Krack
A linear vibration absorber can be tuned to effectively suppress the resonance of a particular vibration mode. It relies on the targeted energy transfer into the absorber within a…