158 citations · 779 across the 31 of their papers we have counts for
32 papers
AFT Neural Function Approximators for 1D Nonlinear Force Laws
Miriam Goldack, Johann Groß, Malte Krack +1
Nonlinear contacts and friction strongly influence the vibration response of assembled structures, but their accurate numerical treatment is computationally demanding. The harmonic…
Enabling topography-resolving structural dynamic contact simulation
Hendrik D. Linder, David A. Najera-Flores, Robert J. Kuether +1
Damping of structures and systems is often dominated by frictional dissipation in connections, the prediction of which remains a longstanding scientific challenge. Previous studies…
A sub-structuring approach for model reduction of frictionally clamped thin-walled structures
Patrick Hippold, Johann Gross, Malte Krack
Thin-walled structures clamped by friction joints, such as aircraft skin panels are exposed to bending-stretching coupling and frictional contact. We propose an original sub-struct…
The Black Metal Tribometer: high-resolution measurement of normal load-indentation curves and partial slip hysteresis cycles
Daniel Fochler, Stefan Schwarz, Lukas Kohlmann +1
A new instrument has been designed for measuring frictional hysteresis cycles and normal load-indentation curves. The primary purpose of the BMT is the validation of more predictiv…
A coupled FE-BE multi-scale method for the dynamics of jointed structures
Hendrik D. Linder, Johann Gross, Malte Krack
The damping of built-up structures stems largely from the microscopic dry frictional interactions in the contact interfaces. The accurate prediction of friction damping has been an…
An iteration-free approach to excitation harmonization
Patrick Hippold, Gleb Kleyman, Lukas Woiwode +6
Sinusoidal excitation is particularly popular for testing structures in the nonlinear regime. Due to the nonlinear behavior and the inevitable feedback of the structure on the exci…
Experimental analysis of the TRC benchmark system
Arati Bhattu, Svenja Hermann, Nidhal Jamia +5
The Tribomechadynamics Research Challenge (TRC) was a blind prediction of the vibration behavior of a thin plate clamped on two sides using bolted joints. The first bending mode's…
On the locomotion of the slider within a self-adaptive beam-slider system
Florian Müller, Malte Krack
A beam-slider system is considered whose passive self-adaption relies on an intricate locomotion process involving both frictional and unilateral contact. The system also exploits…
Robust and fast backbone tracking via phase-locked loops
Patrick Hippold, Maren Scheel, Ludovic Renson +1
Phase-locked loops are commonly used for shaker-based backbone tracking of nonlinear structures. The state of the art is to tune the control parameters by trial and error. In the p…
Fully Coupled Forced Response Analysis of Nonlinear Turbine Blade Vibrations in the Frequency Domain
Christian Berthold, Johann Gross, Christian Frey +1
For the first time, a fully-coupled Harmonic Balance method is developed for the forced response of turbomachinery blades. The method is applied to a state-of-the-art model of a tu…
Are Chebyshev-based stability analysis and Urabe's error bound useful features for Harmonic Balance?
Lukas Woiwode, Malte Krack
Harmonic Balance is one of the most popular methods for computing periodic solutions of nonlinear dynamical systems. In this work, we address two of its major shortcomings: First,…
Experimental validation of a model for a self-adaptive beam-slider system
Florian Müller, Maximilian Beck, Malte Krack
A system consisting of a doubly clamped beam with an attached body (slider) free to move along the beam has been studied recently by multiple research groups. Under harmonic base e…
Computational and experimental analysis of the impact of a sphere on a beam and the resulting modal energy distribution
Felix Gehr, Timo Theurich, Carlo Monjaraz-Tec +4
We consider the common problem setting of an elastic sphere impacting on a flexible beam. In contrast to previous studies, we analyze the modal energy distribution induced by the i…
Prediction and validation of the strongly modulated forced response of two beams undergoing frictional impacts
Carlo Monjaraz-Tec, Lukas Kohlmann, Stefan Schwarz +3
We consider two cantilevered beams undergoing frictional impacts at the free end. The beams are designed to be of similar geometry so that they have distinct but close natural freq…
Nonlinear damping quantification from phase-resonant tests under base excitation
Florien Müller, Lukas Woiwode, Johann Gross +2
The present work addresses the experimental identification of amplitude-dependent modal parameters (modal frequency, damping ratio, Fourier coefficients of periodic modal oscillati…
A massless boundary component mode synthesis method for elastodynamic contact problems
Carlo Monjaraz-Tec, Johann Gross, Malte Krack
We propose to combine the ideas of mass redistribution and component mode synthesis. More specifically, we employ the MacNeal method, which readily leads to a singular mass matrix,…
Predictive design of impact absorbers for mitigating resonances of flexible structures using a semi-analytical approach
Timo Theurich, Alexander F. Vakakis, Malte Krack
Analytical conditions are available for the optimum design of impact absorbers for the case where the host structure is well described as rigid body. Accordingly, the analysis reli…
Extension of the single-nonlinear-mode theory by linear attachments and application to exciter-structure interaction
Malte Krack
Under certain conditions, the dynamics of a nonlinear mechanical system can be represented by a single nonlinear modal oscillator. The properties of the modal oscillator can be det…
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…