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

96 citations · 259 across the 5 of their papers we have counts for

collaborators

5 papers

nlin.AO202024 cited

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…

math.NA202048 cited

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…

math.NA202096 cited

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…

cs.CE202039 cited

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…

cs.CE202052 cited

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…