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.AO2020★ 24 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.NA2020★ 48 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.NA2020★ 96 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.CE2020★ 39 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.CE2020★ 52 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…