7 papers
A Mixed Discrete Cosserat Rod Formulation
Tianxiang Dai, Marco Herrmann, Jonas Breuling +2
In this communication we propose a discrete Cosserat rod formulation in which a slender elastic rod is represented as a chain of rigid bodies (nodes) coupled by compliant elastic f…
Koopman-based stability analysis of differential-algebraic equations with applications to frictional multibody systems
Alexander Schütz, Fabia Bayer, Remco I. Leine
Periodic solutions of differential-algebraic equations (DAEs) and ordinary differential equations (ODEs) can be determined using the harmonic balance method (HBM), which is a frequ…
Hill-Type Stability Analysis of Periodic Solutions of Fractional-Order Differential Equations
Paul-Erik Haacker, Remco I. Leine, Renu Chaudhary +3
This paper explores stability properties of periodic solutions of (nonlinear) fractional-order differential equations (FODEs). As classical Caputo-type FODEs do not admit exactly p…
Model order reduction of piecewise linear mechanical systems using invariant cones
A. Yassine Karoui, Remco I. Leine
We present a methodology that extends invariant manifold theory to a class of autonomous piecewise linear systems with nonsmoothness at the equilibrium, providing a framework for m…
The effect of friction on the dynamics of targeted energy transfer by symmetric vibro-impact dampers
Balkis Youssef, A. Yassine Karoui, Remco I. Leine
This study investigates the nonlinear dynamics of a symmetric vibro-impact nonlinear energy sink (VI-NES) subjected to dry friction, a crucial factor that remains insufficiently ex…
Explicit error bounds and guaranteed convergence of the Koopman-Hill projection stability method for linear time-periodic dynamics
Fabia Bayer, Remco I. Leine
The Koopman-Hill projection method offers an efficient approach for stability analysis of linear time-periodic systems, and thereby also for the Floquet stability analysis of perio…