71 citations · 83 across the 11 of their papers we have counts for
12 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…
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…
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…
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…
Asymmetric VI-NES with dry friction: An impact map approach
Balkis Youssef, A. Yassine Karoui, Remco I. Leine
This paper examines the dynamics of a vibro-impact nonlinear energy sink (VI-NES) using a generalized impact map approach. The study incorporates asymmetry and dry friction, reflec…
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…
Extended invariant cones as Nonlinear Normal Modes of inhomogeneous piecewise linear systems
A. Yassine Karoui, Remco I. Leine
The aim of this paper is to explore the relationship between invariant cones and nonlinear normal modes in piecewise linear mechanical systems. As a key result, we extend the invar…
Singularly perturbed dynamics of the tippedisk
Simon Sailer, Remco I. Leine
The tippedisk is a mathematical-mechanical archetype for a peculiar friction-induced instability phenomenon leading to the inversion of an unbalanced spinning disk, being reminisce…
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…
Continuum Model for Pressure Actuated Cellular Structures
Markus Pagitz, Remco I. Leine
Previous work introduced a lower-dimensional numerical model for the geometric nonlinear simulation and optimization of compliant pressure actuated cellular structures. This model…
Shape Optimization of Compliant Pressure Actuated Cellular Structures
Markus Pagitz, Remco I. Leine
Biologically inspired pressure actuated cellular structures can alter their shape through pressure variations. Previous work introduced a computational framework for pressure actua…