Abstracts Overview

The quasipotential serves as a natural extension of the potential function in nongradient systems, and it enables predicting the maximum likelihood transition paths, transition rates and expected exit times of metastable dynamical states. In this work, the combination of a neural network and a spars...

This article studies a hybrid nonlinear vibration absorber. It consists of a passive part (a Nonlinear Energy Sink) and an active part (electromagnetic transducer). This work aims to tune the internal properties of the NES in real time, such that the activation threshold and effective energy pumping...

This work introduces the application of the Direct Parametrisation method for Invariant Manifolds to a fully coupled multiphysics problem involving nonlinear vibrations of deformable structures under an electrostatic field. The proposed formulation aims at model order reduction for electrostatically...

This study investigates linear and geometrically nonlinear vibrations of the sandwich plate with auxetic honeycomb core and functionally graded material (FGM) face sheets. The first order shear deformation theory (FSDT) is applied to construct mathematical model. The R-functions theory, variational ...

Active vibration control of rotating structures can be a challenging task due to the nonlinearities induced by rotation \textit{i.e} modal frequency shifts or damping variations. In addition, cyclic boundary conditions like a permanent contact of the rotor with a stator element at a particular angle...

In the face of the growing relevance of Unmanned Aerial Vehicle (UAV) applications, especially quadcopter drones, this paper presents the application of the State-Dependent Riccati Equation (SDRE) nonlinear optimal control technique for attitude control of a quadcopter in aggressive trajectories. In...

A well-established approach for analyzing the stability of delayed differential equations (DDE) is the semi-discretisation method, which approximates the monodromy operator and the characteristic multipliers through linear mapping. While powerful, it can be computationally expensive and hard to impl...

The alternating frequency-time harmonic balance method (AFT-HBM) is proposed to solve a nonlinear, coupled fluid-structure problem. The method is explained, and its capabilities are demonstrated for specific system parameters. Excellent agreement between the AFT-HBM and direct numerical integration ...

We study theoretically the mechanisms of square-wave (SW) formation in vertical external-cavity Kerr-Gires-Tournois interferometers in presence of anti-resonant injection. We provide simple analytical approximations for their plateau intensities and for the conditions of their emergence. We demonstr...

To calculate the exact basin of attraction of a solution is a challenging task. For this very reason, various estimates are defined in the literature to gain an understanding on the dynamical robustness of a solution of a nonlinear system. Computing dynamical integrity measures efficiently is non-tr...

The Gaussian process latent force model (GPLFM) has been shown to be an effective and practical method for a number of tasks within dynamics, for example, joint estimation of inputs and states or, more recently, in the recovery of nonlinear restoring forces for system identification. One possible li...

We present a data-driven, non-intrusive framework with embedded uncertainty quantification to build interpretable reduced-order models (ROMs) using variational autoencoders and variational identification of nonlinear dynamics.

The resonant behavior of two systems with a limited power supply (or so-called non-ideal systems) having three degrees of freedom is analyzed. Resonant steady states are constructed by the multiple scales method. The transient is presented using the two-point Padé approximants containing exponentia...

This study concerns the effect of uncertain tooth profile modifications on the primary resonance of a spur gear pair induced by the backlash nonlinearity. It should be noted that these corrections are micro geometric within tolerances. This primary resonance can exhibit dynamic responses with vibro-...

While safety is often critical for nonlinear systems, guaranteeing safety should not hinder their performance drastically. Various approaches have been considered in the literature to achieve both safety and performance for nonlinear systems by means of control, and the use of safety filters has bee...

When designing a bridge subjected to seismic loading, the ductility capacity of the elements that are expected to enter the inelastic range must be defined. To achieve this, the engineer consults design recommendations or codes, but many times these recommendations vary from code to code or are insu...

Extending a previous analysis of the Hopf bifurcation at infinity in symmetric piecewise linear differential systems with three zones, which is responsible for the appearance of a large amplitude limit cycle, in this work we analyze the degeneration of such a bifurcation at infinity, providing a the...

This paper aims to examine the feasibility of using the static condensation approach to derive an integral equation commonly used in literature to describe the nonlinear dynamics of initially curved beams, similar to rectilinear beams. The focus is on establishing a solid theoretical foundation for ...

Nonlinear systems exhibit a wide variety of resonances of a primary or non-primary type. Among the latter, some can appear as isolated branches of solutions, making them difficult to obtain with traditional numerical and experimental approaches. In this work, we propose to leverage multiharmonic for...

As one of the most crucial components in control loops, pneumatic control valves ensure product quality and personnel safety. During prolonged operation of valves, nonlinear motion caused by valve stiction often leads to oscillations in control loops. Therefore, it is crucial to analyze the valve no...

In this paper, an initial-boundary value problem for a semi-infinite string is considered. A tuned-mass-damper (TMD) system is attached at one end of the string. The spring in the system is considered to be non-linear. We study the boundary reflection of waves and damping properties. The well-known ...

The authors have previously introduced a novel gradient elasticity model for seismic wave predictions. The said model combines (i) the higher-order gradient terms that capture the influence of small-scale soil heterogeneity and/or microstructure and (ii) the nonlinear softening soil behaviour throug...

Invariant solutions to the Navier-Stokes equations, known as Exact Coherent Structures (ECSs), are known to represent important physical mechanisms of turbulent flows. Recently a variational optimisation approach based on gradient descent was proposed as a robust numerical method for finding these s...

This study introduces a damping control scheme for the mitigation of the rotation of a cylinder through electromagnetic interaction between two magnets. Leveraging the nonlinear dynamics of the interaction, the results showcase effective control performance and efficiency. Consequently, the proposed...

Micro- and nanoelectromechanical systems (MEMS and NEMS) can exhibit rich nonlinear dynamics. Therefore, they have been studied extensively over the last decades in various areas of academic research ranging from engineering over physics to fundamental mathematics. In addition to its intriguing fund...

We discuss analogies between first-order optimization algorithms and smooth/non-smooth dynamical systems. These analogies are not only used to understand the phenomenon of acceleration in both convex and nonconvex settings, but allow us to derive a new class of algorithms for constrained optimizatio...

The nonlinear dynamics of electric scooters is investigated using a spatial mechanical model. The nonlinear governing equations are derived with the help of Kane's method. A hierarchical, linear state feedback controller with two feedback delays is designed in order to balance the e-scooter in a ver...