Abstracts Overview

We consider asymptotic behavior of integro-differential equations with periodic nonlinearities, featured by infinite sequences of equilibria. Such systems are also referred to as ``synchronization systems'' in view of numerous applications to dynamics of control circuits such as phase-locked, freque...

The stabilization problem for a nonlinear Ordinary Differential Equation (ODE) coupled with a system of hyperbolic Partial Differential Equations (PDEs) in the actuating path is investigated. Herein, a general prediction-based control law is proposed. It is mathematically proved that the proposed co...

Modern computers are powerful devices that have given impetus to our abilities to make discoveries in many fields of science and technology. With their ubiquitous use, the amount of energy they consume is on the rise. Current electronic computers consume energies that are orders of magnitude higher ...

This work presents a geometry preserving weak symplectic stochastic integrator for long-time simulation of Hamiltonian systems on S^2 manifold. The proposed algorithm preserves the energy of the system accurately for long-time integration of the system using a multiple time stepping strategy. For th...

Partial replacement of contact wires using splice fittings (splicer) is a cost-saving and labor-reducing technique desired in high-speed railways. However, concerns have arisen due to accidents, such as contact wire breakages at the splicer position. To address this issue, it is necessary to underst...

Identifying the nonlinear normal modes (NNMs) of a double, triple and quadruple pendulum, we found that all NNMs approach homoclinic orbits through the unstable upright equilibrium. The NNMs are computed by numerical continuation of conservative orbits initialized at small-amplitude linear modes aro...

In this paper, the dynamics of pipes conveying pulsating fluid are investigated. The fluid flow velocity inside the simply supported pipe is assumed to be small and varying harmonically with a frequency Ω. The linear equations of motion are examined using multiple time-scales perturbation methods. ...

The Hyperloop, a developing transportation system, reduces air resistance by housing the vehicle within a depressurized tube and eliminates contact friction through an electro-magnetic suspension/levitation system. Maintaining system stability poses a challenge due to the exceptionally high target v...

The vibro-impact capsule robot, which experiences vibrations, frictions, and impacts, is known as a non-smooth dynamical system. It exhibits a rich variety of different long-term behaviours that coexist for a given set of parameters, referred to as multistability or coexisting attractors. When the c...

The system of two elastically coupled pendulums in a magnetic field is considered when the inertial characteristics of the pendulums differ significantly. In this case, both coupled and localized nonlinear normal modes (NNMs) can be observed. Such modes are constructed by the multiple scales method....

Chaotic systems are a class of systems with high sensitivity to initial conditions. Stabilization of periodic solutions is an important problem in the study and exploitation of such systems. While this problem is widely addressed in the literature, existing methods assume the system model to be know...

This paper examines the design and mathematical modeling of a MEMS sensor leveraging a mode localization based phenomenon. The design suggests a sensitive electrostatically excited clamped-clamped shallow arch micro-beam with an initial curvature designed to replicate one of the three first bending ...

The effects of noisy fluctuations in an orthogonal metal cutting model with regenerative and frictional effects of a turning operation are examined. Dynamical investigations on the tool have been carried out by considering various bifurcation parameters such as depth of cut, rake angle, flank angle,...

In the present contribution, the suppression of parametric resonances of mechanical systems by introducing impulsive force excitation is investigated. It is shown that with the proposed approach, impulsive actuation is capable of stabilizing mechanical systems which are parametrically excited at pri...

This talk discusses the synchronization problem in time-varying networks of nonlinear QUAD systems. In particular, we attempt to derive a sufficient condition for synchronization without using information about the possible network structures in a case where at least one system is directly connected...

Pseudo-velocity shock response spectra (PVSRS) are a standard method for predicting the response of naval shock mounts to shock loading. As mounts become more complex and performance requirements drive designs to take advantage of increasingly exotic structural and material properties, PVSRS analysi...

Synchronized oscillators are ubiquitous in nature and engineering. Synchronization is typically studied via a simplified model valid only in the weak coupling limit. Here, we report the first theoretical modeling and experimental observation of a synchronized pair of non-weakly coupled aeroelastic o...

The goal of this work is to extend the developed by the authors of this study a theoretical model of the vibration of bi-material beams subjected the combined action of mechanical and thermal loads. The geometrically nonlinear version of the Timoshenko beam theory is used to describe the theoretical...

Time-delayed feedback (TDF) control methods have proven to be robust and versatile for nonlinear dynamical systems. Their abilities to take advantage of the system behaviour without the need of a calibrated model is particularly attractive. Most recently, the TDF control method has been expanded to ...

This study discusses the stochastic behaviour of vibroimpact oscillators featuring dielectric elastomer membranes designed for vibration energy harvesting. In these devices, a ball moves freely within a forced cylindrical capsule, intermittently colliding with both ends, covered with dielectric memb...

We introduce a numerical analysis framework for controlling isolated response curves (isolas), i.e., curves that form closed loops and are not connected to the main branch of solutions. The methodology relies on bifurcation tracking analyses to monitor the evolution of node-collocation bifurcations ...

Linear and geometrically nonlinear vibrations of functionally graded sandwich porous shallow shells and plates are studied using the R-functions theory and methods by Ritz, Bubnov-Galerkin and Runge-Kutta. The first order shear deformation theory (FSDT) is applied to construct mathematical model. Th...

The paper addresses the supratransmission (ST), i.e., emergence of the propagating waves in a nonlinear chain forced in the attenuation zone of the linear substructure. In the considered model, the nonlinearity is realized through impacts of particles in a linear chain with on-site constraints. This...

The paper delves into the stochastic dynamics of a nonlinear two-degree-of-freedom system coupled with a nonlinear energy sink (NES). Under random excitation on the primary mass, the primary objective is to maximise targeted energy transfer efficiency, investigating the impact of various nonlinear d...

In this work an exact expression is derived for the fold (jump-down) point of the main harmonics of frequency response curve on the model of harmonically excited single degree of freedom viscose damped Duffing oscillator. The derivation is made based on the Poincare expansion method. In its leading ...

In this work, the dynamics of an electromagnetically suspended mass, which is very simple representation of the Hyperloop system, is studied. Linear stability analysis of the 1.5 degree-of-freedom system yields three distinct regions for the physically meaningful equilibrium point, one of which exhi...

We develop a geometrically exact theory for an elastic rod constrained to deform, under the action of end loads, on the surface of a torus. The theory is used to model the twist-bend instability of toroidal DNA condensates.

We study the mammalian whisker-object contact problem by applying the Kirchhoff rod theory. We analyse equilibria of a thin intrinsically curved elastic rod clamped at one end and touching a flat rigid wall, which is arbitrarily positioned and oriented in space. We distinguish four qualitatively dif...