Abstracts Overview

This work explores discontinuities in dynamical systems, emphasizing the pivotal concept of the switching surface, where continuity is lost. This phenomenon holds particular significance in mechanical systems, contributing to stick-slip vibrations, impact, or a combination of these phenomena. Achiev...

This research aims to investigate the dynamic behaviors of Carbon Nanotubes (CNTs) under conditions of geometric nonlinearity, taking into account size effects through the utilization of the Second Strain Gradient (SSG) elasticity theory. The study derives the dynamic equation in the nonlinear conte...

This study numerically investigates the in-line flow-induced vibration (FIV) of elastically mounted elliptical cylinders undergoing forced rotations in a free-stream flow. The two-dimensional numerical simulations were conducted at a Reynolds number of 100. The cross-sectional aspect ratio of the cy...

This work examines the instability mechanism of a two-degree-of-freedom mass-on-moving belt system. The frictional interaction between the mass and the belt is governed by the Amontons-Coulomb law and a nonlinear normal contact force represented by the Hertz-Damp model. Nonlinear numerical analysis ...

Unmanned aerial vehicles (UAVs) are gaining popularity in various industrial applications, particularly in agriculture. Monitoring their condition during flight is crucial, with special attention to the propulsion system. A failure in this system can halt the aircraft mid-flight, potentially leading...

This paper proposes the preliminary results on a new method for solving inverse dynamics in Reconfigurable Underactuated Cable-Driven Parallel Robots. Given a prescribed trajectory, imposed to a subset of the end-effector coordinates, the goal is to evaluate the motor torques that are required to pr...

This work introduces a proactive approach to addressing falls by using visual feedback of predicted future balance. The study employs a mathematical model based on an inverted pendulum model. Time series realizations demonstrate that visual feedback reduces postural sway, with trust in the technolog...

Phase resetting investigates oscillatory systems by quantifying the phase shift between a point on a stable periodic orbit and its return position following a perturbation. While this approach is applicable to numerical simulations of mathematical models, computing phase resets with high precision p...

The Hopf calculations allow us to estimate the amplitude of the limit cycle emerging close to the bifurcation point analytically. According to the Hopf theorem, the radius of the limit cycle grows as a square root function of the bifurcation parameter. Many mechanical models consider exactly third d...

This abstract marks a pivotal continuation of the research into movable bridge dynamics – a validation study. The initial lab experiments, employing a test setup to verify a novel non-linear dynamic model methodology [1] aimed at calculating dynamic torques in the driveline of movable bridge machi...

Over the past fifty years, Moore's Law has guided nanotechnology towards the miniaturization of components across all three dimensions: x, y, and z. As we near its limits in 2025, our laboratory is investigating a novel form of nanotechnology with components that extend over large distances in the x...

In this study, we investigate a Laval rotor dynamics scenario where the damping properties remain elusive. To address this challenge, we employ an artificial neural network to model the damping force, seamlessly integrating it into the governing equations of motion. Through direct time integration t...

This work aims to induce internal resonance through proportional feedback control. A two-Degrees-Of-Freedom (DOF) nonlinear oscillator consisting of two masses connected by cubic spring is considered. The first mass features a controlled force that feeds back this mass's position, equivalent to a gr...

Phononic frequency combs are typically generated in mechanical resonators through nonlinear interactions of phonon modes. However, a recent study utilized optical tweezers to produce overtone frequency combs without the need for mechanical nonlinearities. By combining overtone and modal-coupling eff...

This work explores the implementation of the intermodal targeted energy transfer (IMTET) mechanism for passive mitigation of a three-dimensional non-symmetric linear oscillator subjected to blast excitation. We consider a mechanism for redistribution of the excitation energy among the oscillatory mo...

To minimize the mismatch between a physical system and its digital twin (constituted by a model), model updating can be applied. In this work, an efficient, online model updating method is employed to update interpretable parameter values of nonlinear dynamics models. This method uses inverse mappin...

Fourier series-based method of control optimization effectively tackles the optimal control problem in non-smooth mechanical systems characterized by discontinuities from dry friction or impacts. However, the current optimization procedure employs evolutionary algorithm, which may not ensure enhance...

In the mid-high frequency range, system uncertainties that may arise from manufacture, the environment, or material properties have a far greater influence on the structural response than in the low frequency range. As a result, obtaining estimates of ensemble response statistics become severely exp...

The research is focused on the theoretical feasibility study of a microelectromechanical (MEMS) resonant accelerometer with tunable sensitivity and self-calibration abilities. The device incorporates a proof mass and a vibrating beam-type sensing element interacting with the mass through fringing el...

Missions aiming for periodic orbits around the Moon are becoming increasingly attractive, largely due to the influence of NASA's Artemis program. However, chaotic dynamics around these orbits still represents a hindrance to optimal design of such space missions. Therefore, informed mission design ne...

This study examines the non-smooth dynamics resulting from impacts between two elastic Euler-Bernoulli (EB) beams oscillating in the same plane separated by a certain constant distance along the span. We herein spatial discretization and the coefficient of restitution (CoR) based approach to estimat...

Vibro-impact (VI) systems are nonlinear systems that can be employed in many engineering applications, such as energy harvesting (EH). We present a VI system that consists of an externally forced inclined cylindrical capsule and a bullet that is allowed to freely move inside the capsule. Dielectric ...

The current study addresses the stability of a moving mass suspended magnetically from a periodically supported beam. The stability of the free vibration about the periodic steady state has been studied. Preliminary findings employing periodic solutions to find the stability boundary show that param...

Exploring the dynamics of microstructures is an evolving field, which has inspired substantial research in the past couple of decades. This is due to the richness, multi-physics nature, and complexity of micromachined systems, which have revealed intriguing phenomena of practical and fundamental imp...

Behaviors of city drivers are investigated in heavy traffic scenarios using automatic differentiation-based parameter fitting. Traffic data are collected via video capturing, and the parameters of the optimal velocity model are identified. Then, time-delay and time-delay-like behavior are introduced...

An analytical design method accompanied by a finite element technique to study the dynamics of a transmission line cable submitted to galloping instability with and without a nonlinear passive control device is developed. The analytical model of the cable span is developed with tools of curvilinear ...

Extremum-seeking control is a purely data-based performance optimization strategy for dynamical systems. Typical extremum seeking approaches rely on applying perturbations to tunable system parameters and measuring the corresponding system output, to determine a suitable search direction aimed at op...

We provide an overview of a passive energy management approach for nonlinear oscillators, and briefly discuss applications on vibration and shock mitigation, blast and seismic protection, nonreciprocal acoustics, and other topics. Then, based on an extended definition of the concept of bandwidth, we...

This work presents a model order reduction technique in case when a discrete-time control law is applied to a Lur'e-type system, i.e., to a linear dynamical system with a nonlinear feedback component. It is shown that the Laplace and z-transform of the piecewise-continuous response functions can be ...