Abstracts Overview

In this work, the vibration attenuation capabilities of a negative stiffness device, termed NegSV, are studied. This nonlinear mechanism can be mounted to multi-storey frame structures, exploiting the partial mass resonance concept, where the top part of the frame effectively acts as a resonator def...

One of the manifestations of parametric excitation in dynamical systems is the normal mode splitting. This phenomenon has been known for long in other disciplines as quantum optics and cavity optomechanics. It appears as a splitting in the resonance peak of an oscillating mode when coupled to anothe...

Comparison of behaviors and performances between large amplitude nonlinear direct and parametric shunted piezoelectric energy harvesters (PEH) are addressed in this paper. A model of geometrically exact piezoelectric laminated beam with parametric excitation is proposed and simplified with Euler-Ber...

The Hyperloop is a potential new mode of transport that will have very large target velocities. One possible design comprises an electromagnetically suspended pod that moves in a tube which is periodically supported by columns. This design has two potential sources of instability: (i) the electromag...

We review partial synchronization patterns emerging in networks of nonlinear oscillators. An intriguing example are chimera states which consist of spatially coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics, i.e., seemingly incongruous parts. We show that a plet...

This study evidence that the resonant phase lags found numerically and analytically for single-degree-of-freedom systems in Volvert et al. cannot always be extended to the multi-degree-of-freedom case. Indeed, the potential interactions between primary and secondary resonances have a direct influenc...

The paper presents a piezoelectric floating mass transducer with variable stiffness element which is used to connect the transducer with the middle ear. A magnetorheological elastomer and variable stiffness polymer can be used as connecting element to get an effect of variable natural frequency of t...

Frequency-based determination of stability of periodic solutions is often carried out using Hill's method. The authors recently introduced a novel projection method which uses this Hill matrix to arrive at the Floquet multipliers of the periodic solution in a numerically efficient manner. In this wo...

In contrast to the past, when nonlinear phenomena arising in structures of practical interest were seen as almost pathological, today very often slender and highly flexible structures are used in engineering design to take advantage of the beneficial effects of nonlinear dynamics. Needless to say, a...

Adding flexibility to flapping tails enhances swimming performance in terms of thrust generation and efficiency. To date, the majority of studies aiming at assessing this enhancement are concerned with the case of uniform flexural rigidity. Yet, it has been determined that varying this rigidity coul...

We consider the normal form for the celebrated Fermi-Pasta-Ulam-Tsingou (FPUT) lattice for an arbitrary number N of particles, with any number of nonlinear terms in a polynomial expansion ('alpha', 'beta', etc.), and with either periodic or fixed boundary conditions. The normal-form equations of mot...

This work presents a novel approach that overcomes the sequential nature of numerical path continuation. The idea is to first define an appropriately simplified low-fidelity model and predict its relevant dynamics with low computational effort, e.g. analytically. Next, the set of relevant solution p...

Previous research on parametric vibration of pipes has primarily focused on straight configurations. This paper investigates the nonlinear parametric resonance characteristics of slightly curved pipes. Approximate analytical solutions for instability boundary and amplitude-frequency response of pipe...

This work investigates the dynamic behavior of a Van der Pol oscillator (used as an archetypal self-sustained oscillator) coupled to a bistable nonlinear energy sink (BNES). First, numerical simulations show that this system can undergo a wide diversity of motions including different types of period...

Dynamic models are widely used for simulating friction phenomena, however, the examination of the models is often limited to numerical simulations. In this paper, new models based on the Generalized Maxwell-Slip (GMS) model − the SGMS-Coulomb and the SGMS-Stribeck model − are examined. These mod...

The piezoelectric energy harvesting from the galloping of a rigid prism is numerically investigated. The prism is mounted on a bimorph piezoelectric cantilevered beam and on a nonlinear spring whereas the aerodynamic force is computed using the classical quasi-steady approach. The results for four c...

It becomes apparent that stochastic partial differential equations driven by white noise are conceptually flawed for modeling purposes. This is because neighboring infinitesimally small spatial regions receive similar random perturbations, which violates the fundamental assumption of white noise—n...

This study addresses the dynamic response variability in friction-damped structures, with a focus on the uncertainty stemming from the non-uniqueness of residual tractions. Utilizing a recently developed Nonlinear-Mode based method, we first perform uncertainty quantification on amplitude-dependent ...

This study deals with the design of distributed internal oscillators in a metastructure to achieve its beneficial low-frequency vibration performance. First, an analytical approach is taken in which all of them are equal mutually and tuned to the first resonance of the metastructure with blocked int...

In this study, we investigate the nonlinear dynamics of an in-plane rotational disc mass sensor. The proposed structure not only benefits from the low damping ratio thanks to the in-plane motion, but also tackles the position dependency of the added mass due to the ring structure of the central disc...

Purcell’s swimmer is a well-known planar model of a swimming microorganism, comprised of three rigid links connected by actuated rotary joints. This model has been analyzed as a robotic locomotion system governed by first-order nonlinear dynamics with two periodic inputs. In this work we present a...

The paper explores the effect of parametric amplification on interface states in a mass-spring periodic chain system. Particularly, the existence of interface states in the presence of nonlinearity and the impact of parametric amplification is investigated for the case when a Mathieu-Duffing type os...

This paper deals with the parametric stiffness excitation of an unconstrained dynamical system with three degrees of freedom. A constant force at the first degree of freedom drives the system, and both mass- and stiffness-proportional damping are considered. The parametrically excited vibrations are...

We address in this communication the use of phase resonance testing, practically realized by phase lock loop experimental continuation of periodic solutions, to measure the conservative backbone curves of a geometrically nonlinear structure. We focus on highly flexible structures, such as cantilever...

Intermodal Targeted Energy Transfer (IMTET) is a new methodology for mitigation of undesired vibrations by facilitating the energy transfer between the modes and effective utilization of internal damping capacity of the structure. The method is based on introduction of substantially nonlinear elemen...

In this communication, we investigate the dynamics of a simple model of reed musical instrument with a time-varying blowing pressure accounting for attack transients performed by the musician. Indeed, when playing a reed instrument (such as the clarinet), initial acoustical transients (i.e., beginni...

Koopman operator theory has attracted a lot of attention in recent years, since it allows for linear representations of quite general (autonomous) nonlinear systems. Two questions that frequently arise in this context are the dimension of the linear Koopman system, and the question how a linear syst...