Abstracts Overview

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This article aims to analyse the cardinality, algebraic structure and convergence of a family of formal solutions for the Wilcox k − ω turbulence model. This is done by obtaining the corresponding Gröbner bases by the Rosenfeld-Gröbner algorithm. An analysis of the cardinality, algebraic struct...

MS-02 - Asymptotic Methods

Oscillations of the electrically actuated micro and nano beams and plates are considered, described by strongly nonlinear PDEs. One of the essentially nonlinear effects is the pull-in phenomenon, i.e., the transition of the oscillatory regime to the attraction one. We propose a simple and physically...

MS-02 - Asymptotic Methods

We identify the existence of nonlinear viscoelastic damping in conductive metallic nanowires that are subject to magnetic excitation and investigate its effects on the spatiotemporal dynamical system response. We derive a consistent continuum-based modal dynamical system for a geometrically nonlinea...

MS-10 - Micro- and Nano-Electro-Mechanical Systems

Nonlinear meta-materials/structures can enable exotic wave propagation phenomena which ultimately lead to extraordinary functionalities that are not accessible in nature materials. Despite the increasing attention received, the properties and underlying physical mechanisms of band structures and ban...

MS-18 - Wave propagation in Mechanical Systems and Nonlinear Metamaterials

The equivalent linearization method can yield an accurate and computationally efficient estimate of the variance of the response of a nonlinear system subject to random excitation, even in the presence of strong nonlinearity. However, spectra yielded by the method are usually inaccurate, and the met...

MS-03 - Computational Methods

A wing flap with free play interacting with the flow is is studied using the latest ideas in non-smooth dynamical systems theory in this paper. Piecewise linear spring is used to model the restoring moment due to the freeplay in rotational hinge. The non-smoothness in such a piecewise-smooth system ...

MS-08 - Non-Smooth Dynamics

We provide a bifurcation analysis of the coiling patterns in liquid threads falling onto a moving surface. In the inertialess regime (low fall heights), the geometric model of coiling predicts four primary coiling patterns. We report on the existence of additional stable patterns that occur at the s...

MS-03 - Computational Methods

For process of fertilization to occur both in natural and in IVF conditions certain minimal amount of sperm cells are required. That minimal amount is species specific. Based on previous hypothesis in the oscillatory model of mammalian fertilization the theory of sperm penetration mechanism is propo...

MS-11 - Nonlinear Dynamics in Biological Systems

Amongst the many unique properties of chaos, the discovery of chaos synchronization has become a cornerstone in the understanding of nonlinear dynamical systems. While identical synchronization of mechanical structures has been demonstrated numerically in different configurations, very few investiga...

MS-10 - Micro- and Nano-Electro-Mechanical Systems

Contact simulation is an important yet challenging topic for mechanical systems, especially when the system includes flexible bodies. Common collision detection methods have a trade-off between accuracy and efficiency, which influences the performance of the dynamic simulation. In this work, contact...

MS-08 - Non-Smooth Dynamics

Conventional means of vibration control are often costly or heavy devices which are only effective over a very narrow band of excitation frequencies. It is to this end that nonlinear vibration absorbers are of interest as they are known to be capable of effectively reducing vibrations at any frequen...

MS-09 - Nonlinear Dynamics in Engineering Systems

Stiction in control valve plays a negative role in the whole control system, thus, research on motion of stem is necessary to fix the stiction problem. Lots of researches focus more on the friction and spring force in the motion model of stem, neglecting the fluid force. However, fluid force is cruc...

MS-07 - Nonlinear Phenomena in Mechanical and Structural Systems

This paper presents an innovative data-driven model order reduction approach for complex dynamical system through a piecewise artificial neural network architecture, which incorporates a state space-based attention mechanism, designed to enhance both predictive performance and interpretability. The ...

MS-20 - Physics-enhanced machine learning and data-driven nonlinear dynamics

We propose a new application of the basin stability tool which allows to update the information on the system properties under uncertainties. The concept is presented using classical mechanical setup of coupled pendula, exchanging the energy via the supporting structure. Depending on the support par...

MS-12 - Nonlinear Dynamics for Engineering Design

We perform a theoretical study of the Atlantic Meridional Overturning Circulation (AMOC) by means of a conceptual mathematical model in the form of a scalar delay differential equation (DDE) with two time delays. The time delays are associated with the positive temperature feedback between the Equat...

MS-19 - Systems with Time Delay

Nonlinear stiffness characteristics appear regularly in engineering applications including in systems with digital feedback. This paper proposes a novel method for bifurcation analysis of sampled systems with continuous nonlinearities and the presented approach is used to predict the characteristics...

MS-16 - Control and Synchronization in Nonlinear Systems

This work presents a new mathematical model of wheel hop for a vehicle with independent suspension, and performs a bifurcation analysis to investigate its nonlinear response under changes in tire inflation pressure and vertical load. Specifically, a three degree-of-freedom (DOF) model of a rear whee...

MS-09 - Nonlinear Dynamics in Engineering Systems

In this work, a 5 Degrees of Freedom (5DOF) Lumped Parameter Model (LPM) of the implanted human middle ear is proposed. Frequency response curves obtained from the model as well as the curves from the literature are compared. The proposed system shows bistability, which is not presented before in th...

MS-03 - Computational Methods

Wave dynamics of viscoelastic metamaterials, governed by their architecture, is strongly influenced by viscous losses in the constituent materials. These losses have not been properly quantified yet for additively manufactured metamaterials. This work presents a thorough characterization of the visc...

MS-18 - Wave propagation in Mechanical Systems and Nonlinear Metamaterials

We study topological solitons (transition waves) in multistable magnetoelastic lattice. The tunable lattice consists of uniformly magnetized spheres connected by linear springs subjected to a tristable onsite potential. The asymmetry in the potential gives rise to waveforms of three possible transit...

MS-18 - Wave propagation in Mechanical Systems and Nonlinear Metamaterials

The dynamics of a linear oscillator undergoing high-frictional impact is investigated. The system is a core model of brake pads or rotor-stator in contact. First, a practical mathematical model for the impact is derived, exploiting Newton's coefficient of restitution, conservation of the angular mom...

MS-13 - Energy Transfer and Harvesting in Nonlinear Systems

We propose two approaches to approximating the Lyapunov exponents of renewal equations (delay equations of Volterra type). One is based on the pseudospectral reduction to ordinary differential equations and the application of the discrete QR method; the other consists in lifting the discrete QR meth...

MS-19 - Systems with Time Delay

Multiple-degree-of-freedom (MDOF) linear dynamical systems can be exactly decomposed into single-degree-of-freedom (SDOF) oscillators via proper orthogonal decomposition (POD); however, techniques based on linear mappings do not generalise to nonlinear systems. Machine learning approaches have been ...

MS-20 - Physics-enhanced machine learning and data-driven nonlinear dynamics

We investigate numerically the basins of attraction of a simple model of single-reed musical instruments with a time- varying parameter. More precisely, the main control parameter – the blowing pressure γ – is linearly increasing and saturating to account for attack transients, which are known ...

MS-03 - Computational Methods

This study is concerned with a minimal model of a bowed string instrument, derived through a modal decomposition of the linear Kirchhoff-Carrier PDE with a Coulomb friction force that is subsequently regularized for the sake of numerical conditioning. A bifurcation analysis of the regularized model ...

MS-09 - Nonlinear Dynamics in Engineering Systems

We study a conceptual model that describes the vertical mixing process in the North Atlantic Ocean between warmer surface water and cold, deep water. This mechanism, which is crucial for the transport of warm water to Northern latitudes, is subject to seasonal forcing due to variations in the amount...

MS-15 - Time-periodic systems

Bridge structures and piers are subjected to severe environmental conditions, such as surges and icing, which can significantly impact their durability and performance. In the present work, we use a surface with a modified wall contact angle named "hybrid wettability coatings," which combines both h...

MS-17 - Fluid-Structure Interaction

Nonlinear dynamics of impact oscillators have been widely studied for the design and control of practical systems with amplitude constraining stop. In this study, we theoretically and experimentally investigated the hunting motion in a single railway wheelset with impact to rails.The system above a ...

MS-08 - Non-Smooth Dynamics

Two mathematical formulations of a model that describes the self-exited oscillations of milling tools are compared: (i) a delay differential equation (DDE) and (ii) a partial differential equation-ordinary differential equation (PDE-ODE) formulation. Although their mathematical expressions appear to...

MS-19 - Systems with Time Delay