Abstracts Overview

For smooth nonlinear systems, available nonlinear order reduction techniques generally require computing the eigenvalues of the underlying linear system. However, the presence of nonsmooth nonlinearities in the dynamics excludes the application of these methods since the system cannot be locally lin...

We present experiments on a new hydraulically amplified self-healing electrostatic (HASEL) actuator and propose a method for modeling its forced response on data-driven spectral submanifolds (SSMs). First, we find that the fast periodic dynamics is captured by a two-dimensional forced SSM. Second, o...

In this paper, we design, develop, and assess the performance of MEMS gas sensors coated with a metal organic framework, namely Zeolitic imidazolate framework (ZIF-8). We demonstrate the potential use of nonlinear dynamic features of electrostatic MEMS resonators, captured using the motion-induced c...

Cable-stayed bridges have gained significant attention in large-span bridge construction due to their robust structures, aesthetic appeal, and impressive spanning capabilities. These structures, however, are susceptible to considerable vibrations and internal resonance when subjected to load conditi...

Since rolling bearings frequently operate in variable speed conditions, the elastic deformation of the cage occurs intensely due to the enhanced excitation, which may lead to dynamic instability or even failure of the bearing. To this end, a flexible cage model based on the semi-flexible body elemen...

Epidemic spread dynamics driven by nonlinearity and noise is a focal research topic post the COVID-19 pandemic. Turing-type instabilities can drastically alter epidemic trajectories leading to unique spread patterns. We study instabilities in epidemic spread using a compartmental, stochastic partial...

The non-linear dynamical behavior of a simply supported box girder bridge is studied. In particular, the Thin-Walled-Beam is treated through the Generalized Beam Theory (GBT) to consider the deformation of the cross-section in its own plane. The non-linearity is introduced by a Nonlinear Energy Sink...

This research is about the non-stationary probabilistic solution of the vibro-impact system under external Gaussian white noise. The unilateral barrier is adopted as the constraint to the system, and the constrained system is transformed into another system without barriers. The relevant Fokker-Plan...

This contribution introduces the application of control barrier functionals in turning processes to maintain acceptable surface quality while increasing productivity. An illustrative simple example is presented to control an unstable turning process by applying an optimal feedback loop with input sa...

Flow-limiting valve is used to control hydrogen flow in the combination valve of hydrogen storage cylinder. The influence of stiffness on nonlinear motion of conical valve core in flow-limiting valve is studied in this research. The results show that the motion tends to be more stable under larger s...

Spectral submanifolds provide a useful tool for efficient model reduction of nonlinear dynamical systems. Here, we introduce spectral submanifolds for time delay systems which allow us to reduce the dynamics from an infinite-dimensional state space to a few dimensions. We demonstrate that the algori...

Pipes are widely used in aircraft, ships and other engineering fields. The vibration of the pipe will affect the reliability of the system and even cause accidents. Therefore, the vibration control of the pipe is of great significance. Most of the existing literatures consider the linear constitutiv...

In continuation to [1], this paper gives a further step towards an improved reliability analysis of a dynamical system attractor, based on its dynamic integrity. Although the ideas are applicable to a broader class of problems within dynamical systems theory, they will be illustrated to discuss the ...

Stick-slip oscillations in drilling systems are a well-known example of self-excited oscillations established due to nonlinear discontinuous forces resulting from bit-rock and drillstring-wellbore interaction. Since the drillstring typically consists of multiple components with different inertia and...

In the domain of vibrations, the responses of a mechanical system are often depicted as the amplitude versus the excitation frequency, namely the Frequency Response Function (FRF). For a given value of the excitation frequency, the uniqueness of the solution to the structural dynamics problem is not...

Initially focused on suppressing Vortex-Induced Vibrations (VIV) to mitigate their detrimental effects on engineering structures, ongoing research has shifted towards harnessing VIV for energy. Such VIV-based energy harvester can be a promising alternative to rotor-based installations in low speed w...

A non-linear model to describe the constitutive behaviour of composites reinforced with carbon nanotubes is presented. The model is formulated in order to adequately represent the damping effects introduced by carbon nanotubes, assuming the occurrence of stick-slip motion. The primary goal is to pro...

Underactuated wheeled vehicles are commonly studied as nonholonomic systems with periodic actuation. Twistcar is a classical example inspired by a riding toy, which has been analyzed using a planar model of a dynamical system with nonholonomic constraints. Previous analyses of the Twistcar model als...

This contribution gives the formal notion of neutral distributed differential equations, which can be used for Hopf bifurcation calculation using center manifold reduction theorem and normal form calculation. An illustrative simple example is presented to control a robotic arm with nonlinear stiffne...

The dynamics of the primary Spectral Submanifold (SSM) constructed over the eigenspace spanned by the slowest modes of a dynamical system represent an ideal reduced order model. However, modeling the dynamics of trajectories lying farther away from the primary SSM is difficult if the system exhibits...

Behaviour of a typical multiple impact jarring tool is examined to understand the effect of design and operational parameters on the tool's performance. Low-dimensional models were developed comprising lump masses, springs, and viscous dampers, which can mimic the tool's main function of generating ...

This study presents a small-scale hybrid test setup for the investigation of various vibration control strategies to limit the motion of wind-turbine generators during the installation phase. The control strategy is incorporated virtually (i.e., the response of the additional degrees of freedom is s...

This study presents a groundbreaking achievement in the generation of mechanical soliton frequency combs within an electrostatic NEMS resonator. Our approach relies on a single NEMS resonator offering remarkable simplicity and efficiency. Our method relies on an intricate interaction among multiple ...

This work studies an effective and straightforward approach to investigate the response of impact systems driven by both period and random excitations. A single-degree-of-freedom impacting system with a one-sided soft constraint is considered in this study. The critical noise intensity for noise-ind...

We present a systematic control design method for achieving non-collocated vibration suppression, with a focus on multi-frequency suppression. The objective is to suppress vibrations of various frequencies at a specific location while maximizing the closed-loop stability margin. This objective is tr...

Shallow arches have been used as architectural structures dating back to antiquity. Historically, these structures have been studied under static conditions for their use as load-bearing elements. However, in recent years the dynamic phenomena of the shallow arches, such as snap-through instabilitie...

Finite element models of realistic nonlinear structures are characterized by very high dimensionality that renders simulations of the full system infeasible. The recent theory of spectral submanifolds enables a locally exact, nonlinear model reduction of the full system's variables in a mathematical...

An increase in damping is relevant for the passive control of vibrations and noise; therefore, it is very relevant in design. Experimental data shows a strong and nonlinear dependence of damping on the vibration amplitude for beams, plates and shells of different size and made of different materials...

Finite element models with fine spatial discretization are required for accurate predictions of vibration-induced stresses which can cause fatigue. Dynamic analyses with these models, however, come at high computational cost. Therefore, many applications, e.g., such requiring large parameter studies...