Abstract
Nonlinearity is ubiquitous in both natural and engineering systems. The resultant dynamics has emerged as a multidisciplinary field that has been very extensively investigated, due partly to the potential occurrence of nonlinear phenomena in all branches of sciences, engineering and medicine. Driving nonlinear systems with external excitations can yield a plethora of intriguing and important phenomena—one of the most prominent being that of resonance. In the presence of additional harmonic or stochastic excitation, two exotic forms of resonance can arise: vibrational resonance or stochastic resonance, respectively. Several promising state-of-the-art technologies that were not covered in part 2 of this theme issue are discussed here. They include inter alia the improvement of image quality, the design of machines and devices that exert vibrations on materials, the harvesting of energy from various forms of ambient vibration and control of aerodynamic instabilities. They form an important part of the theme issue as a whole, which is dedicated to an overview of vibrational and stochastic resonances in driven nonlinear systems.This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 2)’.
Highlights
Cite this article: Vincent UE, McClintock PVE, Khovanov IA, Rajasekar S. 2021 Vibrational and stochastic resonances in driven nonlinear systems: part 2
They include inter alia the improvement of image quality, the design of machines and devices that exert vibrations on materials, the harvesting of energy from various forms of ambient vibration and control of aerodynamic instabilities. They form an important part of the theme issue as a whole, which is dedicated to an overview of vibrational and stochastic resonances in driven nonlinear systems
It has been established that these applications are connected to a plethora of dynamical phenomena induced by driving forces, yielding insights into a diversity of microscopic and macroscopic processes as enumerated in a very recent review by Vincent & Kolebaje [2]
Summary
Vibrational and stochastic resonances in driven nonlinear systems—part 1 by Vincent et al [31]. On the topic of systems in confined channels, Du et al [25] propose an alternative approach for controlling the dynamics of small-scale systems via entropic stochastic resonance (ESR) They report their investigations into the response of a Brownian particle moving within a dumbbell-shaped confinement, and driven by transverse driving force while preserving the system’s symmetry. Alhadidi et al [12] introduce a novel approach for suppressing galloping oscillations over a wide range of flow velocities that is capable of inducing them The authors demonstrate, both theoretically and experimentally, that a high-frequency non-resonant base excitation can have this desirable effect. The observed vibration effects might seem to portend harmful influence in, for instance, failures of synchronous and in-phase rotation of self-synchronizing vibrators, as found during the tests of a large vibration machine, the authors discuss some potential industrial applications in the design of new types of inertial vibration exciter and they propose a dynamical scheme for an exciter based on the VR phenomenon
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