Vibrational resonance

Landa, P. S.; McClintock, Peter V. E.

doi:10.1088/0305-4470/33/45/103

Cited by 408 publications

(302 citation statements)

References 14 publications

Supporting

Mentioning

287

Contrasting

Unclassified

Order By: Relevance

“…In addition, although early work on stochastic resonance focused on bi-stable systems excited by white noise, more recent work has shown that similar effects are possible in systems where stochastic noise is replaced with high frequency excitation [10]. This analogous phenomenon occurs when the excitation frequency is well separated from the forcing frequency of the potential well.…”

Section: Introductionmentioning

confidence: 99%

Enhanced vibrational energy harvesting using nonlinear stochastic resonance

McInnes

Gorman

Cartmell

2008

Journal of Sound and Vibration

237

155

View full text Add to dashboard Cite

Stochastic resonance has seen wide application in the physical sciences as a tool to understand weak signal amplification by noise. However, this apparently counterintuitive phenomenon does not appear to have been exploited as a tool to enhance vibrational energy harvesting. In this note we demonstrate that by adding periodic forcing to a vibrationally excited energy harvesting mechanism, the power available from the device is apparently enhanced over a mechanism without periodic forcing.In order to illustrate this novel effect, a conceptually simple, but plausible model of such a device is proposed to explore the use of stochastic resonance to enhance vibrational energy harvesting.

show abstract

Section: Introductionmentioning

confidence: 99%

Enhanced vibrational energy harvesting using nonlinear stochastic resonance

McInnes

Gorman

Cartmell

2008

Journal of Sound and Vibration

237

155

View full text Add to dashboard Cite

show abstract

“…Such external drivings include a chaotic signal [5] or a high-frequency periodic force [6]. In the latter case, the system is driven by a biharmonic signal, consisting of a low-frequency and a high-frequency periodic force.…”

Section: Introductionmentioning

confidence: 99%

Vibrational and stochastic resonances in two coupled overdamped anharmonic oscillators

Gandhimathi

Rajasekar

Kurths³

2006

Physics Letters A

View full text Add to dashboard Cite

We study the overdamped version of two coupled anharmonic oscillators under the influence of both low-and high-frequency forces respectively and a Gaussian noise term added to one of the two state variables of the system. The dynamics of the system is first studied in the presence of both forces separately without noise. In the presence of only one of the forces, no resonance behaviour is observed, however, hysteresis happens there. Then the influence of the high-frequency force in the presence of a low-frequency, i.e. biharmonic forcing, is studied. Vibrational resonance is found to occur when the amplitude of the high-frequency force is varied. The resonance curve resembles a stochastic resonance-like curve. It is maximum at the value of g at which the orbit lies in one well during one half of the drive cycle of the low-frequency force and in the other for the remaining half cycle. Vibrational resonance is characterized using the response amplitude and mean residence time. We show the occurrence of stochastic resonance behaviour in the overdamped system by replacing the high-frequency force by Gaussian noise. Similarities and differences between both types of resonance are presented.

show abstract

“…The terms F i and H are linear in dimensionless random variable ω, i.e., one can indicate a stochastic Langevin's source ω as multiplicative one [30]. The function H in the form (16) guarantees that the trivial value ω ≡ 0 is a singular solution of the dynamic equation (3).…”

Section: Force Field Modelingmentioning

confidence: 99%

Curvature Coupling and Accelerated Expansion of the Universe

Balakin

2004

General Relativity and Gravitation

View full text Add to dashboard Cite

A new exactly solvable model for the evolution of relativistic kinetic system interacting with an internal stochastic reservoir under the influence of a gravitational background expansion is established. This model of selfinteraction is based on the relativistic kinetic equation for the distribution function defined in the extended phase space. The supplementary degree of freedom is described by the scalar stochastic variable (Langevin source), which is considered to be the constructive element of the effective oneparticle force. The expansion of the Universe is shown to be accelerated for the suitable choice of the non-minimal self-interaction force.

show abstract

Vibrational resonance

Cited by 408 publications

References 14 publications

Enhanced vibrational energy harvesting using nonlinear stochastic resonance

Enhanced vibrational energy harvesting using nonlinear stochastic resonance

Vibrational and stochastic resonances in two coupled overdamped anharmonic oscillators

Curvature Coupling and Accelerated Expansion of the Universe

Contact Info

Product

Resources

About