Transduction of a bistable inductive generator driven by white and exponentially correlated Gaussian noise

Mohammed Daqaq

    Research output: Contribution to journalArticle

    Abstract

    In this theoretical study, the response of an inductive power generator with a bistable symmetric potential to stationary random environmental excitations is investigated. Both white and OrnsteinUhlenbeck-type excitations are considered. In the white noise limit, the stationary FokkerPlankKolmagorov equation is solved for the exact joint probability density function (PDF) of the response. The PDF is then used to obtain analytical expressions for the response statistics. It is shown that the expected value of the generator's output power is independent of the potential shape leading to the conclusion that under white noise excitations, bistabilities in the potential do not provide any enhancement over the traditional linear resonant generators which have a single-well potential. In the case of OrnsteinUhlenbeck (exponentially correlated) noise, an approximate expression for the mean power of the generator which depends on the potential shape, the generator's design parameters and the noise bandwidth and intensity is obtained. It is shown that there exists an optimal potential shape which maximizes the output power. This optimal shape guarantees an optimal escapement frequency between the potential wells which remains constant even as the noise intensity is varied.

    Original languageEnglish (US)
    Pages (from-to)2554-2564
    Number of pages11
    JournalJournal of Sound and Vibration
    Volume330
    Issue number11
    DOIs
    StatePublished - May 23 2011

    Fingerprint

    White noise
    random noise
    Probability density function
    generators
    Statistics
    Bandwidth
    white noise
    probability density functions
    excitation
    electric generators
    output
    noise intensity
    statistics
    bandwidth
    augmentation

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Mechanics of Materials
    • Acoustics and Ultrasonics
    • Mechanical Engineering

    Cite this

    Transduction of a bistable inductive generator driven by white and exponentially correlated Gaussian noise. / Daqaq, Mohammed.

    In: Journal of Sound and Vibration, Vol. 330, No. 11, 23.05.2011, p. 2554-2564.

    Research output: Contribution to journalArticle

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