On approximating the effective bandwidth of bi-stable energy harvesters

Meghashyam Panyam, Ravindra Masana, Mohammed Daqaq

    Research output: Contribution to journalArticle

    Abstract

    This paper aims to establish an analytical framework to define the effective bandwidth of bi-stable vibratory energy harvesters possessing a symmetric quartic potential function. To achieve this goal, the method of multiple scales is utilized to construct analytical solutions describing the amplitude and stability of the intra- and inter-well dynamics of the harvester. Using these solutions, critical bifurcations in the parameters'space are identified and used to define an effective frequency bandwidth of the harvester. The influence of three critical design parameters, namely the time constant ratio (ratio between the time constant of the harvesting circuit and the period of the mechanical system), the electromechanical coupling, and the shape of the potential function, on the effective frequency bandwidth is analyzed. It is shown that, while the time constant ratio has very little influence on the effective bandwidth of the harvester, increasing the electromechanical coupling and/or designing the potential function with deeper potential wells serve to shrink the effective bandwidth for a given level of excitation. In general, it is also observed that narrowing of the effective bandwidth is accompanied by an increase in the electric output further highlighting the competing nature of these two desired objectives.

    Original languageEnglish (US)
    Pages (from-to)153-163
    Number of pages11
    JournalInternational Journal of Non-Linear Mechanics
    Volume67
    DOIs
    StatePublished - Jan 1 2014

    Fingerprint

    Effective Bandwidth
    Harvesters
    Potential Function
    Time Constant
    Electromechanical Coupling
    Bandwidth
    Energy
    Electromechanical coupling
    Method of multiple Scales
    Potential Well
    Harvesting
    Quartic
    Parameter Design
    Mechanical Systems
    Parameter Space
    Analytical Solution
    Bifurcation
    Excitation
    Output
    Networks (circuits)

    Keywords

    • Bi-stable oscillators
    • Bifurcations
    • Effective bandwidth
    • Non-linear dynamics
    • Vibratory energy harvesting

    ASJC Scopus subject areas

    • Mechanics of Materials
    • Mechanical Engineering
    • Applied Mathematics

    Cite this

    On approximating the effective bandwidth of bi-stable energy harvesters. / Panyam, Meghashyam; Masana, Ravindra; Daqaq, Mohammed.

    In: International Journal of Non-Linear Mechanics, Vol. 67, 01.01.2014, p. 153-163.

    Research output: Contribution to journalArticle

    Panyam, Meghashyam ; Masana, Ravindra ; Daqaq, Mohammed. / On approximating the effective bandwidth of bi-stable energy harvesters. In: International Journal of Non-Linear Mechanics. 2014 ; Vol. 67. pp. 153-163.
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