Exploiting super-harmonic resonances of a bi-stable axially-loaded beam for energy harvesting under low-frequency excitations

Ravindra Masana, Mohammed Daqaq

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    A research paradox currently lies in the design of miniaturized vibratory energy harvesters capable of harnessing energy efficiently from low-frequency excitations. To address this problem, this effort investigates the prospect of utilizing superharmonic resonances of a bi-stable system to harvest energy from excitation sources with low-frequency components. Towards that objective, the paper considers the electromechanical response of an axially-loaded clamped-clamped piezoelectric beam harvester with bi-stable potential characteristics. By numerically constructing the voltage-frequency bifurcation maps of the response near the super-harmonic resonance of order two, it is shown that, for certain base excitation levels, the harvester can exhibit responses that are favorable for energy harvesting. These include a unique branch of large-orbit periodic inter-well oscillations, coexisting branches of large-orbit solutions, and a bandwidth of frequencies where a unique chaotic attractor exists. In these regions, the harvester can produce power levels that are comparable to those obtained near the primary resonance.

    Original languageEnglish (US)
    Title of host publicationASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011
    Pages999-1008
    Number of pages10
    Volume4
    EditionPARTS A AND B
    DOIs
    StatePublished - Dec 1 2011
    EventASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011 - Washington, DC, United States
    Duration: Aug 28 2011Aug 31 2011

    Other

    OtherASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011
    CountryUnited States
    CityWashington, DC
    Period8/28/118/31/11

    Fingerprint

    Harvesters
    Energy Harvesting
    Energy harvesting
    Low Frequency
    Harmonic
    Excitation
    Branch
    Energy
    Primary Resonance
    Bistable System
    Orbits
    Chaotic Attractor
    Paradox
    Periodic Orbits
    Bifurcation
    Orbit
    Voltage
    Bandwidth
    Oscillation
    Electric potential

    Keywords

    • Bi-stable
    • Energy harvesting
    • Low frequency
    • Nonlinear
    • Super-harmonic resonances

    ASJC Scopus subject areas

    • Modeling and Simulation
    • Mechanical Engineering
    • Computer Science Applications
    • Computer Graphics and Computer-Aided Design

    Cite this

    Masana, R., & Daqaq, M. (2011). Exploiting super-harmonic resonances of a bi-stable axially-loaded beam for energy harvesting under low-frequency excitations. In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011 (PARTS A AND B ed., Vol. 4, pp. 999-1008) https://doi.org/10.1115/DETC2011-47723

    Exploiting super-harmonic resonances of a bi-stable axially-loaded beam for energy harvesting under low-frequency excitations. / Masana, Ravindra; Daqaq, Mohammed.

    ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. Vol. 4 PARTS A AND B. ed. 2011. p. 999-1008.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Masana, R & Daqaq, M 2011, Exploiting super-harmonic resonances of a bi-stable axially-loaded beam for energy harvesting under low-frequency excitations. in ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. PARTS A AND B edn, vol. 4, pp. 999-1008, ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011, Washington, DC, United States, 8/28/11. https://doi.org/10.1115/DETC2011-47723
    Masana R, Daqaq M. Exploiting super-harmonic resonances of a bi-stable axially-loaded beam for energy harvesting under low-frequency excitations. In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. PARTS A AND B ed. Vol. 4. 2011. p. 999-1008 https://doi.org/10.1115/DETC2011-47723
    Masana, Ravindra ; Daqaq, Mohammed. / Exploiting super-harmonic resonances of a bi-stable axially-loaded beam for energy harvesting under low-frequency excitations. ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. Vol. 4 PARTS A AND B. ed. 2011. pp. 999-1008
    @inproceedings{b874c5030cd846389f43b82ea4918103,
    title = "Exploiting super-harmonic resonances of a bi-stable axially-loaded beam for energy harvesting under low-frequency excitations",
    abstract = "A research paradox currently lies in the design of miniaturized vibratory energy harvesters capable of harnessing energy efficiently from low-frequency excitations. To address this problem, this effort investigates the prospect of utilizing superharmonic resonances of a bi-stable system to harvest energy from excitation sources with low-frequency components. Towards that objective, the paper considers the electromechanical response of an axially-loaded clamped-clamped piezoelectric beam harvester with bi-stable potential characteristics. By numerically constructing the voltage-frequency bifurcation maps of the response near the super-harmonic resonance of order two, it is shown that, for certain base excitation levels, the harvester can exhibit responses that are favorable for energy harvesting. These include a unique branch of large-orbit periodic inter-well oscillations, coexisting branches of large-orbit solutions, and a bandwidth of frequencies where a unique chaotic attractor exists. In these regions, the harvester can produce power levels that are comparable to those obtained near the primary resonance.",
    keywords = "Bi-stable, Energy harvesting, Low frequency, Nonlinear, Super-harmonic resonances",
    author = "Ravindra Masana and Mohammed Daqaq",
    year = "2011",
    month = "12",
    day = "1",
    doi = "10.1115/DETC2011-47723",
    language = "English (US)",
    isbn = "9780791854815",
    volume = "4",
    pages = "999--1008",
    booktitle = "ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011",
    edition = "PARTS A AND B",

    }

    TY - GEN

    T1 - Exploiting super-harmonic resonances of a bi-stable axially-loaded beam for energy harvesting under low-frequency excitations

    AU - Masana, Ravindra

    AU - Daqaq, Mohammed

    PY - 2011/12/1

    Y1 - 2011/12/1

    N2 - A research paradox currently lies in the design of miniaturized vibratory energy harvesters capable of harnessing energy efficiently from low-frequency excitations. To address this problem, this effort investigates the prospect of utilizing superharmonic resonances of a bi-stable system to harvest energy from excitation sources with low-frequency components. Towards that objective, the paper considers the electromechanical response of an axially-loaded clamped-clamped piezoelectric beam harvester with bi-stable potential characteristics. By numerically constructing the voltage-frequency bifurcation maps of the response near the super-harmonic resonance of order two, it is shown that, for certain base excitation levels, the harvester can exhibit responses that are favorable for energy harvesting. These include a unique branch of large-orbit periodic inter-well oscillations, coexisting branches of large-orbit solutions, and a bandwidth of frequencies where a unique chaotic attractor exists. In these regions, the harvester can produce power levels that are comparable to those obtained near the primary resonance.

    AB - A research paradox currently lies in the design of miniaturized vibratory energy harvesters capable of harnessing energy efficiently from low-frequency excitations. To address this problem, this effort investigates the prospect of utilizing superharmonic resonances of a bi-stable system to harvest energy from excitation sources with low-frequency components. Towards that objective, the paper considers the electromechanical response of an axially-loaded clamped-clamped piezoelectric beam harvester with bi-stable potential characteristics. By numerically constructing the voltage-frequency bifurcation maps of the response near the super-harmonic resonance of order two, it is shown that, for certain base excitation levels, the harvester can exhibit responses that are favorable for energy harvesting. These include a unique branch of large-orbit periodic inter-well oscillations, coexisting branches of large-orbit solutions, and a bandwidth of frequencies where a unique chaotic attractor exists. In these regions, the harvester can produce power levels that are comparable to those obtained near the primary resonance.

    KW - Bi-stable

    KW - Energy harvesting

    KW - Low frequency

    KW - Nonlinear

    KW - Super-harmonic resonances

    UR - http://www.scopus.com/inward/record.url?scp=84863606075&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84863606075&partnerID=8YFLogxK

    U2 - 10.1115/DETC2011-47723

    DO - 10.1115/DETC2011-47723

    M3 - Conference contribution

    SN - 9780791854815

    VL - 4

    SP - 999

    EP - 1008

    BT - ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011

    ER -