Reduced-order modeling of energy harvesters

Thiago Seuaciuc-Osório, Mohammed Daqaq

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

    Abstract

    This work addresses the accuracy and convergence of reduced-order models (ROMs) of energy harvesters. Two types of energy harvesters are considered, a magnetostrictive rod in axial vibrations and a piezoelectric cantilever beam in traverse oscillations. The partial differential equations (PDEs) and associated boundary conditions governing the motion of these harvesters are obtained. The eigenvalue problem is then solved for the exact eigenvalues and modeshapes. Furthermore, an exact expression for the steady-sate output power is attained by direct solution of the PDEs. Subsequently, the results are compared to a ROM attained following the Rayleigh-Ritz procedure. It is observed that the eigenvalues and output power near the first resonance frequency are more accurate and has a much faster convergence to the exact solution for the piezoelectric cantilever beam. In addition, it is shown that the convergence is governed by two dimensionless constants, one that is related to the electromechanical coupling and the other to the ratio between the time constant of the mechanical oscillator and the harvesting circuit. Using these results, conclusions are drawn with regards to the design values for which the common single-mode ROM is accurate.

    Original languageEnglish (US)
    Title of host publicationASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009
    Pages477-488
    Number of pages12
    Volume1
    EditionPARTS A AND B
    DOIs
    StatePublished - Dec 1 2009
    EventASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009 - San Diego, CA, United States
    Duration: Aug 30 2009Sep 2 2009

    Other

    OtherASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009
    CountryUnited States
    CitySan Diego, CA
    Period8/30/099/2/09

    Fingerprint

    Reduced-order Modeling
    Harvesters
    Reduced Order Model
    Cantilever Beam
    Cantilever beams
    Partial differential equations
    Partial differential equation
    Oscillators (mechanical)
    Energy
    Eigenvalue
    Electromechanical Coupling
    Electromechanical coupling
    Resonance Frequency
    Output
    Harvesting
    Single Mode
    Time Constant
    Dimensionless
    Rayleigh
    Eigenvalue Problem

    ASJC Scopus subject areas

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

    Cite this

    Seuaciuc-Osório, T., & Daqaq, M. (2009). Reduced-order modeling of energy harvesters. In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009 (PARTS A AND B ed., Vol. 1, pp. 477-488) https://doi.org/10.1115/DETC2009-87287

    Reduced-order modeling of energy harvesters. / Seuaciuc-Osório, Thiago; Daqaq, Mohammed.

    ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009. Vol. 1 PARTS A AND B. ed. 2009. p. 477-488.

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

    Seuaciuc-Osório, T & Daqaq, M 2009, Reduced-order modeling of energy harvesters. in ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009. PARTS A AND B edn, vol. 1, pp. 477-488, ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009, San Diego, CA, United States, 8/30/09. https://doi.org/10.1115/DETC2009-87287
    Seuaciuc-Osório T, Daqaq M. Reduced-order modeling of energy harvesters. In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009. PARTS A AND B ed. Vol. 1. 2009. p. 477-488 https://doi.org/10.1115/DETC2009-87287
    Seuaciuc-Osório, Thiago ; Daqaq, Mohammed. / Reduced-order modeling of energy harvesters. ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009. Vol. 1 PARTS A AND B. ed. 2009. pp. 477-488
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