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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