Multiple-scale analysis of a novel piezoelectric energy harvester with a tunable potential function

Feng Qian, Nicole Abaid, Lie Zuo

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


This paper presents the theoretical modeling and multiplescale analysis of a novel nonlinear piezoelectric energyharvester composed of a steel beam, piezoelectric films and acompressive spring at the moveable end. The harvesterexperiences mono- and bi-stable regimes as the potential energyfunction varies from a flatted parabolic shape with a single wellto a double-well shape along with the increasing spring predeformation. Using the energy method and Galerkinapproximation, the governing equations are derived with twohigh-order coupling terms induced by the axial motion of thebeam. The analytical strategies and implementation processes ofthe method of multiple scales are systematically introduced toanalyze the nonlinear dynamics of the harvester either in themono- or bi-stable status. Numerical simulations are performedto verify the approximate analytical solutions of frequencyresponses and phase portraits. The influence of the electricalresistance, excitation level and the spring pre-deformation on thevoltage outputs and dynamics of the harvester are investigated.Results show that the spring pre-deformation has a slightinfluence on the performance of the mono-stable system, but anevident effect on that of the bi-stable system.

Original languageEnglish (US)
Title of host publicationModeling and Control of Engine and Aftertreatment Systems; Modeling and Control of IC Engines and Aftertreatment Systems; Modeling and Validation; Motion Planning and Tracking Control; Multi-Agent and Networked Systems; Renewable and Smart Energy Systems; Thermal Energy Systems; Uncertain Systems and Robustness; Unmanned Ground and Aerial Vehicles; Vehicle Dynamics and Stability; Vibrations
Subtitle of host publicationModeling, Analysis, and Control
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791859155
StatePublished - 2019
EventASME 2019 Dynamic Systems and Control Conference, DSCC 2019 - Park City, United States
Duration: Oct 8 2019Oct 11 2019

Publication series

NameASME 2019 Dynamic Systems and Control Conference, DSCC 2019


ConferenceASME 2019 Dynamic Systems and Control Conference, DSCC 2019
Country/TerritoryUnited States
CityPark City

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering


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