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Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland


C. Steve Suh (editor)

Texas A&M University, USA


Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China


Energy Harvesting of a Unimorph-Piezoelectric Portal Frame Using Component Mode Synthesis

Journal of Vibration Testing and System Dynamics 8(1) (2024) 47--66 | DOI:10.5890/JVTSD.2024.03.004

Nyesunthi Apiwattanalunggarn

Department of Mechanical Engineering, Kasetsart University, 50 Phaholyothin Road, Jatujak, Bangkok 10900,


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This paper describes a methodology for modeling a unimorph-piezoelectric portal frame based on electromechanical energy formulation of the Euler-Bernoulli beam with axial deformations, the fixed-interface component mode synthesis by Craig and Bampton, and the Rayleigh-Ritz method. An assembled model obtained from this approach is the reduced-order model in terms of generalized modal coordinates without dealing with finite-element model during modeling formulation. The operating frequency of the portal-frame energy harvester can be reduced significantly from a cantilevered-piezoelectric energy harvester. The total-voltage output of the portal frame is the sum of voltage outputs from each substructure due to in-phase voltage outputs of each substructure. The presented approach can be used systematically to study an internal resonance of the portal frame when both piezoelectric-material nonlinearity and geometric nonlinearity are included.


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