Nonlinear modelling of unimorph and bimorph magneto-electro-elastic energy harvesters
Artikel i vetenskaplig tidskrift, 2023

This paper nonlinearly models cantilever-based functionally graded magneto-electro-elastic energy harvesters (FGMEEEH) for the first time. The coupled magneto-electro-mechanical model is obtained on the basis of the Euler-Bernoulli beam theory. A hybrid procedure including Ritz's method is then utilized to generate reduced order models for both asymmetric unimorph and symmetric bimorph configurations. The resulting sets of initial value problems, whose convergence will be examined, are then analytically solved using the method of multiple time scales for both the free vibrations and primary resonance cases. The analytical time-histories of the system are compared by those obtained numerically and excellent agreements between them are observed. In addition, simplifying the frequency response function of the system in the primary resonance case, the present findings are validated by those available in the literature for linear unimorph systems. The influences of the harvester configurations, base acceleration amplitude, the value of the tip mass, the material gradation index as well as the resistances of the piezoelectric and magnetic circuits on the nonlinear response of the system are also studied in detail. It is observed that FGMEEEEHs enjoy much more efficiency in comparison to piezoelectric-based systems.

Method of multiple time scales

Cantilever with a tip mass

Unimorph and bimorph configurations

Functionally graded magneto-electro-elastic materials

Geometric nonlinearity

Energy harvesting


Jalal Khaghanifard

Hakim Sabzevari University

Amir R. Askari

Hakim Sabzevari University

Politechnika Lodzka

Mohsen Taghizadeh

Hakim Sabzevari University

Jan Awrejcewicz

Politechnika Lodzka

Peter Folkow

Chalmers, Mekanik och maritima vetenskaper, Dynamik

Applied Mathematical Modelling

0307-904X (ISSN)

Vol. 119 803-830


Teknisk mekanik


Annan elektroteknik och elektronik



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