In addition, since suppressing mechanical vibrations is desirable in many engineering applications, harvesting electrical power from this redundant source of energy instead of dissipating it is highly encouraged. Despite the ambient vibrations, other energy resources such as solar energy usually face some limitations regarding the weather conditions as well as the restrictions associated with the installation site. This technology can overcome the problems associated with replacing and re-charging the batteries of the electronic systems installed in inaccessible environments. In the recent decade, the desire of scavenging energy from the environment to feed inaccessible low power devices such as sensor network equipment has grown dramatically. It is observed that FGMEEEEHs enjoy much more efficiency in comparison to piezoelectric-based 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. 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 analytical time-histories of the system are compared by those obtained numerically and excellent agreements between them are observed.
Non linear force function in a spring mmass sysytem free#
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.
A hybrid procedure including Ritz's method is then utilized to generate reduced order models for both asymmetric unimorph and symmetric bimorph configurations. The coupled magneto-electro-mechanical model is obtained on the basis of the Euler-Bernoulli beam theory. This paper nonlinearly models cantilever-based functionally graded magneto-electro-elastic energy harvesters (FGMEEEH) for the first time.
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