Study the effect of tapering on the nonlinear behavior of an exponentially varying width piezoelectric energy harvester

[+] Author and Article Information
Hamed Salmani

Ph.D. Student, Department of Aerospace Engineering, Tarbiat Modares University

G.H Rahimi

Professor, Department of Mechanical Engineering, Tarbiat Modares University, P.O. Box 14115-111, Jalal Ale Ahmad Exp.Way, Tehran, Iran

1Corresponding author.

ASME doi:10.1115/1.4039932 History: Received December 16, 2017; Revised March 03, 2018


It has been shown that exponentially tapering the width of a vibration based piezoelectric energy harvester will result in increasing electric power per mass in a specified frequency. In this paper a nonlinear solution of an exponentially decreasing width piezoelectric energy harvester is presented. Piezoelectric, inertial, and geometric nonlinearities are included in the presented model, while the exponentially tapered piezoelectric beam's mass normalized mode shapes are utilized in Galerkin discretization. The developed nonlinear coupled Equations of Motion (EoM) are solved using Method of Multiple Scales (MMS), and the steady states results are verified by experiment in high amplitude excitation. Finally, the exponentially tapering parameter effect is studied, and it is concluded that the voltage per mass of the energy harvester is improved by tapering at high exciting acceleration amplitudes.

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