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Energy harvesting from a non-linear standing beam–mass system: Two- versus one-mode approximations / S Amir Mousavi Lajimi; Michael Friswell

Journal of Intelligent Material Systems and Structures, Volume: 28, Issue: 8, Pages: 1010 - 1022

Swansea University Author: Michael, Friswell

Abstract

We investigate the effect of including the second mode of natural vibration on the computed response of a forced non-linear gravity-loaded beam–mass structure used for non-linear piezoelectric energy harvesting. Using the method of assumed-modes and Lagrange’s equations, we develop the discretized e...

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Published in: Journal of Intelligent Material Systems and Structures
ISSN: 1045-389X 1530-8138
Published: 2017
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa33943
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Abstract: We investigate the effect of including the second mode of natural vibration on the computed response of a forced non-linear gravity-loaded beam–mass structure used for non-linear piezoelectric energy harvesting. Using the method of assumed-modes and Lagrange’s equations, we develop the discretized equations of generalized coordinates of the system including the electro-mechanical equation. The equation of motion is further simplified to find the single-mode approximation. The phase-portraits, time-histories, Poincaré sections, and frequency–response curves of the system are computed. It is shown that the number of mode shapes affects the response, and it is required to include higher modes to improve the analytical–computational results. The system shows distinct behavior varying from a linear single-frequency response to a multi-frequency chaotic response. The average power across the load resistor consequently shows a noticeable variation depending on the characteristics of the overall system response.
Keywords: Energy harvesting, piezoelectric, bi-stable, bifurcation diagram, Poincaré section, frequency–response curve
College: College of Engineering
Issue: 8
Start Page: 1010
End Page: 1022