Nonlinear energy harvester with coupled Duffing oscillators

Karlicic, Danilo; Cajić, Milan; Paunović, Stepa; Adhikari, Sondipon

doi:10.1016/j.cnsns.2020.105394

Journal article 874 views

Nonlinear energy harvester with coupled Duffing oscillators

Danilo Karlicic

, Milan Cajić, Stepa Paunović, Sondipon Adhikari

Communications in Nonlinear Science and Numerical Simulation, Volume: 91, Start page: 105394

Swansea University Authors: Danilo Karlicic , Sondipon Adhikari

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DOI (Published version): 10.1016/j.cnsns.2020.105394

Abstract

Structural vibrations are very common in aerospace and mechanical engineering systems, where dynamic analysis of modern aerospace structures and industrial machines has become an indispensable step in their design. Suppression of unwanted vibrations and their exploitation for energy harvesting at th...

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Published in:	Communications in Nonlinear Science and Numerical Simulation
ISSN:	1007-5704
Published:	Elsevier BV 2020
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa54561
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first_indexed	2020-06-29T08:33:48Z
last_indexed	2020-10-23T03:07:10Z
id	cronfa54561
recordtype	SURis
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spelling	2020-10-22T15:30:53.7415806 v2 54561 2020-06-29 Nonlinear energy harvester with coupled Duffing oscillators d99ee591771c238aab350833247c8eb9 0000-0002-7547-9293 Danilo Karlicic Danilo Karlicic true false 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2020-06-29 EEN Structural vibrations are very common in aerospace and mechanical engineering systems, where dynamic analysis of modern aerospace structures and industrial machines has become an indispensable step in their design. Suppression of unwanted vibrations and their exploitation for energy harvesting at the same time would be the most desirable scenario. The dynamical system presented in this communication is based on a discrete model of energy harvesting device realized in such a manner as to achieve both vibration suppression and harvesting of vibration energy by introducing the nonlinear energy sink concept. The mechanical model is formed as a two-degree of freedom nonlinear oscillator with an oscillating magnet and harmonic base excitation. The corresponding mathematical model is based on the system of nonlinear nonhomogeneous Duffing type differential equations. To explore complex dynamical behaviour of the presented model, periodic solutions and their bifurcations are found by using the incremental harmonic balance (IHB) and continuation methods. For the detection of unstable periodic orbits, the Floquet theory is applied and an interesting harmonic response of the presented nonlinear dynamical model is detected. The main advantage of the presented approach is its ability to obtain approximated periodic responses in terms of Fourier series and estimate the voltage output of an energy harvester for a system with strong nonlinearity. The accuracy of the presented methodology is verified by comparing the results obtained in this work with those obtained by a standard numerical integration method and results from the literature. Numerical examples show the effects of different physical parameters on amplitude-frequency, response amplitude - base amplitude and time response curves, where a qualitative change is explored and studied in detail. Presented theoretical results demonstrate that the proposed system has advanced performance in both system requirements - vibration suppression, and energy harvesting. Journal Article Communications in Nonlinear Science and Numerical Simulation 91 105394 Elsevier BV 1007-5704 Nonlinear vibrations, Energy harvesting, Base amplitude, Force responses, Nonlinear energy sink, Energy localization, Incremental harmonic balance method, Continuation technique 1 12 2020 2020-12-01 10.1016/j.cnsns.2020.105394 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2020-10-22T15:30:53.7415806 2020-06-29T09:31:55.3656865 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Danilo Karlicic 0000-0002-7547-9293 1 Milan Cajić 2 Stepa Paunović 3 Sondipon Adhikari 4
title	Nonlinear energy harvester with coupled Duffing oscillators
spellingShingle	Nonlinear energy harvester with coupled Duffing oscillators Danilo Karlicic Sondipon Adhikari
title_short	Nonlinear energy harvester with coupled Duffing oscillators
title_full	Nonlinear energy harvester with coupled Duffing oscillators
title_fullStr	Nonlinear energy harvester with coupled Duffing oscillators
title_full_unstemmed	Nonlinear energy harvester with coupled Duffing oscillators
title_sort	Nonlinear energy harvester with coupled Duffing oscillators
author_id_str_mv	d99ee591771c238aab350833247c8eb9 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv	d99ee591771c238aab350833247c8eb9_*_Danilo Karlicic 4ea84d67c4e414f5ccbd7593a40f04d3_*_Sondipon Adhikari
author	Danilo Karlicic Sondipon Adhikari
author2	Danilo Karlicic Milan Cajić Stepa Paunović Sondipon Adhikari
format	Journal article
container_title	Communications in Nonlinear Science and Numerical Simulation
container_volume	91
container_start_page	105394
publishDate	2020
institution	Swansea University
issn	1007-5704
doi_str_mv	10.1016/j.cnsns.2020.105394
publisher	Elsevier BV
college_str	Faculty of Science and Engineering
hierarchytype
hierarchy_top_id	facultyofscienceandengineering
hierarchy_top_title	Faculty of Science and Engineering
hierarchy_parent_id	facultyofscienceandengineering
hierarchy_parent_title	Faculty of Science and Engineering
department_str	School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str	0
active_str	0
description	Structural vibrations are very common in aerospace and mechanical engineering systems, where dynamic analysis of modern aerospace structures and industrial machines has become an indispensable step in their design. Suppression of unwanted vibrations and their exploitation for energy harvesting at the same time would be the most desirable scenario. The dynamical system presented in this communication is based on a discrete model of energy harvesting device realized in such a manner as to achieve both vibration suppression and harvesting of vibration energy by introducing the nonlinear energy sink concept. The mechanical model is formed as a two-degree of freedom nonlinear oscillator with an oscillating magnet and harmonic base excitation. The corresponding mathematical model is based on the system of nonlinear nonhomogeneous Duffing type differential equations. To explore complex dynamical behaviour of the presented model, periodic solutions and their bifurcations are found by using the incremental harmonic balance (IHB) and continuation methods. For the detection of unstable periodic orbits, the Floquet theory is applied and an interesting harmonic response of the presented nonlinear dynamical model is detected. The main advantage of the presented approach is its ability to obtain approximated periodic responses in terms of Fourier series and estimate the voltage output of an energy harvester for a system with strong nonlinearity. The accuracy of the presented methodology is verified by comparing the results obtained in this work with those obtained by a standard numerical integration method and results from the literature. Numerical examples show the effects of different physical parameters on amplitude-frequency, response amplitude - base amplitude and time response curves, where a qualitative change is explored and studied in detail. Presented theoretical results demonstrate that the proposed system has advanced performance in both system requirements - vibration suppression, and energy harvesting.
published_date	2020-12-01T04:08:10Z
_version_	1763753581153878016
score	11.037319

Nonlinear energy harvester with coupled Duffing oscillators

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