The University of Southampton
University of Southampton Institutional Repository

Improved modelling of a nonlinear parametrically excited system with electromagnetic excitation

Improved modelling of a nonlinear parametrically excited system with electromagnetic excitation
Improved modelling of a nonlinear parametrically excited system with electromagnetic excitation
In this work, the nonlinear behaviour of a parametrically excited system with electromagnetic excitation is accurately modelled, predicted and experimentally investigated. The equations of motion include both the electromechanical coupling factor and the electromechanical damping. Unlike previous studies where only linear time-varying stiffness due to electromagnetic forces was presented, in this paper the effect of the induced current is studied. As a consequence, nonlinear parameters such as electromechanical damping, cubic stiffness and cubic parametric stiffness have been included in the model. These parameters are also observed experimentally by controlling the direct current (DC) and alternating current (AC) passed through the electromagnets. In fact, the proposed apparatus allows to control both linear and nonlinear stiffnesses and the independent effect of each parameter on the response is presented. In particular the effect of the cubic parametric stiffness on the parametric resonance amplitudes and the influence of cubic stiffness on the frequency bandwidth of the parametric resonance are shown. This model improves the prediction of parametric resonance, frequency bandwidth, and the response amplitude of parametrically excited systems and it may lead to refined design of electromagnetic actuators, filters, amplifiers, vibration~energy harvesters, and magnetic bearings.
157-171
Zaghari, Bahareh
a0537db6-0dce-49a2-8103-0f4599ab5f6a
Rustighi, Emiliano
9544ced4-5057-4491-a45c-643873dfed96
Ghandchi Tehrani, Maryam
c2251e5b-a029-46e2-b585-422120a7bc44
Zaghari, Bahareh
a0537db6-0dce-49a2-8103-0f4599ab5f6a
Rustighi, Emiliano
9544ced4-5057-4491-a45c-643873dfed96
Ghandchi Tehrani, Maryam
c2251e5b-a029-46e2-b585-422120a7bc44

Zaghari, Bahareh, Rustighi, Emiliano and Ghandchi Tehrani, Maryam (2018) Improved modelling of a nonlinear parametrically excited system with electromagnetic excitation. Vibration, 1 (1), 157-171. (doi:10.3390/vibration1010012).

Record type: Article

Abstract

In this work, the nonlinear behaviour of a parametrically excited system with electromagnetic excitation is accurately modelled, predicted and experimentally investigated. The equations of motion include both the electromechanical coupling factor and the electromechanical damping. Unlike previous studies where only linear time-varying stiffness due to electromagnetic forces was presented, in this paper the effect of the induced current is studied. As a consequence, nonlinear parameters such as electromechanical damping, cubic stiffness and cubic parametric stiffness have been included in the model. These parameters are also observed experimentally by controlling the direct current (DC) and alternating current (AC) passed through the electromagnets. In fact, the proposed apparatus allows to control both linear and nonlinear stiffnesses and the independent effect of each parameter on the response is presented. In particular the effect of the cubic parametric stiffness on the parametric resonance amplitudes and the influence of cubic stiffness on the frequency bandwidth of the parametric resonance are shown. This model improves the prediction of parametric resonance, frequency bandwidth, and the response amplitude of parametrically excited systems and it may lead to refined design of electromagnetic actuators, filters, amplifiers, vibration~energy harvesters, and magnetic bearings.

Text
BaharehZaghari - Accepted Manuscript
Available under License Creative Commons Attribution.
Download (1MB)
Text
vibration-01-00012 (1) - Version of Record
Available under License Creative Commons Attribution.
Download (1MB)

More information

Accepted/In Press date: 31 August 2018
e-pub ahead of print date: 4 September 2018

Identifiers

Local EPrints ID: 423209
URI: http://eprints.soton.ac.uk/id/eprint/423209
PURE UUID: e113f2d0-2e42-4d97-88fc-e599ad4fa08c
ORCID for Emiliano Rustighi: ORCID iD orcid.org/0000-0001-9871-7795

Catalogue record

Date deposited: 19 Sep 2018 16:30
Last modified: 12 Dec 2021 03:29

Export record

Altmetrics

Contributors

Author: Bahareh Zaghari

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×