The digital twin of discrete dynamic systems: Initial approaches and future challenges

Ganguli, R.; Adhikari, Sondipon

doi:10.1016/j.apm.2019.09.036

Journal article 862 views 595 downloads

The digital twin of discrete dynamic systems: Initial approaches and future challenges

R. Ganguli, Sondipon Adhikari

Applied Mathematical Modelling

Swansea University Author: Sondipon Adhikari

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© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
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DOI (Published version): 10.1016/j.apm.2019.09.036

Abstract

This paper employs a discrete damped dynamic system to investigate the emerging concept of a digital twin. Dynamic systems are well understood across engineering and science domains, and represent a familiar and convenient platform for exploring the various aspects of a digital twin design. The aim...

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Published in:	Applied Mathematical Modelling
ISSN:	0307-904X
Published:	2019
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa52362
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first_indexed	2019-10-07T20:23:57Z
last_indexed	2021-01-20T04:15:01Z
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spelling	2021-01-19T09:05:53.7488428 v2 52362 2019-10-07 The digital twin of discrete dynamic systems: Initial approaches and future challenges 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2019-10-07 FGSEN This paper employs a discrete damped dynamic system to investigate the emerging concept of a digital twin. Dynamic systems are well understood across engineering and science domains, and represent a familiar and convenient platform for exploring the various aspects of a digital twin design. The aim is to create a framework accessible to engineering sciences related to the aerospace, electrical, mechanical and computational area. The virtual model of the physical system is expressed as a differential equation in two-time scales, with the concept of a slow time being used to separate the evolution of the system properties from the instantaneous time. Cases involving stiffness variation and mass variation are considered, individually and together. It is assumed that the damped natural frequency and the time response are measured through sensors placed on the physical system. Issues of errors and reduced sampling rate in sensor measurements on the digital twin are investigated. The digital twin is expressed as an analytical solution through closed-form expressions and the effect of sensor errors is brought out through the simulations. Several key concepts introduced in this paper are summarized and ideas for urgent future research needs are proposed. The current work breaks free from the qualitative description of digital twins pervading the literature and can be used as benchmark solutions to validate digital twin of experimental dynamic systems and their implementation using sensors, the internet of things and deployment on the cloud computing systems. Journal Article Applied Mathematical Modelling 0307-904X Digital twin, vibration, response, frequency, modeling 31 12 2019 2019-12-31 10.1016/j.apm.2019.09.036 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2021-01-19T09:05:53.7488428 2019-10-07T14:19:32.7776089 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised R. Ganguli 1 Sondipon Adhikari 2 52362__15497__4962019369364468b12ec7fd214e5237.pdf ganguli2019.pdf 2019-10-07T14:21:49.0130000 Output 1221957 application/pdf Accepted Manuscript true 2020-09-27T00:00:00.0000000 © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ false eng
title	The digital twin of discrete dynamic systems: Initial approaches and future challenges
spellingShingle	The digital twin of discrete dynamic systems: Initial approaches and future challenges Sondipon Adhikari
title_short	The digital twin of discrete dynamic systems: Initial approaches and future challenges
title_full	The digital twin of discrete dynamic systems: Initial approaches and future challenges
title_fullStr	The digital twin of discrete dynamic systems: Initial approaches and future challenges
title_full_unstemmed	The digital twin of discrete dynamic systems: Initial approaches and future challenges
title_sort	The digital twin of discrete dynamic systems: Initial approaches and future challenges
author_id_str_mv	4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv	4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author	Sondipon Adhikari
author2	R. Ganguli Sondipon Adhikari
format	Journal article
container_title	Applied Mathematical Modelling
publishDate	2019
institution	Swansea University
issn	0307-904X
doi_str_mv	10.1016/j.apm.2019.09.036
college_str	Faculty of Science and Engineering
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hierarchy_top_id	facultyofscienceandengineering
hierarchy_top_title	Faculty of Science and Engineering
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department_str	School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str	1
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description	This paper employs a discrete damped dynamic system to investigate the emerging concept of a digital twin. Dynamic systems are well understood across engineering and science domains, and represent a familiar and convenient platform for exploring the various aspects of a digital twin design. The aim is to create a framework accessible to engineering sciences related to the aerospace, electrical, mechanical and computational area. The virtual model of the physical system is expressed as a differential equation in two-time scales, with the concept of a slow time being used to separate the evolution of the system properties from the instantaneous time. Cases involving stiffness variation and mass variation are considered, individually and together. It is assumed that the damped natural frequency and the time response are measured through sensors placed on the physical system. Issues of errors and reduced sampling rate in sensor measurements on the digital twin are investigated. The digital twin is expressed as an analytical solution through closed-form expressions and the effect of sensor errors is brought out through the simulations. Several key concepts introduced in this paper are summarized and ideas for urgent future research needs are proposed. The current work breaks free from the qualitative description of digital twins pervading the literature and can be used as benchmark solutions to validate digital twin of experimental dynamic systems and their implementation using sensors, the internet of things and deployment on the cloud computing systems.
published_date	2019-12-31T04:04:41Z
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score	11.012678

The digital twin of discrete dynamic systems: Initial approaches and future challenges

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