No Cover Image

Journal article 21308 views 361 downloads

Nonlinear superharmonic resonance analysis of a nonlocal beam on a fractional visco-Pasternak foundation

Nikola Nešić, Milan Cajić, Danilo Karlicic Orcid Logo, Goran Janevski

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Volume: 235, Issue: 20, Start page: 095440622093632

Swansea University Author: Danilo Karlicic Orcid Logo

Check full text

DOI (Published version): 10.1177/0954406220936322

Abstract

This paper investigates the dynamic behavior of a geometrically nonlinear nanobeam resting on the fractional visco-Pasternak foundation and subjected to dynamic axial and transverse loads. The fractional-order governing equation of the system is derived and then discretized by using the single-mode...

Full description

Published in: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
ISSN: 0954-4062 2041-2983
Published: SAGE Publications 2020
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa54763
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2020-07-16T11:38:50Z
last_indexed 2021-12-07T04:09:36Z
id cronfa54763
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2021-12-06T16:13:29.8038537</datestamp><bib-version>v2</bib-version><id>54763</id><entry>2020-07-16</entry><title>Nonlinear superharmonic resonance analysis of a nonlocal beam on a fractional visco-Pasternak foundation</title><swanseaauthors><author><sid>d99ee591771c238aab350833247c8eb9</sid><ORCID>0000-0002-7547-9293</ORCID><firstname>Danilo</firstname><surname>Karlicic</surname><name>Danilo Karlicic</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2020-07-16</date><deptcode>EEN</deptcode><abstract>This paper investigates the dynamic behavior of a geometrically nonlinear nanobeam resting on the fractional visco-Pasternak foundation and subjected to dynamic axial and transverse loads. The fractional-order governing equation of the system is derived and then discretized by using the single-mode Galerkin discretization. Corresponding forced Mathieu-Duffing equation is solved by using the perturbation multiple time scales method for the weak nonlinearity and by the semi-numerical incremental harmonic balance method for the strongly nonlinear case. A comparison of the results from two methods is performed in the validation study for the weakly nonlinear case and a fine agreement is achieved. A parametric study is performed and the advantages and deficiencies of each method are discussed for order two and three superharmonic resonance conditions. The results demonstrate a significant influence of the fractional-order damping of the visco-Pasternak foundation as well as the nonlocal parameter and external excitation load on the frequency response of the system. The proposed methodology can be used in pre-design procedures of novel energy harvesting and sensor devices at small scales exhibiting nonlinear dynamic behavior.</abstract><type>Journal Article</type><journal>Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science</journal><volume>235</volume><journalNumber>20</journalNumber><paginationStart>095440622093632</paginationStart><paginationEnd/><publisher>SAGE Publications</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>0954-4062</issnPrint><issnElectronic>2041-2983</issnElectronic><keywords>Nanobeams, nonlocal elasticity, fractional damping, nonlinear vibration, multiple scales method, incremental harmonic balance</keywords><publishedDay>2</publishedDay><publishedMonth>7</publishedMonth><publishedYear>2020</publishedYear><publishedDate>2020-07-02</publishedDate><doi>10.1177/0954406220936322</doi><url/><notes/><college>COLLEGE NANME</college><department>Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>EEN</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2021-12-06T16:13:29.8038537</lastEdited><Created>2020-07-16T12:37:44.9784758</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Engineering and Applied Sciences - Uncategorised</level></path><authors><author><firstname>Nikola</firstname><surname>Ne&#x161;i&#x107;</surname><order>1</order></author><author><firstname>Milan</firstname><surname>Caji&#x107;</surname><order>2</order></author><author><firstname>Danilo</firstname><surname>Karlicic</surname><orcid>0000-0002-7547-9293</orcid><order>3</order></author><author><firstname>Goran</firstname><surname>Janevski</surname><order>4</order></author></authors><documents><document><filename>54763__17832__73ad077ffa7248a9b367f39fcabbcaca.pdf</filename><originalFilename>54763.pdf</originalFilename><uploaded>2020-08-03T13:44:46.6985587</uploaded><type>Output</type><contentLength>1559509</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><copyrightCorrect>true</copyrightCorrect><language>English</language></document></documents><OutputDurs/></rfc1807>
spelling 2021-12-06T16:13:29.8038537 v2 54763 2020-07-16 Nonlinear superharmonic resonance analysis of a nonlocal beam on a fractional visco-Pasternak foundation d99ee591771c238aab350833247c8eb9 0000-0002-7547-9293 Danilo Karlicic Danilo Karlicic true false 2020-07-16 EEN This paper investigates the dynamic behavior of a geometrically nonlinear nanobeam resting on the fractional visco-Pasternak foundation and subjected to dynamic axial and transverse loads. The fractional-order governing equation of the system is derived and then discretized by using the single-mode Galerkin discretization. Corresponding forced Mathieu-Duffing equation is solved by using the perturbation multiple time scales method for the weak nonlinearity and by the semi-numerical incremental harmonic balance method for the strongly nonlinear case. A comparison of the results from two methods is performed in the validation study for the weakly nonlinear case and a fine agreement is achieved. A parametric study is performed and the advantages and deficiencies of each method are discussed for order two and three superharmonic resonance conditions. The results demonstrate a significant influence of the fractional-order damping of the visco-Pasternak foundation as well as the nonlocal parameter and external excitation load on the frequency response of the system. The proposed methodology can be used in pre-design procedures of novel energy harvesting and sensor devices at small scales exhibiting nonlinear dynamic behavior. Journal Article Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 235 20 095440622093632 SAGE Publications 0954-4062 2041-2983 Nanobeams, nonlocal elasticity, fractional damping, nonlinear vibration, multiple scales method, incremental harmonic balance 2 7 2020 2020-07-02 10.1177/0954406220936322 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2021-12-06T16:13:29.8038537 2020-07-16T12:37:44.9784758 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Nikola Nešić 1 Milan Cajić 2 Danilo Karlicic 0000-0002-7547-9293 3 Goran Janevski 4 54763__17832__73ad077ffa7248a9b367f39fcabbcaca.pdf 54763.pdf 2020-08-03T13:44:46.6985587 Output 1559509 application/pdf Accepted Manuscript true true English
title Nonlinear superharmonic resonance analysis of a nonlocal beam on a fractional visco-Pasternak foundation
spellingShingle Nonlinear superharmonic resonance analysis of a nonlocal beam on a fractional visco-Pasternak foundation
Danilo Karlicic
title_short Nonlinear superharmonic resonance analysis of a nonlocal beam on a fractional visco-Pasternak foundation
title_full Nonlinear superharmonic resonance analysis of a nonlocal beam on a fractional visco-Pasternak foundation
title_fullStr Nonlinear superharmonic resonance analysis of a nonlocal beam on a fractional visco-Pasternak foundation
title_full_unstemmed Nonlinear superharmonic resonance analysis of a nonlocal beam on a fractional visco-Pasternak foundation
title_sort Nonlinear superharmonic resonance analysis of a nonlocal beam on a fractional visco-Pasternak foundation
author_id_str_mv d99ee591771c238aab350833247c8eb9
author_id_fullname_str_mv d99ee591771c238aab350833247c8eb9_***_Danilo Karlicic
author Danilo Karlicic
author2 Nikola Nešić
Milan Cajić
Danilo Karlicic
Goran Janevski
format Journal article
container_title Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
container_volume 235
container_issue 20
container_start_page 095440622093632
publishDate 2020
institution Swansea University
issn 0954-4062
2041-2983
doi_str_mv 10.1177/0954406220936322
publisher SAGE Publications
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 1
active_str 0
description This paper investigates the dynamic behavior of a geometrically nonlinear nanobeam resting on the fractional visco-Pasternak foundation and subjected to dynamic axial and transverse loads. The fractional-order governing equation of the system is derived and then discretized by using the single-mode Galerkin discretization. Corresponding forced Mathieu-Duffing equation is solved by using the perturbation multiple time scales method for the weak nonlinearity and by the semi-numerical incremental harmonic balance method for the strongly nonlinear case. A comparison of the results from two methods is performed in the validation study for the weakly nonlinear case and a fine agreement is achieved. A parametric study is performed and the advantages and deficiencies of each method are discussed for order two and three superharmonic resonance conditions. The results demonstrate a significant influence of the fractional-order damping of the visco-Pasternak foundation as well as the nonlocal parameter and external excitation load on the frequency response of the system. The proposed methodology can be used in pre-design procedures of novel energy harvesting and sensor devices at small scales exhibiting nonlinear dynamic behavior.
published_date 2020-07-02T04:08:30Z
_version_ 1763753602135883776
score 11.036706

Similar Items