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Analytical, numerical and experimental observation of isolated branches of periodic orbits in 1DOF mechanical parametric oscillator

dc.authorid Kudra, Grzegorz/0000-0003-0209-4664
dc.authorid Awrejcewicz, Jan/0000-0003-0387-921X
dc.authorid Junaid U Rehman, Muhammad/0000-0003-2873-5095
dc.authorid Witkowski, Krzysztof/0000-0003-1214-0708
dc.authorscopusid 57220583847
dc.authorscopusid 56197698700
dc.authorscopusid 36195290100
dc.authorscopusid 22952517000
dc.authorscopusid 15622742900
dc.authorscopusid 7007114678
dc.authorwosid Junaid U Rehman, Muhammad/Kmx-2465-2024
dc.authorwosid Wasilewski, Grzegorz/R-4374-2018
dc.authorwosid Jarad, Fahd/T-8333-2018
dc.authorwosid Kudra, Grzegorz/H-5456-2011
dc.authorwosid Awrejcewicz, Jan/G-9123-2018
dc.contributor.author Junaid-U-Rehman, Muhammad
dc.contributor.author Kudra, Grzegorz
dc.contributor.author Witkowski, Krzysztof
dc.contributor.author Wasilewski, Grzegorz
dc.contributor.author Jarad, Fahd
dc.contributor.author Awrejcewicz, Jan
dc.contributor.authorID 234808 tr_TR
dc.contributor.other Matematik
dc.date.accessioned 2024-05-28T13:28:04Z
dc.date.available 2024-05-28T13:28:04Z
dc.date.issued 2024
dc.department Çankaya University en_US
dc.department-temp [Junaid-U-Rehman, Muhammad; Kudra, Grzegorz; Witkowski, Krzysztof; Wasilewski, Grzegorz; Awrejcewicz, Jan] Lodz Univ Technol, Dept Automat Biomech & Mechatron, 1-15 Stefanowski St, PL-90537 Lodz, Poland; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkiye; [Jarad, Fahd] Gulf Univ Sci & Technol, Ctr Appl Math & Bioinformat, Mubarak Al Abdullah, Kuwait en_US
dc.description Kudra, Grzegorz/0000-0003-0209-4664; Awrejcewicz, Jan/0000-0003-0387-921X; Junaid U Rehman, Muhammad/0000-0003-2873-5095; Witkowski, Krzysztof/0000-0003-1214-0708 en_US
dc.description.abstract The aim of this study is to investigate the dynamic properties of an existing experimental stand of 1DOF mechanical parametric oscillator, with a focus on approximate analytical solutions of the observed isolated branches of periodic orbits. The experimental stand involves a cart moving along a rolling guide, with the stiffness consisting of two components: a time-varying linear element created by a rotating rod with a rectangular cross-section and a nonlinear hardening stiffness caused by magnetic springs. It was demonstrated that a rolling bearing's nonlinear resistance to motion consists of viscous damping and a second component analytically compared to dry friction. The study utilises multiple scales and harmonic balancing methods to provide analytical solutions. It is then successfully validated using numerical simulations and experimental data. The study investigates how dry friction influences oscillator response and applies the modified Mathieu-Duffing equation to represent the system's dynamics. Different branches of periodic orbits are researched to determine their function in energy harvesting and mechanical system improvement. This research demonstrates the distinctions across analytical, numerical, and experimental methodologies, providing a comprehensive understanding of investigating intricate nonlinear systems. en_US
dc.description.publishedMonth 8
dc.description.sponsorship National Agency for Academic Exchange; CADET Academy of the Lodz University of Technology en_US
dc.description.sponsorship Doctoral candidate Muhammad Junaid-U-Rehman wrote this publication as a contribution to a project by the National Agency for Academic Exchange under the "STER"Programme, which aims to internationalise doctoral schools. The project is specifically focused on developing a curriculum for advanced doctoral education and training, known as the CADET Academy of the Lodz University of Technology. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.citation Junaid-U-Rehman, Muhammad...et al. (2024). "Analytical, numerical and experimental observation of isolated branches of periodic orbits in 1DOF mechanical parametric oscillator", Journal of Sound and Vibration, Vol. 584. en_US
dc.identifier.doi 10.1016/j.jsv.2024.118454
dc.identifier.issn 0022-460X
dc.identifier.issn 1095-8568
dc.identifier.scopus 2-s2.0-85191659196
dc.identifier.scopusquality Q1
dc.identifier.uri https://doi.org/10.1016/j.jsv.2024.118454
dc.identifier.volume 584 en_US
dc.identifier.wos WOS:001332471700001
dc.identifier.wosquality Q1
dc.institutionauthor Jarad, Fahd
dc.language.iso en en_US
dc.publisher Academic Press Ltd- Elsevier Science Ltd en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 3
dc.subject Parametric Oscillator en_US
dc.subject Dry Friction en_US
dc.subject Analytical Solutions en_US
dc.subject Multiple Scales Technique (Mms) en_US
dc.subject Harmonic Balance Approach (Hbm) en_US
dc.subject Mathieu-Duffing Oscillator en_US
dc.title Analytical, numerical and experimental observation of isolated branches of periodic orbits in 1DOF mechanical parametric oscillator tr_TR
dc.title Analytical, Numerical and Experimental Observation of Isolated Branches of Periodic Orbits in 1dof Mechanical Parametric Oscillator en_US
dc.type Article en_US
dc.wos.citedbyCount 2
dspace.entity.type Publication
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relation.isAuthorOfPublication.latestForDiscovery c818455d-5734-4abd-8d29-9383dae37406
relation.isOrgUnitOfPublication 26a93bcf-09b3-4631-937a-fe838199f6a5
relation.isOrgUnitOfPublication.latestForDiscovery 26a93bcf-09b3-4631-937a-fe838199f6a5

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