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

dc.contributor.authorJunaid-U-Rehman, Muhammad
dc.contributor.authorKudra, Grzegorz
dc.contributor.authorWitkowski, Krzysztof
dc.contributor.authorWasilewski, Grzegorz
dc.contributor.authorJarad, Fahd
dc.contributor.authorAwrejcewicz, Jan
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-05-28T13:28:04Z
dc.date.available2024-05-28T13:28:04Z
dc.date.issued2024
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe 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.publishedMonth8
dc.identifier.citationJunaid-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.doi10.1016/j.jsv.2024.118454
dc.identifier.issn0022-460X
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8420
dc.identifier.volume584en_US
dc.language.isoenen_US
dc.relation.ispartofJournal of Sound and Vibrationen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAnalytical Solutionsen_US
dc.subjectDry Frictionen_US
dc.subjectHarmonic Balance Approach (HBM)en_US
dc.subjectMathieu–Duffing Oscillatoren_US
dc.subjectMultiple Scales Technique (MMS)en_US
dc.subjectParametric Oscillatoren_US
dc.titleAnalytical, numerical and experimental observation of isolated branches of periodic orbits in 1DOF mechanical parametric oscillatortr_TR
dc.titleAnalytical, Numerical and Experimental Observation of Isolated Branches of Periodic Orbits in 1dof Mechanical Parametric Oscillatoren_US
dc.typeArticleen_US
dspace.entity.typePublication

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