DSpace@Çankaya

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

Basit öğe kaydını göster

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.date.accessioned 2024-05-28T13:28:04Z
dc.date.available 2024-05-28T13:28:04Z
dc.date.issued 2024-08-18
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. tr_TR
dc.identifier.issn 0022-460X
dc.identifier.uri http://hdl.handle.net/20.500.12416/8420
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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.jsv.2024.118454 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Analytical Solutions tr_TR
dc.subject Dry Friction tr_TR
dc.subject Harmonic Balance Approach (HBM) tr_TR
dc.subject Mathieu–Duffing Oscillator tr_TR
dc.subject Multiple Scales Technique (MMS) tr_TR
dc.subject Parametric Oscillator tr_TR
dc.title Analytical, numerical and experimental observation of isolated branches of periodic orbits in 1DOF mechanical parametric oscillator tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Sound and Vibration tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 584 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


Bu öğenin dosyaları:

Dosyalar Boyut Biçim Göster

Bu öğe ile ilişkili dosya yok.

Bu öğe aşağıdaki koleksiyon(lar)da görünmektedir.

Basit öğe kaydını göster