Vibro-impact regimes of adamped single-mass system with two fixed stops

This study examines the periodic vibro-impact (VI) behavior of an externally excited system containing mass, spring, and damper, whose rectilinear motion is bounded by two symmetrical stops. Periodic external coercive force is driving the system, with the period of the oscillator being one or propor...

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Main Authors: Garić Ljubiša B., Nešić Nikola D.
Format: Article
Language:English
Published: University of Belgrade - Faculty of Mechanical Engineering, Belgrade 2025-01-01
Series:FME Transactions
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Online Access:https://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2025/1451-20922501131G.pdf
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author Garić Ljubiša B.
Nešić Nikola D.
author_facet Garić Ljubiša B.
Nešić Nikola D.
author_sort Garić Ljubiša B.
collection DOAJ
description This study examines the periodic vibro-impact (VI) behavior of an externally excited system containing mass, spring, and damper, whose rectilinear motion is bounded by two symmetrical stops. Periodic external coercive force is driving the system, with the period of the oscillator being one or proportional to the period of the external coercive force. The resulting differential equation of motion, coupled with boundary conditions, is solved analytically, and solutions are discussed. The study analyses different types of behavior and includes stability analysis. The research findings outline the determination of the conditions (areas) in which periodic VI modes exist for even and odd values of mode multiplicity. Additionally, the results made it possible to determine the frequency interval for the VI process when the distance between fixed stops is known. By investigating the dynamics of the VI system in this work, results were obtained that allow all possible types of motion to be theoretically defined, as well as results that define areas of motion stability, which allows one to find regimes that may exist in practice. The results obtained in this paper can be applied to improving existing and developing new vibro-impact tools and machines.
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issn 1451-2092
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language English
publishDate 2025-01-01
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spelling doaj-art-ceb34feccd7640a38f46ffbc27c3cc132025-08-20T03:01:59ZengUniversity of Belgrade - Faculty of Mechanical Engineering, BelgradeFME Transactions1451-20922406-128X2025-01-0153113114310.5937/fme2501131G1451-20922501131GVibro-impact regimes of adamped single-mass system with two fixed stopsGarić Ljubiša B.0Nešić Nikola D.1University of Priština in Kosovska Mitrovica, Faculty of Technical Sciences, Kosovska Mitrovica, SerbiaUniversity of Priština in Kosovska Mitrovica, Faculty of Technical Sciences, Kosovska Mitrovica, SerbiaThis study examines the periodic vibro-impact (VI) behavior of an externally excited system containing mass, spring, and damper, whose rectilinear motion is bounded by two symmetrical stops. Periodic external coercive force is driving the system, with the period of the oscillator being one or proportional to the period of the external coercive force. The resulting differential equation of motion, coupled with boundary conditions, is solved analytically, and solutions are discussed. The study analyses different types of behavior and includes stability analysis. The research findings outline the determination of the conditions (areas) in which periodic VI modes exist for even and odd values of mode multiplicity. Additionally, the results made it possible to determine the frequency interval for the VI process when the distance between fixed stops is known. By investigating the dynamics of the VI system in this work, results were obtained that allow all possible types of motion to be theoretically defined, as well as results that define areas of motion stability, which allows one to find regimes that may exist in practice. The results obtained in this paper can be applied to improving existing and developing new vibro-impact tools and machines.https://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2025/1451-20922501131G.pdfexternal excitation forcestability analysisvibro-impact modesvibro-impact oscillatorviscous damping force
spellingShingle Garić Ljubiša B.
Nešić Nikola D.
Vibro-impact regimes of adamped single-mass system with two fixed stops
FME Transactions
external excitation force
stability analysis
vibro-impact modes
vibro-impact oscillator
viscous damping force
title Vibro-impact regimes of adamped single-mass system with two fixed stops
title_full Vibro-impact regimes of adamped single-mass system with two fixed stops
title_fullStr Vibro-impact regimes of adamped single-mass system with two fixed stops
title_full_unstemmed Vibro-impact regimes of adamped single-mass system with two fixed stops
title_short Vibro-impact regimes of adamped single-mass system with two fixed stops
title_sort vibro impact regimes of adamped single mass system with two fixed stops
topic external excitation force
stability analysis
vibro-impact modes
vibro-impact oscillator
viscous damping force
url https://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2025/1451-20922501131G.pdf
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