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Stick-slip vibration of a moving oscillator on an axially flexible beam

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Abstract

This study investigates the stick-slip vibration between an axially flexible beam fixed at both ends and an oscillator moving on the beam. After deriving the equations of motion for the stick and slip states, the stick-slip vibrations between the oscillator and the beam are analyzed. In addition, to obtain the irregularly changed contact position due to the axial deformation of the beam and oscillator movement, a mathematical expression for the contact position is derived. It is found that the long-period stick-slip vibration is influenced mainly by the oscillator and the short-period vibration is influenced mainly by axial deformation of the beam. Furthermore, the dynamic responses show that even if a high damping ratio is applied to the oscillator, stick-slip vibration due to axial deformation of the beam can occur. Finally, the analysis shows that a kind of the internal resonance occurs between the oscillator and the beam when the harmonics of the natural frequency of the oscillator match the natural frequencies of the beam.

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Acknowledgments

This work was supported by a National Research Foundation of Korea (NRF) grant funded by the Korean government (MEST) (NRF-2018R1D1A1B07050187).

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Authors and Affiliations

  1. Department of Mechanical Engineering, Hanyang University, 55, Hanyangdaehak-ro, Sangrok-gu, Ansan-si, Gyeonggi-do, 425-791, Korea

    Jun-gi Hong, Jaewon Kim & Jintai Chung

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  1. Jun-gi Hong
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  2. Jaewon Kim
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  3. Jintai Chung
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Correspondence to Jintai Chung.

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Recommended by Editor No-cheol Park

Jun-gi Hong received his B.S. degree in 2012 from the Department of Mechanical Engineering at Hanyang University. He is currently a Ph.D. candidate in the Department of Mechanical Engineering at Hanyang University. His research interests are the stick-slip vibration of mechanical systems with a relative motion and BSR noise reductions of vehicles and home appliances.

Jaewon Kim received his B.S. degree in 2012 and Ph.D. degree in 2019 from the Department of Mechanical Engineering at Hanyang University. His research interests are the dynamics of robot manipulator and the vibration and noise reductions of rotating machines and vehicles.

Jintai Chung received his B.S. and M.S. degrees from the Department of Mechanical Engineering at Seoul National University in 1984 and 1986, respectively. He obtained his Ph.D. degree from the Department of Mechanical Engineering at University of Michigan, Ann Arbor in 1992. He is currently a Professor in the Department of Mechanical Engineering at Hanyang University. His research interests are vibration and noise reductions of rotating machines, vehicles and home appliances.

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Hong, Jg., Kim, J. & Chung, J. Stick-slip vibration of a moving oscillator on an axially flexible beam. J Mech Sci Technol 34, 541–553 (2020). https://doi.org/10.1007/s12206-020-0102-y

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  • DOI: https://doi.org/10.1007/s12206-020-0102-y

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