https://doi.org/10.1140/epjp/s13360-025-05998-7
Regular Article
Spiky structure in velocity distribution for a ball bouncing on a vertically vibrating plate
1
School of Physics, Harbin Institute of Technology, 150001, Harbin, China
2
School of Mechanical Engineering, Shanghai Jiao Tong University, 200240, Shanghai, China
Received:
27
July
2024
Accepted:
10
January
2025
Published online:
12
February
2025
We present the experimental and numerical results of velocity distribution for a ball bouncing on a vertically vibrating plate. The “spiky” structure is observed in the velocity distribution. According to the “energy” level obtained from the rescaled flight time of the ball, the formation of the “spiky” structure is analyzed, and the width between the spikes can be represented by the width between the mean pre-impact velocity and the mean post-impact velocity on the levels, respectively. We verify that the width is inversely proportional to the vibration frequency of the plate. Additionally, it is demonstrated that the probability density functions of pre-impact velocity and post-impact velocity are described by the Gaussian distribution.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
