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Advances in Nano Research Volume 18, Number 4, April 2025 , pages 321-335 DOI: https://doi.org/10.12989/anr.2025.18.4.321 |
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Dynamic stability and vibration responses of a volleyball game ball |
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Zhao Daichang, Li Aiyun, Song Zhiqiang, Mostafa Habibi, Ibrahim Albaijan and Lian Wong
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| Abstract | ||
| This study investigates the vibrational response of a graphene oxide-reinforced volleyball under impact loading, aiming to enhance its dynamic stability. Employing Hamilton's principle and spherical shell coordinates, we derive the governing equations for the ball's motion under internal loading. These equations are solved using the generalized differential quadrature (GDQ) method and analytical techniques to analyze the vibrational modes. The results demonstrate a significant correlation between the ball's radius and its dynamic stability, with variations in radius substantially affecting vibrational characteristics. Notably, we find that increased ball mass, independent of size, contributes to enhanced stability upon ground impact. This observation suggests that heavier balls exhibit improved resistance to deformation and vibration, leading to more predictable trajectories. The findings provide a quantitative basis for optimizing volleyball design by elucidating the interplay between material reinforcement, geometry, and impact dynamics, thereby facilitating the development of volleyballs with improved stability and performance. | ||
| Key Words | ||
| ball's radius; GDQM; stability; vibration; volleyball game ball | ||
| Address | ||
| Zhao Daichang and Song Zhiqiang: College of Physical Education, Shandong Sport University, 276826, China Li Aiyun: College of Sports and Health, Shandong Sport University, 276826, China Mostafa Habibi: Universidad UTE, Facultad de Arquitectura y Urbanismo, Calle Rumipamba S/N y Bourgeois, Quito 170147, Ecuador/ Department of Biomaterials, Saveetha Dental College and Hospital, Saveetha Institute of Medical and Technical Sciences, Chennai 600 077, India/ Institute of Research and Development, Duy Tan University, Da Nang 550000, Viet Nam Ibrahim Albaijan: Mechanical Engineering Department, College of Engineering at Al Kharj, Prince Sattam Bin Abdulaziz University, Al Kharj 16273, Saudi Arabia Lian Wong: Institute of Research and Development, Duy Tan University, Da Nang 550000, Viet Nam | ||