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Quantifying the Effects of Air Pressure on a Vibrating Tensioned Elastic Membrane

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Proceedings of the 9th IRC Conference on Science, Engineering, and Technology (IRC-SET 2023)

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Abstract

The present study aims to investigate the acoustic phenomenon of a spherical rigid-body collision with an elastic membrane stretched over a pressurised air cavity and analyse the effect of the air cavity on the frequencies and relative amplitudes for each mode of vibration of the membrane.

The impact of the ball with the membrane is modelled to obtain the initial acceleration, and we also investigated the effect of the pressurized air cavity on the frequencies produced. We modelled the air loading using Green Functions, and included viscoelastic damping in our equations to solve for the relative amplitudes. Various parameters were investigated, such as membrane tension, ball dimensions, impact conditions and cup length.

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References

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Author information

Authors and Affiliations

  1. Raffles Institution, Singapore, Singapore

    L. V. Jindong

  2. NUS High School of Mathematics and Science, Singapore, Singapore

    Akshat Vijoy

Authors
  1. L. V. Jindong
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  2. Akshat Vijoy
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Corresponding author

Correspondence to Akshat Vijoy .

Editor information

Editors and Affiliations

  1. School of Cyber Science and Technology, Beihang University, Beijing, China

    Jiqiang Lu

  2. Infocomm Technology Cluster, Singapore Institute of Technology, Singapore, Singapore

    Huaqun Guo

  3. Infocomm Technology Cluster, Singapore Institute of Technology, Singapore, Singapore

    Ian McLoughlin

  4. Department of Information Systems Technology and Design, Singapore University of Technology and Design, Singapore, Singapore

    Eyasu Getahun Chekole

  5. International Researchers Club, Singapore, Singapore

    Umayal Lakshmanan

  6. Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark

    Weizhi Meng

  7. Engineering Cluster, Singapore Institute of Technology, Singapore, Singapore

    Peng Cheng Wang

  8. Infocomm Technology Cluster, Singapore Institute of Technology, Singapore, Singapore

    Nicholas Heng Loong Wong

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© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Cite this paper

Jindong, L.V., Vijoy, A. (2023). Quantifying the Effects of Air Pressure on a Vibrating Tensioned Elastic Membrane. In: Lu, J., et al. Proceedings of the 9th IRC Conference on Science, Engineering, and Technology. IRC-SET 2023. Springer, Singapore. https://doi.org/10.1007/978-981-99-8369-8_38

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  • DOI: https://doi.org/10.1007/978-981-99-8369-8_38

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-8368-1

  • Online ISBN: 978-981-99-8369-8

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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