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Vibration Analysis of Curved Panels and Shell Using Approximate Methods and Determination of Optimum Periodic Angle

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Advances in Mechanical and Power Engineering (CAMPE 2021)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

The goal of this paper is to deduce the lowest free vibration frequency of a curved panel (cylindrical) simply supported edges (SSSS) correspondent to a range of circumferential subtended angles at the center and arriving at optimum angle. Beam functions modes and arbitrary triangular shallow shell finite element (FE) shape functions are used here as displacement functions. Thin shell theory used. Rayleigh-Ritz’s approach is applied to get the solution. It is noticed that in a curved panel there is a distinct subtended angle, where the frequency is lowest. The same frequency is also the lowest in a full shell with axially simply supported ends. This distinct subtended angle is the optimum angle of the curved panel. Panel is called an optimum curved panel. The optimum angle for a curved SSSS panel is determined as well as the lowest frequencies for various a / R and h / R ratios. Optimal angles obtained for curved SSSS panels for a particular geometry are considered to find frequencies for various edge boundary conditions. Further, considering subtended angle of curved panel available in literature which is not optimum for a given geometry, natural frequencies are computed for different edge constraints and different modes (axial and circumferential). Frequencies from present FEM and beam functions modes are compared well with published data. These optimum curved panel (periodic/repeating cells of a complete cylindrical shell) frequencies are useful for comparing the bounding or cutoff frequencies and modes of the periodic shell structure (alike curved panels or cells joined an end-to-end or side-by-side) analysis.

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Authors and Affiliations

  1. Vikram Sarabhai Space Centre, Trivandrum, 695022, India

    Chitaranjan Pany

Authors
  1. Chitaranjan Pany
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Correspondence to Chitaranjan Pany .

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Editors and Affiliations

  1. Fakultät für Maschinenbau, G10/58, Otto-von-Guericke-Universität, Magdeburg, Germany

    Holm Altenbach

  2. School of Engineering, University of Mississippi, Oxford, MS, USA

    Alexander H.-D. Cheng

  3. School of Aeronautics and Astronautics, Dalian University of Technology, Dalian, China

    Xiao-Wei Gao

  4. A. Pidhornyi Institute of Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine

    Аndrii Kostikov

  5. Institute of Fluid-Flow Machinery, Lodz University of Technology, Lodz, Poland

    Wladyslaw Kryllowicz

  6. The Szewalski Institute of fluid-flow machinery of Polish Academy of Sciences, Gdansk, Poland

    Piotr Lampart

  7. Ascend Technologies Limited, Eastleigh, UK

    Viktor Popov

  8. A. Pidhornyi Institute of Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine

    Andrii Rusanov

  9. Wessex Institute of Technology, Southampton, UK

    Stavros Syngellakis

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Pany, C. (2023). Vibration Analysis of Curved Panels and Shell Using Approximate Methods and Determination of Optimum Periodic Angle. In: Altenbach, H., et al. Advances in Mechanical and Power Engineering . CAMPE 2021. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-031-18487-1_36

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  • DOI: https://doi.org/10.1007/978-3-031-18487-1_36

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-18486-4

  • Online ISBN: 978-3-031-18487-1

  • eBook Packages: EngineeringEngineering (R0)

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