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Influence of Circumferential Discontinuity of an Elastic Foundation on the Nonlinear Dynamics of Cylindrical Shells with Functionally Graded Material

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Advances in Nonlinear Dynamics

Part of the book series: NODYCON Conference Proceedings Series ((NCPS))

Abstract

In this paper, the nonlinear dynamic behavior of functionally graded (FG) cylindrical shells on an elastic foundation with circumferential discontinuity is investigated. For this, a reduced-order model is deduced from the perturbation method to describe the transversal displacement field that considers the influence of circumferential discontinuity of the elastic foundation. The vibration modes that have most influence on the linear response of problem are used as an initial solution of the perturbation method to obtain the reduced-order model. Nonlinear equations of motion are obtained employing Donnell’s nonlinear theory and the differential equations are discretized using the Galerkin method. A parametric analysis of the resonance curves of the FG cylindrical shell is performed, showing the influence of discontinuity on the nonlinear oscillations of FG cylindrical shells.

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Author information

Authors and Affiliations

  1. Federal University of Goiás, Av. Universitária, Goiás, Brazil

    Jonathas K. A. Pereiria, Renata M. Soares & Frederico M. A. Silva

  2. Pontifical Catholic University, Rio de Janeiro, Brazil

    Paulo B. Gonçalves

Authors
  1. Jonathas K. A. Pereiria
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  2. Renata M. Soares
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  3. Frederico M. A. Silva
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  4. Paulo B. Gonçalves
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Corresponding author

Correspondence to Frederico M. A. Silva .

Editor information

Editors and Affiliations

  1. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Rome, Italy

    Walter Lacarbonara

  2. Department of Mechanical Engineering, University of Maryland, College Park, MD, USA

    Balakumar Balachandran

  3. Department of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA

    Michael J. Leamy

  4. Department of Physics, Lanzhou University of Technology, Lanzhou, Gansu, China

    Jun Ma

  5. ISEP-Institute of Engineering, Polytechnic of Porto, Porto, Portugal

    J. A. Tenreiro Machado

  6. Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, Hungary

    Gabor Stepan

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Pereiria, J.K.A., Soares, R.M., Silva, F.M.A., Gonçalves, P.B. (2022). Influence of Circumferential Discontinuity of an Elastic Foundation on the Nonlinear Dynamics of Cylindrical Shells with Functionally Graded Material. In: Lacarbonara, W., Balachandran, B., Leamy, M.J., Ma, J., Tenreiro Machado, J.A., Stepan, G. (eds) Advances in Nonlinear Dynamics. NODYCON Conference Proceedings Series. Springer, Cham. https://doi.org/10.1007/978-3-030-81162-4_15

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  • DOI: https://doi.org/10.1007/978-3-030-81162-4_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-81161-7

  • Online ISBN: 978-3-030-81162-4

  • eBook Packages: EngineeringEngineering (R0)

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