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Enriched Vlasov Beam Model for Nonlinear Dynamic Analysis of Thin-Walled Structures

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Advances in Nonlinear Dynamics

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

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Abstract

This chapter presents the formulation of a three-dimensional beam finite element model with cross-section war** for the analysis of thin-walled structures subjected to dynamic actions. The model is defined according to a displacement approach, where cross-section shear strains are independently interpolated to avoid shear locking. Cross-section out-of-plane deformations are described on the basis of Vlasov’s theory, properly extended to include war** due to shear stresses. The element governing equations are derived by enforcing the stationarity of a Lagrangian functional. Numerical study is presented, and the effects of cross-section war** in thin-walled structures under dynamic loads are investigated.

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Authors and Affiliations

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

    Paolo Di Re, Daniela Addessi & Cristina Gatta

Authors
  1. Paolo Di Re
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  2. Daniela Addessi
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  3. Cristina Gatta
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Corresponding author

Correspondence to Paolo Di Re .

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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Re, P.D., Addessi, D., Gatta, C. (2022). Enriched Vlasov Beam Model for Nonlinear Dynamic Analysis of Thin-Walled Structures. 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_28

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  • DOI: https://doi.org/10.1007/978-3-030-81162-4_28

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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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