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Nonlinear Dynamics of a Planar Hinged-Simply Supported Beam with One End Spring: Higher Order Resonances

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IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems (ENOLIDES 2018)

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 37))

Abstract

The paper addresses the nonlinear dynamics of a hinged simply supported beam with an axial elastic support. The investigation is based on the Multiple Time Scales Method (MTSM) applied directly to the governing partial differential equations of motion, and is focused on the first seven bending resonances of a planar system. The effect of axial spring on hardening/softening phenomena is illustrated. Backbone Curves (BbCs) and Frequency Response Curves (FRCs) for selected cases are shown and compared with their numerical counterpart done with the Finite Element Method (FEM) to cross-checking the reliability of analytical and numerical methods.

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References

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Acknowledgements

This work is part of the collaboration between Polytechnic University of Marche and Lublin University of Technology, which is aimed at developing a Joined Doctoral Programme.

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Authors and Affiliations

  1. Department of Civil and Building Engineering, and Architecture, Polytechnic University of Marche, via Brecce Bianche, 60131, Ancona, Italy

    Lukasz Kloda & Stefano Lenci

  2. Department of Applied Mechanics, Lublin University of Technology, ul. Nadbystrzycka 36, 20-618, Lublin, Poland

    Lukasz Kloda & Jerzy Warminski

Authors
  1. Lukasz Kloda
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  2. Stefano Lenci
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  3. Jerzy Warminski
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Corresponding author

Correspondence to Lukasz Kloda .

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Editors and Affiliations

  1. Centre for Vibro-Acoustic Systems and Signal Processing, Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia

    Ivana Kovacic

  2. Department of Civil and Building Engineering, and Architecture, Polytechnic University of Marche, Ancona, Italy

    Stefano Lenci

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Kloda, L., Lenci, S., Warminski, J. (2020). Nonlinear Dynamics of a Planar Hinged-Simply Supported Beam with One End Spring: Higher Order Resonances. In: Kovacic, I., Lenci, S. (eds) IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems. ENOLIDES 2018. IUTAM Bookseries, vol 37. Springer, Cham. https://doi.org/10.1007/978-3-030-23692-2_14

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  • DOI: https://doi.org/10.1007/978-3-030-23692-2_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-23691-5

  • Online ISBN: 978-3-030-23692-2

  • eBook Packages: EngineeringEngineering (R0)

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