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Mathematical Modeling and Optimization of Complex Structures pp 131–151Cite as

Dynamic Analysis for Axially Moving Viscoelastic Poynting–Thomson Beams

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Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 40))

Abstract

This paper is concerned with dynamic characteristics of axially moving beams with the standard linear solid type material viscoelasticity. We consider the Poynting–Thomson version of the standard linear solid model and present the dynamic equations for the axially moving viscoelastic beam assuming that out-of-plane displacements are small. Characteristic behaviour of the beam is investigated by a classical dynamic analysis, i.e., we find the eigenvalues with respect to the beam velocity. With the help of this analysis, we determine the type of instability and detect how the behaviour of the beam changes from stable to unstable.

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Acknowledgments

This research was supported by the Jenny and Antti Wihuri Foundation and the Finnish Cultural Foundation.

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Authors and Affiliations

  1. Department of Mathematical Information Technology, University of Jyväskylä, P.O. Box 35 (Agora), FI-40014, Jyväskylä, Finland

    Tytti Saksa & Juha Jeronen

Authors
  1. Tytti Saksa
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  2. Juha Jeronen
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Corresponding author

Correspondence to Tytti Saksa .

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Editors and Affiliations

  1. Mathematical Information Technology, University of Jyväskylä, Jyväskylä, Finland

    Pekka Neittaanmäki

  2. Mathematical Information Technology, University of Jyväskylä, Jyväskylä, Finland

    Sergey Repin

  3. Mathematical Information Technology, University of Jyväskylä, Jyväskylä, Finland

    Tero Tuovinen

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Saksa, T., Jeronen, J. (2016). Dynamic Analysis for Axially Moving Viscoelastic Poynting–Thomson Beams. In: Neittaanmäki, P., Repin, S., Tuovinen, T. (eds) Mathematical Modeling and Optimization of Complex Structures. Computational Methods in Applied Sciences, vol 40. Springer, Cham. https://doi.org/10.1007/978-3-319-23564-6_9

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  • DOI: https://doi.org/10.1007/978-3-319-23564-6_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23563-9

  • Online ISBN: 978-3-319-23564-6

  • eBook Packages: EngineeringEngineering (R0)

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