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Stability in Fluid—Structure Interaction of Axially Moving Materials

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Stability of Axially Moving Materials

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 259))

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Abstract

This chapter considers fluid—structure interaction problems, where the vibrations of the structure are the main interest, but its motion is affected by the flow of the surrounding medium, such as air or water. We review some basic concepts of fluid mechanics, and then systematically derive a Green’s function based analytical solution of the flow component of a simple fluid—structure interaction problem in two space dimensions. As the structure component in the fluid—structure interaction problem we consider traveling ideal strings and panels. In the numerical results, we examine bifurcations in the natural frequencies of the coupled system, for strings, and for linear elastic and Kelvin-Voigt viscoelastic panels. Whereas the natural frequencies of the traveling ideal string have no bifurcation points, bifurcations appear in the model with fluid—structure interaction whenever there is an axial free-stream flow.

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Authors and Affiliations

  1. Russian Academy of Sciences, Institute for Problems in Mechanics, Moscow, Russia

    Nikolay Banichuk

  2. State University of Moldova, Chisinau, Moldova

    Alexander Barsuk

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

    Juha Jeronen & Pekka Neittaanmäki

  4. Faculty of Information Technology, University of Jyväskylä, Jyväskylä, Finland

    Tero Tuovinen

Authors
  1. Nikolay Banichuk
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  2. Alexander Barsuk
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  3. Juha Jeronen
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  4. Tero Tuovinen
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  5. Pekka Neittaanmäki
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Correspondence to Nikolay Banichuk .

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Banichuk, N., Barsuk, A., Jeronen, J., Tuovinen, T., Neittaanmäki, P. (2020). Stability in Fluid—Structure Interaction of Axially Moving Materials. In: Stability of Axially Moving Materials. Solid Mechanics and Its Applications, vol 259. Springer, Cham. https://doi.org/10.1007/978-3-030-23803-2_8

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  • DOI: https://doi.org/10.1007/978-3-030-23803-2_8

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