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Spatial Patterns pp 307–319Cite as

Waves in Nonlinearly Supported Beams

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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 45))

Abstract

The Canonical Equation arises very naturally in models for the dynamics of elastic beams. In situations when the beam rests on an elastic foundation, it leads to an equation that is different from the one analysed in previous chapters in that the potential F(s), which corresponds to the nonlinearity f(s) in the equation, has a single well with only linear growth as s → -∞

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Authors and Affiliations

  1. Mathematical Institute, Leiden University, RA Leiden, 2300, The Netherlands

    L. A. Peletier

  2. Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA

    W. C. Troy

Authors
  1. L. A. Peletier
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  2. W. C. Troy
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© 2001 Birkhäuser Boston

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Peletier, L.A., Troy, W.C. (2001). Waves in Nonlinearly Supported Beams. In: Spatial Patterns. Progress in Nonlinear Differential Equations and Their Applications, vol 45. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-0135-9_10

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  • DOI: https://doi.org/10.1007/978-1-4612-0135-9_10

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  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-4110-8

  • Online ISBN: 978-1-4612-0135-9

  • eBook Packages: Springer Book Archive

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