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A Composite Wave Model for a Cylindrical Shell

Tipo de material: TextoTextoSeries ; In Recent Developments in the Theory of Shells. Springer, Cham., p.315-328, 2019Trabajos contenidos:
  • Kaplunov, J
  • Erba, B
  • Palsü, M
Tema(s): Recursos en línea: Resumen: A 2D composite wave model is established for a thin elastic cylindrical shell subject to a transverse surface load. It generalises recent authors developments for plate bending, also taking into consideration transverse compression. The long-wave, low-frequency and short-wave, high-frequency limiting behaviours of the composite model correspond to an asymptotic refinement of Kirchhoff Love theory and hyperbolic equations governing Rayleigh wave propagation along shell faces, respectively. In addition, the derived equations of motion enable smoothing a discontinuity at the extension wave front arising in traditional plate and shell theories. At the same time, the proposed approach is not uniformly valid, since it can not be asymptotically justified over the intermediate range, where a typical wavelength is of order shell thickness.
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A 2D composite wave model is established for a thin elastic cylindrical shell subject to a transverse surface load. It generalises recent authors developments for plate bending, also taking into consideration transverse compression. The long-wave, low-frequency and short-wave, high-frequency limiting behaviours of the composite model correspond to an asymptotic refinement of Kirchhoff Love theory and hyperbolic equations governing Rayleigh wave propagation along shell faces, respectively. In addition, the derived equations of motion enable smoothing a discontinuity at the extension wave front arising in traditional plate and shell theories. At the same time, the proposed approach is not uniformly valid, since it can not be asymptotically justified over the intermediate range, where a typical wavelength is of order shell thickness.

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