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The Estimation of Dynamic Stress and Strain in Beams, Plates and Shells Using Strain-Velocity Relationships

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IUTAM Symposium on Statistical Energy Analysis

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 67))

Abstract

This paper reviews recent research into the development of simple relationships between mean-square dynamic strain and vibrational velocity for the estimation of maximum dynamic strain levels in randomly vibrating structures. These relationships provide a consistent approach with a firm theoretical basis for the estimation of dynamic strain from vibrational velocity in all types of structures, independent of the type of structural element (beam, plate or cylindrical shell) and the frequencies of excitation (resonant, non-resonant, multi-modal or broad-band vibration in the low-, mid- and high-frequency ranges). The relationships developed are based on farfield relationships, factors for the effects of evanescent waves, and correlations between the spatial maxima of dynamic strain and velocity.

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References

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© 1999 Springer Science+Business Media Dordrecht

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Karczub, D.G., Norton, M.P. (1999). The Estimation of Dynamic Stress and Strain in Beams, Plates and Shells Using Strain-Velocity Relationships. In: Fahy, F.J., Price, W.G. (eds) IUTAM Symposium on Statistical Energy Analysis. Solid Mechanics and Its Applications, vol 67. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9173-7_16

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  • DOI: https://doi.org/10.1007/978-94-015-9173-7_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5131-8

  • Online ISBN: 978-94-015-9173-7

  • eBook Packages: Springer Book Archive

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