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Towards the resolution of the Smith-Herrmann paradox

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Summary.

The counterintuitive behaviors associated with Smith-Herrmann’s columns under follower force and on elastic foundation, as well as the Bernoulli-Euler pipe conveying fluid on a partial elastic foundation, are re-examined. It is shown that treating the pipe as a Timoshenko beam removes, albeit not always, the paradoxical patterns of stability loss.

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Acknowledgments.

G. C. Ruta gratefully acknowledges the support of the “Progetto giovani ricercatori anno 2002” of the University “La Sapienza” of Rome, Italy. The work was performed when G. C. Ruta was a Visiting Assistant Professor at the Mechanical Engineering Department of Florida Atlantic University.

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Authors and Affiliations

  1. Dipartimento di Ingegneria Strutturale e Geotecnica, Università “La Sapienza”, via Eudossiana 18, 00184, Roma, Italy

    G. C. Ruta

  2. Department of Mechanical Engineering, Florida Atlantic University, 777 Glades Road, Boca Raton, FL, 33431-0991, U.S.A

    I. Elishakoff

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  1. G. C. Ruta
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  2. I. Elishakoff
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Correspondence to G. C. Ruta.

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Ruta, G., Elishakoff, I. Towards the resolution of the Smith-Herrmann paradox. Acta Mechanica 173, 89–105 (2004). https://doi.org/10.1007/s00707-004-0182-2

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  • DOI: https://doi.org/10.1007/s00707-004-0182-2

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