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Generalized Galileo Galilei problem in interval setting for functionally related loads

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Abstract

In this study, Galileo’s problem, namely that of the design of the bar subjected to axial external load, is generalized in the case when multiple axial loads are applied. The loads are modeled as interval variables to describe the ever existing uncertainty in their values. Modified interval arithmetic operation is suggested so as to reduce overestimation of inner axial loaded and needed safety factors. Special emphasis is placed on the cases in which functional relationships may exist among loads.

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Acknowledgments

This study was conducted when S. Gabriele was a Visiting Associate Professor at the Florida Atlantic University. Their kind and warm hospitality is gratefully acknowledged. I. Elishakoff appreciates the support provided by the Southeast National Marine Renewable Energy Center. Stefano Gabriele thanks Prof. Evgenia D. Popova of Bulgarian Academy of Sciences. Authors are expressing appreciation to Mr. Damien Delbecq of the Advanced French Institute of Mechanics for deriving expression for number of cancellation operations. Authors express their sincere gratitude to anonymous reviewers for their numerous careful comments implementation of which led to elucidation of raised points.

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Authors and Affiliations

  1. Department of Ocean and Mechanical Engineering, Florida Atlantic University, Boca Raton, FL, 33431-0991, USA

    Isaac Elishakoff

  2. Modelling and Simulation Lab (LaMS), Department of Architecture, University “Roma Tre”, Via Madonna dei Monti 40, 00184, Rome, Italy

    Stefano Gabriele

  3. School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, 30332-0405, USA

    Yan Wang

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  1. Isaac Elishakoff
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  2. Stefano Gabriele
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  3. Yan Wang
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Correspondence to Isaac Elishakoff.

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Elishakoff, I., Gabriele, S. & Wang, Y. Generalized Galileo Galilei problem in interval setting for functionally related loads. Arch Appl Mech 86, 1203–1217 (2016). https://doi.org/10.1007/s00419-015-1086-4

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