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Turning Around a Method of Successive Iterations to Yield Closed-Form Solutions for Vibrating Inhomogeneous Bars

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Abstract

In this study, the method of successive approximations is turned around so as to obtain closed form solutions for vibrating inhomogeneous bars. In particular, the method recently developed by the first author for the homogeneous beams is extended for bars.

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References

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Authors and Affiliations

  1. Department of Mechanical Engineering, Florida Atlantic University, Boca Raton, Fl, 33431-0991

    Isaac Elishakoff

  2. Faculty of Aerospace Engineering, Technion-Israel Institute of Technology, Haifa, 32000, Israel

    Menahem Baruch

  3. Laboratoire de Recherches et Applications en Mécanique Avancée, Institut Francais Mécanique Avancée, 63175, Aubière, France

    Roland Becquet

Authors
  1. Isaac Elishakoff
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  2. Menahem Baruch
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  3. Roland Becquet
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Elishakoff, I., Baruch, M. & Becquet, R. Turning Around a Method of Successive Iterations to Yield Closed-Form Solutions for Vibrating Inhomogeneous Bars. Meccanica 36, 573–586 (2001). https://doi.org/10.1023/A:1015645024617

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  • DOI: https://doi.org/10.1023/A:1015645024617

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