Fractional Visco-Elastic Euler-Bernoulli Beam

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Abstract

Aim of this paper is the response evaluation of fractional visco-elastic Euler-Bernoulli beam under quasi-static and dynamic loads. Starting from the local fractional visco-elastic relationship between axial stress and axial strain, it is shown that bending moment, curvature, shear, and the gradient of curvature involve fractional operators. Solution of particular example problems are studied in detail providing a correct position of mechanical boundary conditions. Moreover, it is shown that, for homogeneous beam both correspondence principles also hold in the case of Euler-Bernoulli beam with fractional constitutive law. Virtual work principle is also derived and applied to some case studies.
Original languageEnglish
Pages (from-to)3505-3510
Number of pages6
JournalInternational Journal of Solids and Structures
Volume50
Publication statusPublished - 2013

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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