Fractional Visco-Elastic Euler-Bernoulli Beam

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48 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)3505-3510
Numero di pagine6
RivistaInternational Journal of Solids and Structures
Volume50
Stato di pubblicazionePublished - 2013

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Euler-Bernoulli beams
Euler-Bernoulli Beam
Bending moments
Dynamic loads
Fractional
curvature
Boundary conditions
axial stress
static loads
bending moments
dynamic loads
axial strain
Curvature
boundary conditions
shear
Correspondence Principle
operators
gradients
Dynamic Load
evaluation

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cita questo

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title = "Fractional Visco-Elastic Euler-Bernoulli Beam",
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.",
author = "{Di Paola}, Mario and Antonina Pirrotta and Heuer",
year = "2013",
language = "English",
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pages = "3505--3510",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",
publisher = "Elsevier Limited",

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T1 - Fractional Visco-Elastic Euler-Bernoulli Beam

AU - Di Paola, Mario

AU - Pirrotta, Antonina

AU - Heuer, null

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/90943

M3 - Article

VL - 50

SP - 3505

EP - 3510

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

ER -