Fractional visco-elastic Euler-Bernoulli beam

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:50

Article

Di Paola, M.¹  Heuer, R.²  Pirrotta, A.¹ 

[1] Univ Palermo, Dipartirnento Ingn Civile Ambientale Aerosp Mat D, Palermo, Italy

[2] Vienna Univ Technol, Ctr Mech & Struct Dynam, A-1040 Vienna, Austria

关键词: Fractional calculus;    Visco-elastic beam;    Euler-Bernoulli beam;    Quasi-static problems;    Virtual work principle;   

DOI  :  10.1016/j.ijsolstr.2013.06.010

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier Ltd. All rights reserved.

【 授权许可】

Free