Vibration and buckling characteristics of nonlocal beam placed in a magnetic field embedded in Winkler–Pasternak elastic foundation using a new refined beam theory: an analytical approach
Department of Mathematics, National Institute of Technology Rourkela, Rourkela, 769008, India
2 Department of Mechanics of Materials and Structures, Faculty of Civil and Environmental Engineering, Gdansk University of Technology, Gdansk, Poland
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Accepted: 31 October 2019
Published online: 28 January 2020
In this article, a new refined beam theory, namely one variable first-order shear deformation theory, has been employed to study the vibration and buckling characteristics of nonlocal beam. The beam is exposed to an axial magnetic field and embedded in Winkler–Pasternak foundation. The von Kármán hypothesis along with Hamilton’s principle has been implemented to derive the governing equations for both the vibration and buckling studies, and closed-form solutions are obtained for simply supported beam using the Navier’s approach. Further, a parametric study has been conducted to explore the impacts of small-scale parameter, Winkler modulus, shear modulus and magnetic field intensity on natural frequencies and critical buckling loads.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020