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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
Abstract
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.
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Authors (3)
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Subrat Kumar Subrat PhD
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S. Chakraverty Pofessor
Cite as
Full text
- Publication version
- Accepted or Published Version
- License
- Copyright (2020 Springer Nature Switzerland AG)
Keywords
Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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European Physical Journal Plus
no. 135,
pages 1 - 18,
ISSN: 2190-5444 - Language:
- English
- Publication year:
- 2020
- Bibliographic description:
- Kumar Subrat S., Chakraverty S., Malikan M.: 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// European Physical Journal Plus -Vol. 135, (2020), s.1-18
- DOI:
- Digital Object Identifier (open in new tab) 10.1140/epjp/s13360-020-00176-3
- Verified by:
- Gdańsk University of Technology
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